From a14e2341e1247f9864d548c1675c67b7b9d010ea Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Tue, 6 Jan 2026 10:29:25 +0000 Subject: [PATCH 01/22] initial work on DIC guide. --- docs/source/guide/guide_dic.rst | 142 +++++++++++++++++++++++++++++++- 1 file changed, 140 insertions(+), 2 deletions(-) diff --git a/docs/source/guide/guide_dic.rst b/docs/source/guide/guide_dic.rst index 43918f36..8186c64a 100644 --- a/docs/source/guide/guide_dic.rst +++ b/docs/source/guide/guide_dic.rst @@ -1,4 +1,142 @@ + .. _guide_dic: -Digital Image Correlation Guide -=============================== +Digital Image Correlation (DIC) Guide +====================================== + +Digital Image Correlation (DIC) is a technique for measuring +deformation, displacement, and strain by analyzing a sequence of images captured +during a loading process. At its core, DIC tracks the movement of patterns on a +surface—tiny speckles or textures—between images, and from this motion, deduces +how the material has deformed. + +Local Subset DIC +---------------- +The simplest form of DIC divides the image into small regions called *subsets*. +By comparing the intensity patterns of these subsets across images, we can estimate +their displacement. This approach is computationally efficient and works well +for small deformations, but it can struggle when subsets distort significantly. + +Shape Functions +--------------- +To model how a subset deforms, we introduce *shape functions*. These are +mathematical mappings that describe how points inside a subset move relative to +each other. Pyvale supports three commonly used shape functions in DIC. The simplest shape function assumes *rigid* translation (two +parameters: horizontal and vertical shift): + +.. math:: + \mathbf{x'}=\left[\begin{array}{l}p_0 \\ p_1\end{array}\right]+\left[\begin{array}{cc}1+p_2 & p_3 \\ p_4 & 1+p_5\end{array}\right] \mathbf{x} + +Beyond this there's affine shape functions (6 parameters) that can account for translation, scaling, and shearing: + +.. math:: + \mathbf{x'}=\left[\begin{array}{l}p_0 \\ p_1\end{array}\right]+\left[\begin{array}{cc}1+p_2 & p_3 \\ p_4 & 1+p_5\end{array}\right] \mathbf{x} + +Finally, Pyvale supports quadratic shape functions (12 parameters) + +.. math:: + + \mathbf{x'} = \begin{bmatrix} p_0 + (1+p_2)x + p_3 y + p_6 x^2 + p_7 xy + p_8 y^2 \\ p_1 + p_4 x + (1+p_5)y + p_9 x^2 + p_{10} xy + p_{11} y^2 \end{bmatrix} + +.. image:: shape_functions_light.png + :class: only-light + :alt: Diagram (light) + + +.. image:: shape_functions_dark.png + :class: only-dark + :alt: Diagram (dark) + +Cost Functions / Correlation Criterion +--------------------------------------- +How do we decide if two subsets *match*? To do this we use what's known as a cost function, or often reffered to as a Correlation Criterion. +This is a numerical measure of similarity between the reference subset and the deformed +subset. Pyvale supports three choices + +- **Zero-Normalized Sum of Squared Differences (ZNSSD):** Handles both brightness and contrast shifts. +- **Normalized Sum of Squared Differences (NSSD):** More robust to intensity scaling. +- **Sum of Squared Differences (SSD):** Simple, but sensitive to lighting changes. + +The goal is to minimize this cost function by adjusting the displacement and +shape parameters until the subsets align as closely as possible. + +Cost Function Optimization +---------------------------- +Minimizing the value fo the cost function is requires using a optimization routine. +These algorithms start with an initial guess and refine it step by step. Convergence depends on a good +initial guess and a generally well-behaved cost surface. Pyvale uses a +Levenberg-Marquardt non-linear optimization routine to minimize the cost +function. + + +Sub-pixel Accuracy +------------------ + + +Sub-pixel Accuracy +------------------ +Digital Image Correlation aims for precision beyond the pixel grid. Integer-pixel +matching is a good start, but real displacements rarely align perfectly with pixel +boundaries. To capture these subtle shifts, we refine the measurement to *sub-pixel* +accuracy. + +This refinement relies on interpolation. Instead of treating the image as a discrete +array, we approximate it as a smooth surface. Bicubic B-spline interpolation is a +common choice because it provides continuity in both first and second derivatives, +which improves numerical stability during optimization. + +### Bicubic B-spline Interpolation +Let the reference image intensity be \( f(x, y) \), known at integer coordinates. +To evaluate it at a non-integer point \((x', y')\), we compute: + +.. math:: + f(x', y') \approx \sum_{i=-1}^{2} \sum_{j=-1}^{2} B(x' - (x+i)) \, B(y' - (y+j)) \, f(x+i, y+j) + +where: +- \( w_i(x') \) and \( w_j(y') \) are cubic B-spline basis functions, +- the summation spans a \(4 \times 4\) neighborhood around \((x', y')\). + +The cubic B-spline basis ensures smooth interpolation: + +.. math:: + B(t) = \frac{1}{6} + \begin{cases} + (3 - t)^3, & 0 \le t < 1 \\ + (3 - t)^3 - 4(2 - t)^3, & 1 \le t < 2 \\ + (3 - t)^3 - 4(2 - t)^3 + 6(1 - t)^3, & 2 \le t < 3 \\ + 0, & t \ge 3 + \end{cases} + +This smoothness is essential for gradient-based optimization methods used in DIC. +Linear interpolation, by contrast, introduces discontinuities that can hinder +convergence. + +Reliability Guided DIC (RG-DIC) +-------------------------------- +Not all subsets are created equal. Some have rich texture and produce reliable +matches; others are bland and ambiguous. RG-DIC tackles this by prioritizing +high-confidence regions first, then propagating their solutions to neighbors. +Think of it as solving the easy puzzles first, then using those clues to crack +the harder ones. This strategy improves robustness, especially in noisy or +low-texture areas. + +Strain Calculations +-------------------- + +Strain Tensor Formulations +------------------- +Once we know how subsets move, we can compute strain. But strain is subtle: it’s +not just displacement, but how displacement gradients vary across space. Common +formulations include: + +- **Lagrangian strain:** Based on the original configuration—good for large + deformations. +- **Eulerian strain:** Based on the current configuration—useful for incremental + analysis. +- **Green-Lagrange strain:** A nonlinear measure that handles big rotations and + stretches gracefully. + +Choosing the right strain measure depends on your application: small elastic +strains? Stick with linear. Large plastic deformations? Go nonlinear. + + From a01969a594e02518c577bfcbb8a0f96f1944089a Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Fri, 16 Jan 2026 08:52:55 +0000 Subject: [PATCH 02/22] Further updates to DIC guide. --- docs/source/conf.py | 1 + docs/source/guide/guide_dic.rst | 42 ++++++++++++++++++--------------- 2 files changed, 24 insertions(+), 19 deletions(-) diff --git a/docs/source/conf.py b/docs/source/conf.py index 1430cf9c..0bf14b31 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -32,6 +32,7 @@ 'sphinx_codeautolink', 'sphinx_copybutton', 'sphinx_gallery.gen_gallery', + 'sphinx.ext.mathjax', 'breathe', 'myst_parser' ] diff --git a/docs/source/guide/guide_dic.rst b/docs/source/guide/guide_dic.rst index 8186c64a..4dec6f57 100644 --- a/docs/source/guide/guide_dic.rst +++ b/docs/source/guide/guide_dic.rst @@ -17,6 +17,11 @@ By comparing the intensity patterns of these subsets across images, we can estim their displacement. This approach is computationally efficient and works well for small deformations, but it can struggle when subsets distort significantly. + +.. image:: cost.gif + :alt: Example Cost Minimization + + Shape Functions --------------- To model how a subset deforms, we introduce *shape functions*. These are @@ -25,18 +30,13 @@ each other. Pyvale supports three commonly used shape functions in DIC. The sim parameters: horizontal and vertical shift): .. math:: - \mathbf{x'}=\left[\begin{array}{l}p_0 \\ p_1\end{array}\right]+\left[\begin{array}{cc}1+p_2 & p_3 \\ p_4 & 1+p_5\end{array}\right] \mathbf{x} - -Beyond this there's affine shape functions (6 parameters) that can account for translation, scaling, and shearing: - -.. math:: - \mathbf{x'}=\left[\begin{array}{l}p_0 \\ p_1\end{array}\right]+\left[\begin{array}{cc}1+p_2 & p_3 \\ p_4 & 1+p_5\end{array}\right] \mathbf{x} + \xi(x_i,y_i, \mathbf{p}) = + \underbrace{\begin{bmatrix} p_0 \\ p_1 \end{bmatrix}}_{\text{rigid}} + + \underbrace{\begin{bmatrix} 1+p_2 & p_3 \\ p_4 & 1+p_5 \end{bmatrix} + \begin{bmatrix} x_i \\ y_i \end{bmatrix}}_{\text{affine}} + \underbrace{\begin{bmatrix} p_6 & p_7 & p_8 \\ p_9 & p_{10} & p_{11} \end{bmatrix} + \begin{bmatrix} x_i^2 \\ x_iy_i \\ y_i^2 \end{bmatrix}}_{\text{quadratic}} -Finally, Pyvale supports quadratic shape functions (12 parameters) - -.. math:: - - \mathbf{x'} = \begin{bmatrix} p_0 + (1+p_2)x + p_3 y + p_6 x^2 + p_7 xy + p_8 y^2 \\ p_1 + p_4 x + (1+p_5)y + p_9 x^2 + p_{10} xy + p_{11} y^2 \end{bmatrix} +Each higher-order shape function includes all terms from the lower-order functions: affine includes rigid terms, and quadratic includes both affine and rigid terms. .. image:: shape_functions_light.png :class: only-light @@ -53,9 +53,18 @@ How do we decide if two subsets *match*? To do this we use what's known as a cos This is a numerical measure of similarity between the reference subset and the deformed subset. Pyvale supports three choices -- **Zero-Normalized Sum of Squared Differences (ZNSSD):** Handles both brightness and contrast shifts. -- **Normalized Sum of Squared Differences (NSSD):** More robust to intensity scaling. -- **Sum of Squared Differences (SSD):** Simple, but sensitive to lighting changes. +.. math:: + \text{SSD} = \sum_i \big(f(x_{i},y_{i}) - g(x_{i},y_{i})\big)^{2} + +where :math:`f(x_{i},y_{i})` and :math:`g(x_{i},y_{i})` represent the gray-level intensity values at location :math:`(x_{i},y_{i})` in the reference and deformed images, respectively. To reduce sensitivity to intensity scaling, the Normalized SSD (NSSD) is defined as: + +.. math:: + \text{NSSD} = \sum_i \left( \frac{f(x_{i},y_{i})}{\sqrt{\sum_{j} f(x_{j},y_{j})^{2}}} - \frac{g(x_{i},y_{i})}{\sqrt{\sum_{j} g(x_{j},y_{j})^{2}}} \right)^{2} + +.. math:: + \text{ZNSSD} = \sum_i \left( \frac{\bar{f}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{f}(x_{j},y_{j})^{2}}} - \frac{\bar{g}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{g}(x_{j},y_{j})^{2}}} \right)^{2} + +where :math:`\bar{f}(x_{i},y_{i}) = f(x_{i},y_{i}) - f_m`, and :math:`f_m` is the mean gray-level value of the subset. ZNSSD is invariant to both additive and multiplicative intensity changes. The goal is to minimize this cost function by adjusting the displacement and shape parameters until the subsets align as closely as possible. @@ -68,11 +77,6 @@ initial guess and a generally well-behaved cost surface. Pyvale uses a Levenberg-Marquardt non-linear optimization routine to minimize the cost function. - -Sub-pixel Accuracy ------------------- - - Sub-pixel Accuracy ------------------ Digital Image Correlation aims for precision beyond the pixel grid. Integer-pixel From 487d592129d400b4bfd4a7549786cbb1120acf1e Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Tue, 20 Jan 2026 15:58:47 +0000 Subject: [PATCH 03/22] updated guide. --- docs/source/guide/guide_dic.rst | 51 ++++++++++++++++++--------------- 1 file changed, 28 insertions(+), 23 deletions(-) diff --git a/docs/source/guide/guide_dic.rst b/docs/source/guide/guide_dic.rst index 4dec6f57..ca633b4b 100644 --- a/docs/source/guide/guide_dic.rst +++ b/docs/source/guide/guide_dic.rst @@ -6,16 +6,24 @@ Digital Image Correlation (DIC) Guide Digital Image Correlation (DIC) is a technique for measuring deformation, displacement, and strain by analyzing a sequence of images captured -during a loading process. At its core, DIC tracks the movement of patterns on a -surface—tiny speckles or textures—between images, and from this motion, deduces -how the material has deformed. +during a loading process. At its core, DIC tracks the movement of patterns/speckles/textures between images, +and from this motion, deduces how the material has deformed. Local Subset DIC ---------------- -The simplest form of DIC divides the image into small regions called *subsets*. +In Local subset DIC images are divided into small :math:`N \times N` pixel regions which are called *subsets*. By comparing the intensity patterns of these subsets across images, we can estimate -their displacement. This approach is computationally efficient and works well -for small deformations, but it can struggle when subsets distort significantly. +their displacement. The image below shows the cost (where 0 is a perfect match) +for a brute force scan along the x-axis. + +Typically we don't use a brute force +approach, but instead use an optimization algorith that is much more computationally +efficient. The optimization tries to minimize the difference between the +reference and deformed subset by using the gradient. You can see from the +brute-force approach that there's local minima where the optimizer might get +stuck. It's therefore important to ensure that any initial guess is reasonably +close to the actual parameters that define the mapping from the subset in the +reference image to the subset in the deformed image. .. image:: cost.gif @@ -24,10 +32,12 @@ for small deformations, but it can struggle when subsets distort significantly. Shape Functions --------------- -To model how a subset deforms, we introduce *shape functions*. These are +It's often the case that a subset undergoes a more complex translation than just a pure rigid translation between reference and deformed image. +To model how a subset deforms more genreally, we introduce *shape functions*. These are mathematical mappings that describe how points inside a subset move relative to -each other. Pyvale supports three commonly used shape functions in DIC. The simplest shape function assumes *rigid* translation (two -parameters: horizontal and vertical shift): +each other. Pyvale supports three commonly used shape functions in DIC. The simplest of course is a pure *rigid* translation (two +parameters: horizontal and vertical shift). After this comes *affine* and +*quadratic* shape functions: .. math:: \xi(x_i,y_i, \mathbf{p}) = @@ -65,7 +75,6 @@ where :math:`f(x_{i},y_{i})` and :math:`g(x_{i},y_{i})` represent the gray-leve \text{ZNSSD} = \sum_i \left( \frac{\bar{f}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{f}(x_{j},y_{j})^{2}}} - \frac{\bar{g}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{g}(x_{j},y_{j})^{2}}} \right)^{2} where :math:`\bar{f}(x_{i},y_{i}) = f(x_{i},y_{i}) - f_m`, and :math:`f_m` is the mean gray-level value of the subset. ZNSSD is invariant to both additive and multiplicative intensity changes. - The goal is to minimize this cost function by adjusting the displacement and shape parameters until the subsets align as closely as possible. @@ -79,27 +88,23 @@ function. Sub-pixel Accuracy ------------------ -Digital Image Correlation aims for precision beyond the pixel grid. Integer-pixel -matching is a good start, but real displacements rarely align perfectly with pixel -boundaries. To capture these subtle shifts, we refine the measurement to *sub-pixel* -accuracy. +DIC aims for precision beyond the integer values defined by the images pixel grid. Integer-pixel +matching is a good start, but physical displacements do not perfectly map to pixel +boundaries. To capture this, we refine the measurement to *sub-pixel* +accuracy using interpolation. -This refinement relies on interpolation. Instead of treating the image as a discrete -array, we approximate it as a smooth surface. Bicubic B-spline interpolation is a +Instead of treating the image as a discrete +array, we approximate it as a smooth surface. **Bicubic B-spline interpolation** is a common choice because it provides continuity in both first and second derivatives, which improves numerical stability during optimization. -### Bicubic B-spline Interpolation -Let the reference image intensity be \( f(x, y) \), known at integer coordinates. -To evaluate it at a non-integer point \((x', y')\), we compute: +Let the reference image intensity be :math:`f(x, y)`. Which is known at integer coordinates. +To evaluate it at a non-integer point :math:`(x', y')`, we compute: .. math:: f(x', y') \approx \sum_{i=-1}^{2} \sum_{j=-1}^{2} B(x' - (x+i)) \, B(y' - (y+j)) \, f(x+i, y+j) -where: -- \( w_i(x') \) and \( w_j(y') \) are cubic B-spline basis functions, -- the summation spans a \(4 \times 4\) neighborhood around \((x', y')\). - +where :math:`B(...)` are cubic B-spline basis functions. The summation spans a \(4 \times 4\) neighborhood around \((x', y')\). The cubic B-spline basis ensures smooth interpolation: .. math:: From ef986b0394ea3c65dc886549a0a808ba7a728bb3 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Thu, 22 Jan 2026 12:31:30 +0000 Subject: [PATCH 04/22] latest DIC guid changes. --- docs/source/guide/guide_dic.rst | 45 ++++++++------------------------- 1 file changed, 11 insertions(+), 34 deletions(-) diff --git a/docs/source/guide/guide_dic.rst b/docs/source/guide/guide_dic.rst index ca633b4b..b5c93adf 100644 --- a/docs/source/guide/guide_dic.rst +++ b/docs/source/guide/guide_dic.rst @@ -1,4 +1,5 @@ + .. _guide_dic: Digital Image Correlation (DIC) Guide @@ -91,43 +92,19 @@ Sub-pixel Accuracy DIC aims for precision beyond the integer values defined by the images pixel grid. Integer-pixel matching is a good start, but physical displacements do not perfectly map to pixel boundaries. To capture this, we refine the measurement to *sub-pixel* -accuracy using interpolation. - -Instead of treating the image as a discrete -array, we approximate it as a smooth surface. **Bicubic B-spline interpolation** is a -common choice because it provides continuity in both first and second derivatives, -which improves numerical stability during optimization. - -Let the reference image intensity be :math:`f(x, y)`. Which is known at integer coordinates. -To evaluate it at a non-integer point :math:`(x', y')`, we compute: - -.. math:: - f(x', y') \approx \sum_{i=-1}^{2} \sum_{j=-1}^{2} B(x' - (x+i)) \, B(y' - (y+j)) \, f(x+i, y+j) - -where :math:`B(...)` are cubic B-spline basis functions. The summation spans a \(4 \times 4\) neighborhood around \((x', y')\). -The cubic B-spline basis ensures smooth interpolation: - -.. math:: - B(t) = \frac{1}{6} - \begin{cases} - (3 - t)^3, & 0 \le t < 1 \\ - (3 - t)^3 - 4(2 - t)^3, & 1 \le t < 2 \\ - (3 - t)^3 - 4(2 - t)^3 + 6(1 - t)^3, & 2 \le t < 3 \\ - 0, & t \ge 3 - \end{cases} - -This smoothness is essential for gradient-based optimization methods used in DIC. -Linear interpolation, by contrast, introduces discontinuities that can hinder -convergence. +accuracy using interpolation. Instead of treating the image as a discrete +array, we approximate it as a smooth surface. This is done using **cubic B-spline +interpolation**. Generally, B-spline curves do not pass through the control +points (pixel values) and *interpolating* B-splines are needed to pass through +exact locations. More details can be found `here `_. Reliability Guided DIC (RG-DIC) -------------------------------- -Not all subsets are created equal. Some have rich texture and produce reliable -matches; others are bland and ambiguous. RG-DIC tackles this by prioritizing -high-confidence regions first, then propagating their solutions to neighbors. -Think of it as solving the easy puzzles first, then using those clues to crack -the harder ones. This strategy improves robustness, especially in noisy or -low-texture areas. +It's highly likely that some subsets will poorly correlate due to texture changes, occlusion, noise, or large local deformations. +Reliability‑Guided DIC (RG‑DIC) addresses this by correlating subsets in an order determined by the correlation coefficient. +After selecting and correlating at aseed location, RG‑DIC uses the results to provide initial guesses for the correlation of neighbouring subsets. +The algorithm then expands outward in a front‑propagation style. +Mathematical details can be found `here `_. Strain Calculations -------------------- From ce02caccb5ad7f4f51c528aefe732fa60ac461f0 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Thu, 22 Jan 2026 14:45:57 +0000 Subject: [PATCH 05/22] Added optimimization description. --- docs/source/guide/guide_dic.rst | 170 ++++++++++++++++++++++++++------ 1 file changed, 138 insertions(+), 32 deletions(-) diff --git a/docs/source/guide/guide_dic.rst b/docs/source/guide/guide_dic.rst index b5c93adf..9a9e6d81 100644 --- a/docs/source/guide/guide_dic.rst +++ b/docs/source/guide/guide_dic.rst @@ -2,7 +2,7 @@ .. _guide_dic: -Digital Image Correlation (DIC) Guide +Digital Image Correlation (DIC) Theory Overview ====================================== Digital Image Correlation (DIC) is a technique for measuring @@ -14,11 +14,14 @@ Local Subset DIC ---------------- In Local subset DIC images are divided into small :math:`N \times N` pixel regions which are called *subsets*. By comparing the intensity patterns of these subsets across images, we can estimate -their displacement. The image below shows the cost (where 0 is a perfect match) +their displacement. The image below shows the difference/cost (where 0 is a perfect match) for a brute force scan along the x-axis. -Typically we don't use a brute force -approach, but instead use an optimization algorith that is much more computationally + +.. image:: cost.gif + :alt: Example Cost Minimization + +Typically we don't use a brute forcea approach, but instead use an **optimization algorith** that is much more computationally efficient. The optimization tries to minimize the difference between the reference and deformed subset by using the gradient. You can see from the brute-force approach that there's local minima where the optimizer might get @@ -26,11 +29,6 @@ stuck. It's therefore important to ensure that any initial guess is reasonably close to the actual parameters that define the mapping from the subset in the reference image to the subset in the deformed image. - -.. image:: cost.gif - :alt: Example Cost Minimization - - Shape Functions --------------- It's often the case that a subset undergoes a more complex translation than just a pure rigid translation between reference and deformed image. @@ -67,25 +65,84 @@ subset. Pyvale supports three choices .. math:: \text{SSD} = \sum_i \big(f(x_{i},y_{i}) - g(x_{i},y_{i})\big)^{2} -where :math:`f(x_{i},y_{i})` and :math:`g(x_{i},y_{i})` represent the gray-level intensity values at location :math:`(x_{i},y_{i})` in the reference and deformed images, respectively. To reduce sensitivity to intensity scaling, the Normalized SSD (NSSD) is defined as: +where :math:`f(x_{i},y_{i})` and :math:`g(x_{i},y_{i})` represent the gray-level intensity values at location :math:`(x_{i},y_{i})` in the reference and deformed images, respectively. +To reduce sensitivity to intensity scaling, the Normalized SSD (NSSD) is defined as: .. math:: \text{NSSD} = \sum_i \left( \frac{f(x_{i},y_{i})}{\sqrt{\sum_{j} f(x_{j},y_{j})^{2}}} - \frac{g(x_{i},y_{i})}{\sqrt{\sum_{j} g(x_{j},y_{j})^{2}}} \right)^{2} +Finally there's the ZNSSD, which is invariant to both additive and multiplicative intensity changes: + .. math:: \text{ZNSSD} = \sum_i \left( \frac{\bar{f}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{f}(x_{j},y_{j})^{2}}} - \frac{\bar{g}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{g}(x_{j},y_{j})^{2}}} \right)^{2} -where :math:`\bar{f}(x_{i},y_{i}) = f(x_{i},y_{i}) - f_m`, and :math:`f_m` is the mean gray-level value of the subset. ZNSSD is invariant to both additive and multiplicative intensity changes. -The goal is to minimize this cost function by adjusting the displacement and -shape parameters until the subsets align as closely as possible. +where :math:`\bar{f}(x_{i},y_{i}) = f(x_{i},y_{i}) - f_m`, and :math:`f_m` is the mean gray-level value of the subset. Cost Function Optimization ---------------------------- Minimizing the value fo the cost function is requires using a optimization routine. These algorithms start with an initial guess and refine it step by step. Convergence depends on a good -initial guess and a generally well-behaved cost surface. Pyvale uses a -Levenberg-Marquardt non-linear optimization routine to minimize the cost -function. +initial guess and a generally well-behaved cost surface. +Pyvale uses a **Levenberg-Marquardt** non-linear optimization routine to minimize the cost function. +The algorithm proceeds iteratively by updating the shape-function parameter +vector :math:`\mathbf{p}`. At iteration :math:`i`, the parameters are updated according to + +.. math:: + + \mathbf{p}_{i+1} + = \mathbf{p}_{i} + - \left( \mathbf{H} + \lambda\,\mathrm{diag}\!\left[\mathbf{H}\right] \right)^{-1} + \nabla C(\mathbf{p}_{i}), + +where :math:`\nabla C(\mathbf{p}_{i})` denotes the gradient of the cost function +evaluated at the current parameters. The matrix :math:`\mathbf{H}` is an +approximation to the Hessian, taken here as +:math:`\mathbf{H} \approx \mathbf{J}\mathbf{J}^{\mathsf{T}}`, with +:math:`\mathbf{J}` the Jacobian of the residuals with respect to +:math:`\mathbf{p}`. The scalar :math:`\lambda > 0` is the +Levenberg–Marquardt damping factor, which controls the balance between +gradient-descent and Gauss–Newton behaviour. + +After computing the updated parameter vector :math:`\mathbf{p}_{i+1}`, the cost +function is re-evaluated to assess the quality of the update. Based on the +resulting change in error, the damping parameter :math:`\lambda` is adjusted. +If the cost **increases**, don't update the shape function parameters and +**increase** the damping by a factor of 10. +If the cost **decreases**, the update is accepted and the damping is **reduced** by a factor of 10. +This update–evaluation–adjustment cycle is repeated until convergence criteria +based on both parameter change and cost-function reduction are satisfied. The +magnitude of the parameter update is quantified by + +.. math:: + + \text{d}p_{\text{norm}} + = \sqrt{\langle \Delta\mathbf{p}, \Delta\mathbf{p} \rangle}, + \qquad + p_{\text{norm}} + = \sqrt{\langle \mathbf{p}, \mathbf{p} \rangle}, + +where :math:`\Delta\mathbf{p} = \mathbf{p}_{i+1} - \mathbf{p}_{i}`, and +:math:`\langle \cdot,\cdot \rangle` denotes the Euclidean inner product. From +these quantities, the relative parameter-update tolerance is defined as + +.. math:: + + x_{\text{tol}} + = \frac{\text{d}p_{\text{norm}}}{p_{\text{norm}} + \varepsilon}, + +with :math:`\varepsilon` a small regularizing constant included to avoid division +by zero. Convergence in terms of the cost function is measured using + +.. math:: + + f_{\text{tol}} + = \frac{\lvert C_{i+1} - C_{i} \rvert}{\lvert C_{i} \rvert + \varepsilon}. + +Iteration terminates once both :math:`x_{\text{tol}}` and +:math:`f_{\text{tol}}` fall below user-specified thresholds, indicating that +further updates would produce only negligible changes in the parameters and the +cost function. + Sub-pixel Accuracy ------------------ @@ -98,31 +155,80 @@ interpolation**. Generally, B-spline curves do not pass through the control points (pixel values) and *interpolating* B-splines are needed to pass through exact locations. More details can be found `here `_. +.. list-table:: + :width: 70% + :class: borderless + + * - .. image:: ./guide_preinterp.png + :width: 100% + + - .. image:: ./guide_interp.png + :width: 100% + Reliability Guided DIC (RG-DIC) -------------------------------- -It's highly likely that some subsets will poorly correlate due to texture changes, occlusion, noise, or large local deformations. +It's highly likely that some subsets will poorly correlate due to texture changes, cracks, noise, changes in lighting, or large local deformations. Reliability‑Guided DIC (RG‑DIC) addresses this by correlating subsets in an order determined by the correlation coefficient. After selecting and correlating at aseed location, RG‑DIC uses the results to provide initial guesses for the correlation of neighbouring subsets. The algorithm then expands outward in a front‑propagation style. Mathematical details can be found `here `_. -Strain Calculations --------------------- +.. image:: guide_rgdic.gif + :width: 80% + :align: center + +Strain Calculations & Formulations +----------------------------------- +The in-plane strain components can be calculated using the spatial derivatives of the displacement field to capture local changes in geometry. +The 2D deformation gradient matrix, :math:`\mathbf{F}`, is given by: + +.. math:: + + \mathbf{F} = + \begin{bmatrix} + 1+\dfrac{\partial u_x}{\partial x} & \dfrac{\partial u_x}{\partial y} \\ + \dfrac{\partial u_y}{\partial x} & 1+\dfrac{\partial u_y}{\partial y} + \end{bmatrix} + = \mathbf{I} + \nabla \boldsymbol{u}, + \qquad + \boldsymbol{u} = + \begin{bmatrix} + u_x \\ u_y + \end{bmatrix}. + +To calculate the partial derivatives above, we compute the gradient over a square window containing :math:`N \times N` displacement data points from the DIC calculation. +Because we are using displacement values from DIC, the strain window is dependent on the subset-step, :math:`s`, and subset-size, :math:`w`. +These quantities, along with the size of the strain window, form what is typically referred to as the Virtual Strain Gauge, :math:`VSG`: + +.. math:: + + VSG = (\mathrm{N} - 1)s + w + +Due to the noise in DIC measurements, smoothing is typically applied over the strain window. +We supports bilinear and biquadratic smoothing over the strain window elements. +The polynomial approximation is given by: -Strain Tensor Formulations -------------------- -Once we know how subsets move, we can compute strain. But strain is subtle: it’s -not just displacement, but how displacement gradients vary across space. Common -formulations include: +.. math:: + + \boldsymbol{u}(x,y) = \mathbf{P}(x,y)\,\mathbf{c}, + +where :math:`\boldsymbol{u} = [\,u_x\;u_y\,]^{T}`, :math:`\mathbf{P}(x,y)` is a row vector of basis terms, and :math:`\mathbf{c}` is a column vector of coefficients. The polynomial basis is: + +.. math:: -- **Lagrangian strain:** Based on the original configuration—good for large - deformations. -- **Eulerian strain:** Based on the current configuration—useful for incremental - analysis. -- **Green-Lagrange strain:** A nonlinear measure that handles big rotations and - stretches gracefully. + \mathbf{P}(x,y) = + \begin{cases} + [1, x, y] & \text{bilinear}, \\ + [1, x, y, x^2, y^2, x^2 y, x y^2, x^2 y^2] & \text{biquadratic} + \end{cases} -Choosing the right strain measure depends on your application: small elastic -strains? Stick with linear. Large plastic deformations? Go nonlinear. +The coefficients are obtained by solving a linear least-squares problem, since the displacement field is linearly parameterized in the unknown coefficients. +Once the polynomial coefficients have been obtained, the deformation gradient tensor and strain can be calculated. We currently support the following strain tensor formulations: +- ``strain_formulation="HENCKY"``, *Hencky (logarithmic)*: :math:`\boldsymbol{\varepsilon}=\ln(\sqrt{\mathbf{F}^\mathsf{T}\mathbf{F}})` +- ``strain_formulation="GREEN"``, *Green–Lagrange*: :math:`\boldsymbol{\varepsilon}=\tfrac{1}{2}\left(\mathbf{F}^\mathsf{T}\mathbf{F}-\mathbf{I}\right)` +- ``strain_formulation="ALMANSI"``, *Euler–Almansi*: :math:`\boldsymbol{\varepsilon}=\tfrac{1}{2}\left(\mathbf{I}-(\mathbf{F}\mathbf{F}^\mathsf{T})^{-1}\right)` +- ``strain_formulation="BIOT_LAGRANGE"``, *Biot (right / Lagrangian)*: :math:`\boldsymbol{\varepsilon}=\sqrt{\mathbf{F}^\mathsf{T}\mathbf{F}}-\mathbf{I}` +- ``strain_formulation="BOIT_EULER"``, *Biot (left / Eulerian)*: :math:`\boldsymbol{\varepsilon}=\sqrt{\mathbf{F}\mathbf{F}^\mathsf{T}}-\mathbf{I}` +where :math:`\mathbf{I}` is the :math:`2 \times 2` identity matrix. From e51f297ff833d2d84d3b9f8dfc93563b95862c47 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Mon, 26 Jan 2026 13:11:07 +0000 Subject: [PATCH 06/22] added bspline explainer. --- docs/source/guide/guide_dic.rst | 72 +++++++++++++++++++++++++++++++-- 1 file changed, 69 insertions(+), 3 deletions(-) diff --git a/docs/source/guide/guide_dic.rst b/docs/source/guide/guide_dic.rst index 9a9e6d81..e4ddee11 100644 --- a/docs/source/guide/guide_dic.rst +++ b/docs/source/guide/guide_dic.rst @@ -151,10 +151,76 @@ matching is a good start, but physical displacements do not perfectly map to pix boundaries. To capture this, we refine the measurement to *sub-pixel* accuracy using interpolation. Instead of treating the image as a discrete array, we approximate it as a smooth surface. This is done using **cubic B-spline -interpolation**. Generally, B-spline curves do not pass through the control -points (pixel values) and *interpolating* B-splines are needed to pass through -exact locations. More details can be found `here `_. +interpolation**. +Cubic B-spline interpolation represents the interpolated function as a weighted sum of shifted B-spline basis functions: + +.. math:: + f(x,y) = \sum_{i,j} c_{i,j} \, \beta^3(x - i) \, \beta^3(y - j) + +where :math:`c_{i,j}` are B-spline coefficients and :math:`\beta^3(t)` is the cubic B-spline basis function: + +.. math:: + + \beta^3(t) = \frac{1}{6} \begin{cases} + (2 - |t|)^3 & \text{if } 1 \leq |t| < 2 \\ + 4 - 6t^2 + 3|t|^3 & \text{if } |t| < 1 \\ + 0 & \text{if } |t| \geq 2 + \end{cases} + +Prefiltering +^^^^^^^^^^^^^^^^^^ +To ensure that the B-spline passes through the original intensity values, we +can apply a filter to get the B-spline coefficients. +For a 1D row of intensity data :math:`\{f_0, f_1, \ldots, f_{N-1}\}`, the filtering has three steps. +First is to apply a normalization: + +.. math:: + c_i^{(0)} = (1-z)(1-1/z) f_i + +with pole :math:`z = \sqrt{3} - 2`. Then apply a Causal filter: + +.. math:: + c_i^{(+)} = c_i^{(0)} + z \, c_{i-1}^{(+)}, \quad i = 1, 2, \ldots, N-1 + +with an initial condition of :math:`c_0^{(+)} = c_0^{(0)}`. The final step is +to apply an anticausal filter. Starting at end of the row: + +.. math:: + c_{N-1} = \frac{z}{z^2-1} c_{N-1}^{(+)} + +and then applying: + +.. math:: + c_i = z(c_{i+1} - c_i^{(+)}), \quad i = N-2, N-3, \ldots, 0 + +This 1D filtering can be done for each row of the image to get a list of coefficients :math:`c_{i,j}^{(x)}`. It can then be applied to the colum of the result to +get a full list of coefficients :math:`c_{i,j}`. + +Evaluation +^^^^^^^^^^ +to get the intensity value at an arbitraty subpixel location :math:`f(x,y)` we +compute the local coordinates: + +.. math:: + + t_x = x - \mathrm{floor}(x), \quad t_y = y - \mathrm{floor(y)} + +then evaluate the basis functions for the local coordinates: + +.. math:: + B_0(t) &= (1-t)^3/6 \\ + B_1(t) &= (3t^3 - 6t^2 + 4)/6 \\ + B_2(t) &= (-3t^3 + 3t^2 + 3t + 1)/6 \\ + B_3(t) &= t^3/6 + +and compute the interpolated value: + +.. math:: + + f(x,y) = \sum_{k=0}^{3} \sum_{\ell=0}^{3} c_{i_x+k-1, i_y+\ell-1} \, B_k(t_x) \, B_\ell(t_y) + + .. list-table:: :width: 70% :class: borderless From e602b06588ad45d375657ae9e70d01d6dcbd4615 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Wed, 28 Jan 2026 15:58:39 +0000 Subject: [PATCH 07/22] removed pointless comments in docs requirements. --- docs/requirements.txt | 38 +-- docs/source/theory_guide/guide_dic_theory.rst | 318 ++++++++++++++++++ 2 files changed, 336 insertions(+), 20 deletions(-) create mode 100644 docs/source/theory_guide/guide_dic_theory.rst diff --git a/docs/requirements.txt b/docs/requirements.txt index 4e3b51ff..e3d4fa44 100644 --- a/docs/requirements.txt +++ b/docs/requirements.txt @@ -1,37 +1,35 @@ -# --- Core Sphinx Builder --- +# Core Stuff sphinx -babel # For language support/i18n -docutils # For RST parsing (fundamental) -imagesize # For image dimension handling -pygments # For code highlighting -snowballstemmer # For search indexing (used by epub3 builder) +babel +docutils +imagesize +pygments +snowballstemmer +breathe -# --- Theme and Parser --- +# Theme furo alabaster myst-parser -# --- Sphinx Extensions (Directly Listed in conf.py) --- +# nice formatting stuff sphinx-codeautolink sphinx-copybutton -breathe # For C++ documentation integration -sphinx-gallery # For example gallery generation +sphinx-gallery +sphinx-design +sphinx-autodoc-typehints +ipywidgets +matplotlib +pillow -# --- Extension Dependencies --- -sphinx-autodoc-typehints # You use 'autodoc' which benefits from this -ipywidgets # Often required by sphinx-gallery examples (e.g., matplotlib output) -matplotlib # Required for plotting in sphinx-gallery examples -pillow # Required for various image/gallery operations - -# --- Specific sphinxcontrib Extensions (Explicitly added to resolve previous errors) --- -sphinxcontrib-applehelp # Needed if the epub3 builder triggers it (which is common) +sphinxcontrib-applehelp sphinxcontrib-devhelp sphinxcontrib-htmlhelp sphinxcontrib-jsmath -sphinxcontrib-qthelp # Added proactively for completeness +sphinxcontrib-qthelp sphinxcontrib-serializinghtml -# --- Your Project Dependencies (From your original list) --- +# other random stuff certifi idna jinja2 diff --git a/docs/source/theory_guide/guide_dic_theory.rst b/docs/source/theory_guide/guide_dic_theory.rst new file mode 100644 index 00000000..4fe3f765 --- /dev/null +++ b/docs/source/theory_guide/guide_dic_theory.rst @@ -0,0 +1,318 @@ + + +.. _guide_dic: + +DIC Theory Summary +====================================== + +Digital Image Correlation (DIC) is a technique for measuring +deformation, displacement, and strain by analyzing a sequence of images captured +during a loading process. At its core, DIC tracks the movement of patterns/speckles/textures between images, +and from this motion, deduces how the material has deformed. + +Local Subset DIC +---------------- +In Local subset DIC images are divided into small :math:`N \times N` pixel regions which are called *subsets*. +By comparing the intensity patterns of these subsets across images, we can estimate +their displacement. The image below shows the difference/cost (where 0 is a perfect match) +for a brute force scan along the x-axis. + + +.. image:: cost.gif + :alt: Example Cost Minimization + +Typically we don't use a brute forcea approach, but instead use an **optimization algorith** that is much more computationally +efficient. The optimization tries to minimize the difference between the +reference and deformed subset by using the gradient. You can see from the +brute-force approach that there's local minima where the optimizer might get +stuck. It's therefore important to ensure that any initial guess is reasonably +close to the actual parameters that define the mapping from the subset in the +reference image to the subset in the deformed image. + +Shape Functions +--------------- +It's often the case that a subset undergoes a more complex translation than just a pure rigid translation between reference and deformed image. +To model how a subset deforms more genreally, we introduce *shape functions*. These are +mathematical mappings that describe how points inside a subset move relative to +each other. Pyvale supports three commonly used shape functions in DIC. The simplest of course is a pure *rigid* translation (two +parameters: horizontal and vertical shift). After this comes *affine* and +*quadratic* shape functions: + +.. math:: + \xi(x_i,y_i, \mathbf{p}) = + \underbrace{\begin{bmatrix} p_0 \\ p_1 \end{bmatrix}}_{\text{rigid}} + + \underbrace{\begin{bmatrix} 1+p_2 & p_3 \\ p_4 & 1+p_5 \end{bmatrix} + \begin{bmatrix} x_i \\ y_i \end{bmatrix}}_{\text{affine}} + \underbrace{\begin{bmatrix} p_6 & p_7 & p_8 \\ p_9 & p_{10} & p_{11} \end{bmatrix} + \begin{bmatrix} x_i^2 \\ x_iy_i \\ y_i^2 \end{bmatrix}}_{\text{quadratic}} + +Each higher-order shape function includes all terms from the lower-order functions: affine includes rigid terms, and quadratic includes both affine and rigid terms. + +.. image:: shape_functions_light.png + :class: only-light + :alt: Diagram (light) + + +.. image:: shape_functions_dark.png + :class: only-dark + :alt: Diagram (dark) + +Cost Functions / Correlation Criterion +--------------------------------------- +How do we decide if two subsets *match*? To do this we use what's known as a cost function, or often reffered to as a Correlation Criterion. +This is a numerical measure of similarity between the reference subset and the deformed +subset. **Pyvale supports three choices:** + +SSD +^^^^ +.. math:: + C_{\text{SSD}} = \sum_i \big(f(x_{i},y_{i}) - g(x_{i},y_{i})\big)^{2} + + +NSSD +^^^^^ +.. math:: + C_{\text{NSSD}} = \sum_i \left( \frac{f(x_{i},y_{i})}{\sqrt{\sum_{j} f(x_{j},y_{j})^{2}}} - \frac{g(x_{i},y_{i})}{\sqrt{\sum_{j} g(x_{j},y_{j})^{2}}} \right)^{2} + +ZNSSD +^^^^^^ + +.. math:: + \text{ZNSSD} = \sum_i \left( \frac{\bar{f}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{f}(x_{j},y_{j})^{2}}} - \frac{\bar{g}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{g}(x_{j},y_{j})^{2}}} \right)^{2} + +where :math:`f(x_{i},y_{i})` and :math:`g(x_{i},y_{i})` represent the gray-level intensity values at location :math:`(x_{i},y_{i})` in the reference and deformed images. +:math:`\bar{f}(x_{i},y_{i}) = f(x_{i},y_{i}) - f_m`, and :math:`f_m` is the mean gray-level value of the subset. + +Cost Function Optimization +---------------------------- +Minimizing the value fo the cost function is requires using a optimization routine. +These algorithms start with an initial guess and refine it step by step. Convergence depends on a good +initial guess and a generally well-behaved cost surface. +Pyvale uses a **Levenberg-Marquardt** non-linear optimization routine to minimize the cost function. +The algorithm proceeds iteratively by updating the shape-function parameter +vector :math:`\mathbf{p}`. At iteration :math:`i`, the parameters are updated according to + +.. math:: + + \mathbf{p}_{i+1} + = \mathbf{p}_{i} + - \left( \mathbf{H} + \lambda\,\mathrm{diag}\!\left[\mathbf{H}\right] \right)^{-1} + \nabla C(\mathbf{p}_{i}), + +where :math:`\nabla C(\mathbf{p}_{i})` denotes the gradient of the cost function +evaluated at the current parameters. The matrix :math:`\mathbf{H}` is an +approximation to the Hessian, taken here as +:math:`\mathbf{H} \approx \mathbf{J}\mathbf{J}^{\mathsf{T}}`, with +:math:`\mathbf{J}` the Jacobian of the residuals with respect to +:math:`\mathbf{p}`. The scalar :math:`\lambda > 0` is the +Levenberg–Marquardt damping factor, which controls the balance between +gradient-descent and Gauss–Newton behaviour. + +After computing the updated parameter vector :math:`\mathbf{p}_{i+1}`, the cost +function is re-evaluated to assess the quality of the update. Based on the +resulting change in error, the damping parameter :math:`\lambda` is adjusted. +If the cost **increases**, don't update the shape function parameters and +**increase** the damping by a factor of 10. +If the cost **decreases**, the update is accepted and the damping is **reduced** by a factor of 10. +This update–evaluation–adjustment cycle is repeated until convergence criteria +based on both parameter change and cost-function reduction are satisfied. The +magnitude of the parameter update is quantified by + +.. math:: + + \text{d}p_{\text{norm}} + = \sqrt{\langle \Delta\mathbf{p}, \Delta\mathbf{p} \rangle}, + \qquad + p_{\text{norm}} + = \sqrt{\langle \mathbf{p}, \mathbf{p} \rangle}, + +where :math:`\Delta\mathbf{p} = \mathbf{p}_{i+1} - \mathbf{p}_{i}`, and +:math:`\langle \cdot,\cdot \rangle` denotes the Euclidean inner product. From +these quantities, the relative parameter-update tolerance is defined as + +.. math:: + + x_{\text{tol}} + = \frac{\text{d}p_{\text{norm}}}{p_{\text{norm}} + \varepsilon}, + +with :math:`\varepsilon` a small regularizing constant included to avoid division +by zero. Convergence in terms of the cost function is measured using + +.. math:: + + f_{\text{tol}} + = \frac{\lvert C_{i+1} - C_{i} \rvert}{\lvert C_{i} \rvert + \varepsilon}. + +Iteration terminates once both :math:`x_{\text{tol}}` and +:math:`f_{\text{tol}}` fall below user-specified thresholds, indicating that +further updates would produce only negligible changes in the parameters and the +cost function. + + +Sub-pixel Accuracy using Interpolation +-------------------------------------- + +DIC aims for precision beyond the integer values defined by the images pixel grid. Integer-pixel +matching is a good start, but physical displacements do not perfectly map to pixel +boundaries. To capture this, we refine the measurement to *sub-pixel* +accuracy using interpolation. Instead of treating the image as a discrete +array, we approximate it as a smooth surface. This is done using **cubic B-spline +interpolation**. + +Cubic B-spline interpolation +^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Cubic B-spline interpolation represents the interpolated function as a weighted sum of shifted B-spline basis functions: + +.. math:: + f(x,y) = \sum_{i,j} c_{i,j} \, \beta^3(x - i) \, \beta^3(y - j) + +where :math:`c_{i,j}` are B-spline coefficients and :math:`\beta^3(t)` is the cubic B-spline basis function: + +.. math:: + + \beta^3(t) = \frac{1}{6} \begin{cases} + (2 - |t|)^3 & \text{if } 1 \leq |t| < 2 \\ + 4 - 6t^2 + 3|t|^3 & \text{if } |t| < 1 \\ + 0 & \text{if } |t| \geq 2 + \end{cases} + +Prefiltering +^^^^^^^^^^^^^^^^^^ +To ensure that the B-spline passes through the original intensity values, we +can apply a filter to get the B-spline coefficients. +For a 1D row of intensity data :math:`\{f_0, f_1, \ldots, f_{N-1}\}`, the filtering has three steps. +First is to apply a normalization: + +.. math:: + c_i^{(0)} = (1-z)(1-1/z) f_i + +with pole :math:`z = \sqrt{3} - 2`. Then apply a **causal filter**: + +.. math:: + c_i^{(+)} = c_i^{(0)} + z \, c_{i-1}^{(+)}, \quad i = 1, 2, \ldots, N-1 + +with an initial condition of :math:`c_0^{(+)} = c_0^{(0)}`. The final step is +to apply an **anticausal filter**. Starting at end of the row: + +.. math:: + c_{N-1} = \frac{z}{z^2-1} c_{N-1}^{(+)} + +and then applying: + +.. math:: + c_i = z(c_{i+1} - c_i^{(+)}), \quad i = N-2, N-3, \ldots, 0 + +This 1D filtering can be done for each row of the image to get a list of coefficients :math:`c_{i,j}^{(x)}`. It can then be applied to the colum of the result to +get a full list of coefficients :math:`c_{i,j}`. + +Evaluation +^^^^^^^^^^ +to get the intensity value at an arbitraty subpixel location :math:`f(x,y)` we +compute the local coordinates: + +.. math:: + + t_x = x - \mathrm{floor}(x), \quad t_y = y - \mathrm{floor(y)} + +then evaluate the basis functions for the local coordinates: + +.. math:: + B_0(t) &= (1-t)^3/6 \\ + B_1(t) &= (3t^3 - 6t^2 + 4)/6 \\ + B_2(t) &= (-3t^3 + 3t^2 + 3t + 1)/6 \\ + B_3(t) &= t^3/6 + +and compute the interpolated value: + +.. math:: + + f(x,y) = \sum_{k=0}^{3} \sum_{\ell=0}^{3} c_{i_x+k-1, i_y+\ell-1} \, B_k(t_x) \, B_\ell(t_y) + + +.. list-table:: + :width: 85% + :class: borderless + + * - .. image:: ./guide_preinterp.png + :width: 100% + + - .. image:: ./guide_interp.png + :width: 100% + +Reliability Guided DIC (RG-DIC) +-------------------------------- +It's highly likely that some subsets will poorly correlate due to texture changes, cracks, noise, changes in lighting, or large local deformations. +Reliability‑Guided DIC (RG‑DIC) was a method developed by `B. Pan (2009) `_ that helps to limit the amount of poor results by correlating subsets in an order determined by the magnitude of the correlation coefficient. +The algorithm proceeds as follows: + +#. The user selects an initial seed location. Correlation is performed at the + seed location and its 4 neighbouring points. These points are marked as computed + in a global mask. +#. The four points are added to a queue according from highest correlation + coefficient to lowest. +#. The point at the top of the queue is removed. Correlation is then performed + for it's uncomputed neighbours. Succesful correlations from previously computed neighbouring subsets + are used as initial conditions for the optimization routine. +#. Newly Computed points are updated in the global mask and added to the queue. +#. The algorithm then expands outward in a front‑propagation style until all + subsets have been computed. + +.. image:: guide_rgdic.gif + :width: 80% + :align: center + +Strain Calculations & Formulations +----------------------------------- +The in-plane strain components can be calculated using the spatial derivatives of the displacement field to capture local changes in geometry. +The 2D deformation gradient matrix, :math:`\mathbf{F}`, is given by: + +.. math:: + + \mathbf{F} = + \begin{bmatrix} + 1+\dfrac{\partial u_x}{\partial x} & \dfrac{\partial u_x}{\partial y} \\ + \dfrac{\partial u_y}{\partial x} & 1+\dfrac{\partial u_y}{\partial y} + \end{bmatrix} + = \mathbf{I} + \nabla \boldsymbol{u}, + \qquad + \boldsymbol{u} = + \begin{bmatrix} + u_x \\ u_y + \end{bmatrix}. + +To calculate the partial derivatives above, we compute the gradient over a square window containing :math:`N \times N` displacement data points from the DIC calculation. +Because we are using displacement values from DIC, the strain window is dependent on the subset-step, :math:`s`, and subset-size, :math:`w`. +These quantities, along with the size of the strain window, form what is typically referred to as the Virtual Strain Gauge, :math:`VSG`: + +.. math:: + + VSG = (\mathrm{N} - 1)s + w + +Due to the noise in DIC measurements, smoothing is typically applied over the strain window. +We supports bilinear and biquadratic smoothing over the strain window elements. +The polynomial approximation is given by: + +.. math:: + + \boldsymbol{u}(x,y) = \mathbf{P}(x,y)\,\mathbf{c}, + +where :math:`\boldsymbol{u} = [\,u_x\;u_y\,]^{T}`, :math:`\mathbf{P}(x,y)` is a row vector of basis terms, and :math:`\mathbf{c}` is a column vector of coefficients. The polynomial basis is: + +.. math:: + + \mathbf{P}(x,y) = + \begin{cases} + [1, x, y] & \text{bilinear}, \\ + [1, x, y, x^2, y^2, x^2 y, x y^2, x^2 y^2] & \text{biquadratic} + \end{cases} + +The coefficients are obtained by solving a linear least-squares problem, since the displacement field is linearly parameterized in the unknown coefficients. +Once the polynomial coefficients have been obtained, the deformation gradient tensor and strain can be calculated. We currently support the following strain tensor formulations: + +- ``strain_formulation="HENCKY"``, *Hencky (logarithmic)*: :math:`\boldsymbol{\varepsilon}=\ln(\sqrt{\mathbf{F}^\mathsf{T}\mathbf{F}})` +- ``strain_formulation="GREEN"``, *Green–Lagrange*: :math:`\boldsymbol{\varepsilon}=\tfrac{1}{2}\left(\mathbf{F}^\mathsf{T}\mathbf{F}-\mathbf{I}\right)` +- ``strain_formulation="ALMANSI"``, *Euler–Almansi*: :math:`\boldsymbol{\varepsilon}=\tfrac{1}{2}\left(\mathbf{I}-(\mathbf{F}\mathbf{F}^\mathsf{T})^{-1}\right)` +- ``strain_formulation="BIOT_LAGRANGE"``, *Biot (right / Lagrangian)*: :math:`\boldsymbol{\varepsilon}=\sqrt{\mathbf{F}^\mathsf{T}\mathbf{F}}-\mathbf{I}` +- ``strain_formulation="BIOT_EULER"``, *Biot (left / Eulerian)*: :math:`\boldsymbol{\varepsilon}=\sqrt{\mathbf{F}\mathbf{F}^\mathsf{T}}-\mathbf{I}` + +where :math:`\mathbf{I}` is the :math:`2 \times 2` identity matrix. From 73ff3d1d657695eecad5782021333ae42d9d2f59 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Wed, 28 Jan 2026 15:58:56 +0000 Subject: [PATCH 08/22] added arxiv citation. --- docs/source/cite.rst | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) diff --git a/docs/source/cite.rst b/docs/source/cite.rst index 316d304a..f6ad9e6c 100644 --- a/docs/source/cite.rst +++ b/docs/source/cite.rst @@ -4,4 +4,28 @@ Citing Pyvale If Pyvale has contributed to your research or work please acknowledge the project in your academic puplications using the following citation: +.. tab-set:: + .. tab-item:: MLA + + Hirst, Joel, et al. "PYVALE: A Fast, Scalable, Open-Source 2D Digital Image Correlation + (DIC) Engine Capable of Handling Gigapixel Images." + *arXiv preprint arXiv:2601.12941* (2026). + + .. tab-item:: APA + + Hirst, J., Sibson, L., Tayeb, A., Poole, B., Sampson, M., Bielajewa, W., ... & Fletcher, L. (2026). + PYVALE: A Fast, Scalable, Open-Source 2D Digital Image Correlation (DIC) Engine + Capable of Handling Gigapixel Images. + *arXiv preprint arXiv:2601.12941*. + + .. tab-item:: Bibtex + + .. code-block:: + + @article{pyvale2026, + title={PYVALE: A Fast, Scalable, Open-Source 2D Digital Image Correlation (DIC) Engine Capable of Handling Gigapixel Images}, + author={Hirst, Joel and Sibson, Lorna and Tayeb, Adel and Poole, Ben and Sampson, Megan and Bielajewa, Wiera and Atkinson, Michael and Marsh, Alex and Spencer, Rory and Hamill, Rob and others}, + journal={arXiv preprint arXiv:2601.12941}, + year={2026} + } From 81776cc93aa9b25ff44721e487076efb7d4fa100 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Wed, 28 Jan 2026 15:59:28 +0000 Subject: [PATCH 09/22] updated homepage. --- docs/source/index.rst | 138 +++++++++++++++++++++++++++++++++++++----- 1 file changed, 122 insertions(+), 16 deletions(-) diff --git a/docs/source/index.rst b/docs/source/index.rst index 255f48c1..531b7ab2 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -9,29 +9,135 @@ :align: center :width: 600px +.. grid:: Pyvale + :text-align: center + :margin: 0 + :shadow: none + + Pyvale: The Python Validation Engine ==================================== -Pyvale is your virtual engineering laboratory: An all-in-one package for sensor uncertainty quantification simulation, experimental design, sensor placement optimisation and simulation calibration/validation. + +.. |pypi| image:: https://img.shields.io/pypi/v/pyvale + :target: https://pypi.org/project/pyvale/ + :alt: PyPI version + +.. |github| image:: https://img.shields.io/badge/github-repo-blue?logo=github + :target: https://github.com/Computer-Aided-Validation-Laboratory/pyvale + :alt: GitHub repository + +.. |wheels| image:: https://img.shields.io/github/actions/workflow/status/Computer-Aided-Validation-Laboratory/pyvale/wheels.yml?branch=main&label=Build + :target: https://github.com/Computer-Aided-Validation-Laboratory/pyvale/actions/workflows/wheels.yml + :alt: Wheels Build + +.. |tests| image:: https://img.shields.io/github/actions/workflow/status/Computer-Aided-Validation-Laboratory/pyvale/tests.yml?branch=main&label=Tests + :target: https://github.com/Computer-Aided-Validation-Laboratory/pyvale/actions/workflows/tests.yml + :alt: Run tests + +.. |issues| image:: https://img.shields.io/github/issues/Computer-Aided-Validation-Laboratory/pyvale + :target: https://github.com/Computer-Aided-Validation-Laboratory/pyvale/issues + :alt: Open GitHub issues + +.. |PR| image:: https://img.shields.io/github/issues-pr/Computer-Aided-Validation-Laboratory/pyvale + :target: https://github.com/Computer-Aided-Validation-Laboratory/pyvale/issues + :alt: Open GitHub Pull Requests + +.. |license| image:: https://img.shields.io/github/license/Computer-Aided-Validation-Laboratory/pyvale + :target: https://choosealicense.com/licenses/mit/ + :alt: MIT License + +|pypi| |github| |wheels| |tests| |issues| |PR| |license| + + +Pyvale aims to become an all-in-one package for sensor uncertainty quantification simulation, experimental design, sensor placement optimisation and simulation calibration/validation. Used to simulate experimental data from an input multi-physics simulation by explicitly modelling sensors with realistic uncertainties. -Useful for experimental data analysis (especially for imaging sensors such as digital image correlation and infra-red thermography), experimental design, sensor placement optimisation, testing simulation validation metrics and virtually testing digital shadows/twins. +We are actively developing dedicated tools for simulation and uncertainty quantification of imaging sensors including digital image correlation (DIC) and infra-red thermography (IRT). + +Getting Started +--------------------------------- + +.. grid:: 2 + :gutter: 3 + + .. grid-item-card:: User Guide + :link: guide_user/guide_user + :link-type: doc + :text-align: center + :shadow: lg + + :octicon:`workflow;5em` + + .. grid-item-card:: Theory Overview + :link: guide_theory/guide_theory + :link-type: doc + :text-align: center + :shadow: lg + + :octicon:`book;5em` + + .. grid-item-card:: Installation + :link: install/install + :link-type: doc + :text-align: center + :shadow: lg -**Current Release:** |release| + :octicon:`gear;5em` + + .. grid-item-card:: Examples + :link: examples/examples + :link-type: doc + :text-align: center + :shadow: lg + + :octicon:`file-code;5em` -**Useful links:** | `Source Repository `_ | `Issues `_ | `PyPI `_ | `MIT License `_ | .. toctree:: - :maxdepth: 1 - :caption: Contents: - - guide/guide - install/install - examples/examples - api_py - api_cpp - cite - -Contributors ------------- + :hidden: + + guide_user/guide_user + guide_theory/guide_theory + install/install + examples/examples + api_py + api_cpp + cite + + +Citing Pyvale +--------------- + +If you use the code in your published work, then please cite the following article: + +.. tab-set:: + + .. tab-item:: MLA + + Hirst, Joel, et al. "PYVALE: A Fast, Scalable, Open-Source 2D Digital Image Correlation + (DIC) Engine Capable of Handling Gigapixel Images." + *arXiv preprint arXiv:2601.12941* (2026). + + .. tab-item:: APA + + Hirst, J., Sibson, L., Tayeb, A., Poole, B., Sampson, M., Bielajewa, W., ... & Fletcher, L. (2026). + PYVALE: A Fast, Scalable, Open-Source 2D Digital Image Correlation (DIC) Engine + Capable of Handling Gigapixel Images. + *arXiv preprint arXiv:2601.12941*. + + .. tab-item:: Bibtex + + .. code-block:: + + @article{pyvale2026, + title={PYVALE: A Fast, Scalable, Open-Source 2D Digital Image Correlation (DIC) Engine Capable of Handling Gigapixel Images}, + author={Hirst, Joel and Sibson, Lorna and Tayeb, Adel and Poole, Ben and Sampson, Megan and Bielajewa, Wiera and Atkinson, Michael and Marsh, Alex and Spencer, Rory and Hamill, Rob and others}, + journal={arXiv preprint arXiv:2601.12941}, + year={2026} + } + + +Key Contributors +----------------- The Computer Aided Validation Team at United Kingdom Atomic Energy Authority (UKAEA): From 7be8990153bb8612b7cb6e5077885ace5210903e Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Wed, 28 Jan 2026 16:01:58 +0000 Subject: [PATCH 10/22] reshuffle of guide docs folder structure for a better naming convention. --- docs/source/guide/guide_dic.rst | 300 ---------------- .../{dev_guide => guide_dev}/dev_guide.rst | 0 .../dev_guide_customsensors.rst | 0 .../dev_guide_designspec.rst | 0 .../dev_guide_python.rst | 0 docs/source/guide_theory/guide_theory.rst | 14 + .../guide_theory_dic.rst} | 21 +- .../{guide => guide_user}/guide_blender.rst | 2 +- docs/source/guide_user/guide_dic.rst | 331 ++++++++++++++++++ .../{guide => guide_user}/guide_sensorsim.rst | 2 +- docs/source/guide_user/guide_strain.rst | 0 .../guide.rst => guide_user/guide_user.rst} | 0 12 files changed, 358 insertions(+), 312 deletions(-) delete mode 100644 docs/source/guide/guide_dic.rst rename docs/source/{dev_guide => guide_dev}/dev_guide.rst (100%) rename docs/source/{dev_guide => guide_dev}/dev_guide_customsensors.rst (100%) rename docs/source/{dev_guide => guide_dev}/dev_guide_designspec.rst (100%) rename docs/source/{dev_guide => guide_dev}/dev_guide_python.rst (100%) create mode 100644 docs/source/guide_theory/guide_theory.rst rename docs/source/{theory_guide/guide_dic_theory.rst => guide_theory/guide_theory_dic.rst} (97%) rename docs/source/{guide => guide_user}/guide_blender.rst (64%) create mode 100644 docs/source/guide_user/guide_dic.rst rename docs/source/{guide => guide_user}/guide_sensorsim.rst (99%) create mode 100644 docs/source/guide_user/guide_strain.rst rename docs/source/{guide/guide.rst => guide_user/guide_user.rst} (100%) diff --git a/docs/source/guide/guide_dic.rst b/docs/source/guide/guide_dic.rst deleted file mode 100644 index e4ddee11..00000000 --- a/docs/source/guide/guide_dic.rst +++ /dev/null @@ -1,300 +0,0 @@ - - -.. _guide_dic: - -Digital Image Correlation (DIC) Theory Overview -====================================== - -Digital Image Correlation (DIC) is a technique for measuring -deformation, displacement, and strain by analyzing a sequence of images captured -during a loading process. At its core, DIC tracks the movement of patterns/speckles/textures between images, -and from this motion, deduces how the material has deformed. - -Local Subset DIC ----------------- -In Local subset DIC images are divided into small :math:`N \times N` pixel regions which are called *subsets*. -By comparing the intensity patterns of these subsets across images, we can estimate -their displacement. The image below shows the difference/cost (where 0 is a perfect match) -for a brute force scan along the x-axis. - - -.. image:: cost.gif - :alt: Example Cost Minimization - -Typically we don't use a brute forcea approach, but instead use an **optimization algorith** that is much more computationally -efficient. The optimization tries to minimize the difference between the -reference and deformed subset by using the gradient. You can see from the -brute-force approach that there's local minima where the optimizer might get -stuck. It's therefore important to ensure that any initial guess is reasonably -close to the actual parameters that define the mapping from the subset in the -reference image to the subset in the deformed image. - -Shape Functions ---------------- -It's often the case that a subset undergoes a more complex translation than just a pure rigid translation between reference and deformed image. -To model how a subset deforms more genreally, we introduce *shape functions*. These are -mathematical mappings that describe how points inside a subset move relative to -each other. Pyvale supports three commonly used shape functions in DIC. The simplest of course is a pure *rigid* translation (two -parameters: horizontal and vertical shift). After this comes *affine* and -*quadratic* shape functions: - -.. math:: - \xi(x_i,y_i, \mathbf{p}) = - \underbrace{\begin{bmatrix} p_0 \\ p_1 \end{bmatrix}}_{\text{rigid}} - + \underbrace{\begin{bmatrix} 1+p_2 & p_3 \\ p_4 & 1+p_5 \end{bmatrix} - \begin{bmatrix} x_i \\ y_i \end{bmatrix}}_{\text{affine}} + \underbrace{\begin{bmatrix} p_6 & p_7 & p_8 \\ p_9 & p_{10} & p_{11} \end{bmatrix} - \begin{bmatrix} x_i^2 \\ x_iy_i \\ y_i^2 \end{bmatrix}}_{\text{quadratic}} - -Each higher-order shape function includes all terms from the lower-order functions: affine includes rigid terms, and quadratic includes both affine and rigid terms. - -.. image:: shape_functions_light.png - :class: only-light - :alt: Diagram (light) - - -.. image:: shape_functions_dark.png - :class: only-dark - :alt: Diagram (dark) - -Cost Functions / Correlation Criterion ---------------------------------------- -How do we decide if two subsets *match*? To do this we use what's known as a cost function, or often reffered to as a Correlation Criterion. -This is a numerical measure of similarity between the reference subset and the deformed -subset. Pyvale supports three choices - -.. math:: - \text{SSD} = \sum_i \big(f(x_{i},y_{i}) - g(x_{i},y_{i})\big)^{2} - -where :math:`f(x_{i},y_{i})` and :math:`g(x_{i},y_{i})` represent the gray-level intensity values at location :math:`(x_{i},y_{i})` in the reference and deformed images, respectively. -To reduce sensitivity to intensity scaling, the Normalized SSD (NSSD) is defined as: - -.. math:: - \text{NSSD} = \sum_i \left( \frac{f(x_{i},y_{i})}{\sqrt{\sum_{j} f(x_{j},y_{j})^{2}}} - \frac{g(x_{i},y_{i})}{\sqrt{\sum_{j} g(x_{j},y_{j})^{2}}} \right)^{2} - -Finally there's the ZNSSD, which is invariant to both additive and multiplicative intensity changes: - -.. math:: - \text{ZNSSD} = \sum_i \left( \frac{\bar{f}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{f}(x_{j},y_{j})^{2}}} - \frac{\bar{g}(x_{i},y_{i})}{\sqrt{\sum_{j} \bar{g}(x_{j},y_{j})^{2}}} \right)^{2} - -where :math:`\bar{f}(x_{i},y_{i}) = f(x_{i},y_{i}) - f_m`, and :math:`f_m` is the mean gray-level value of the subset. - -Cost Function Optimization ----------------------------- -Minimizing the value fo the cost function is requires using a optimization routine. -These algorithms start with an initial guess and refine it step by step. Convergence depends on a good -initial guess and a generally well-behaved cost surface. -Pyvale uses a **Levenberg-Marquardt** non-linear optimization routine to minimize the cost function. -The algorithm proceeds iteratively by updating the shape-function parameter -vector :math:`\mathbf{p}`. At iteration :math:`i`, the parameters are updated according to - -.. math:: - - \mathbf{p}_{i+1} - = \mathbf{p}_{i} - - \left( \mathbf{H} + \lambda\,\mathrm{diag}\!\left[\mathbf{H}\right] \right)^{-1} - \nabla C(\mathbf{p}_{i}), - -where :math:`\nabla C(\mathbf{p}_{i})` denotes the gradient of the cost function -evaluated at the current parameters. The matrix :math:`\mathbf{H}` is an -approximation to the Hessian, taken here as -:math:`\mathbf{H} \approx \mathbf{J}\mathbf{J}^{\mathsf{T}}`, with -:math:`\mathbf{J}` the Jacobian of the residuals with respect to -:math:`\mathbf{p}`. The scalar :math:`\lambda > 0` is the -Levenberg–Marquardt damping factor, which controls the balance between -gradient-descent and Gauss–Newton behaviour. - -After computing the updated parameter vector :math:`\mathbf{p}_{i+1}`, the cost -function is re-evaluated to assess the quality of the update. Based on the -resulting change in error, the damping parameter :math:`\lambda` is adjusted. -If the cost **increases**, don't update the shape function parameters and -**increase** the damping by a factor of 10. -If the cost **decreases**, the update is accepted and the damping is **reduced** by a factor of 10. -This update–evaluation–adjustment cycle is repeated until convergence criteria -based on both parameter change and cost-function reduction are satisfied. The -magnitude of the parameter update is quantified by - -.. math:: - - \text{d}p_{\text{norm}} - = \sqrt{\langle \Delta\mathbf{p}, \Delta\mathbf{p} \rangle}, - \qquad - p_{\text{norm}} - = \sqrt{\langle \mathbf{p}, \mathbf{p} \rangle}, - -where :math:`\Delta\mathbf{p} = \mathbf{p}_{i+1} - \mathbf{p}_{i}`, and -:math:`\langle \cdot,\cdot \rangle` denotes the Euclidean inner product. From -these quantities, the relative parameter-update tolerance is defined as - -.. math:: - - x_{\text{tol}} - = \frac{\text{d}p_{\text{norm}}}{p_{\text{norm}} + \varepsilon}, - -with :math:`\varepsilon` a small regularizing constant included to avoid division -by zero. Convergence in terms of the cost function is measured using - -.. math:: - - f_{\text{tol}} - = \frac{\lvert C_{i+1} - C_{i} \rvert}{\lvert C_{i} \rvert + \varepsilon}. - -Iteration terminates once both :math:`x_{\text{tol}}` and -:math:`f_{\text{tol}}` fall below user-specified thresholds, indicating that -further updates would produce only negligible changes in the parameters and the -cost function. - - -Sub-pixel Accuracy ------------------- -DIC aims for precision beyond the integer values defined by the images pixel grid. Integer-pixel -matching is a good start, but physical displacements do not perfectly map to pixel -boundaries. To capture this, we refine the measurement to *sub-pixel* -accuracy using interpolation. Instead of treating the image as a discrete -array, we approximate it as a smooth surface. This is done using **cubic B-spline -interpolation**. - -Cubic B-spline interpolation represents the interpolated function as a weighted sum of shifted B-spline basis functions: - -.. math:: - f(x,y) = \sum_{i,j} c_{i,j} \, \beta^3(x - i) \, \beta^3(y - j) - -where :math:`c_{i,j}` are B-spline coefficients and :math:`\beta^3(t)` is the cubic B-spline basis function: - -.. math:: - - \beta^3(t) = \frac{1}{6} \begin{cases} - (2 - |t|)^3 & \text{if } 1 \leq |t| < 2 \\ - 4 - 6t^2 + 3|t|^3 & \text{if } |t| < 1 \\ - 0 & \text{if } |t| \geq 2 - \end{cases} - -Prefiltering -^^^^^^^^^^^^^^^^^^ -To ensure that the B-spline passes through the original intensity values, we -can apply a filter to get the B-spline coefficients. -For a 1D row of intensity data :math:`\{f_0, f_1, \ldots, f_{N-1}\}`, the filtering has three steps. -First is to apply a normalization: - -.. math:: - c_i^{(0)} = (1-z)(1-1/z) f_i - -with pole :math:`z = \sqrt{3} - 2`. Then apply a Causal filter: - -.. math:: - c_i^{(+)} = c_i^{(0)} + z \, c_{i-1}^{(+)}, \quad i = 1, 2, \ldots, N-1 - -with an initial condition of :math:`c_0^{(+)} = c_0^{(0)}`. The final step is -to apply an anticausal filter. Starting at end of the row: - -.. math:: - c_{N-1} = \frac{z}{z^2-1} c_{N-1}^{(+)} - -and then applying: - -.. math:: - c_i = z(c_{i+1} - c_i^{(+)}), \quad i = N-2, N-3, \ldots, 0 - -This 1D filtering can be done for each row of the image to get a list of coefficients :math:`c_{i,j}^{(x)}`. It can then be applied to the colum of the result to -get a full list of coefficients :math:`c_{i,j}`. - -Evaluation -^^^^^^^^^^ -to get the intensity value at an arbitraty subpixel location :math:`f(x,y)` we -compute the local coordinates: - -.. math:: - - t_x = x - \mathrm{floor}(x), \quad t_y = y - \mathrm{floor(y)} - -then evaluate the basis functions for the local coordinates: - -.. math:: - B_0(t) &= (1-t)^3/6 \\ - B_1(t) &= (3t^3 - 6t^2 + 4)/6 \\ - B_2(t) &= (-3t^3 + 3t^2 + 3t + 1)/6 \\ - B_3(t) &= t^3/6 - -and compute the interpolated value: - -.. math:: - - f(x,y) = \sum_{k=0}^{3} \sum_{\ell=0}^{3} c_{i_x+k-1, i_y+\ell-1} \, B_k(t_x) \, B_\ell(t_y) - - -.. list-table:: - :width: 70% - :class: borderless - - * - .. image:: ./guide_preinterp.png - :width: 100% - - - .. image:: ./guide_interp.png - :width: 100% - -Reliability Guided DIC (RG-DIC) --------------------------------- -It's highly likely that some subsets will poorly correlate due to texture changes, cracks, noise, changes in lighting, or large local deformations. -Reliability‑Guided DIC (RG‑DIC) addresses this by correlating subsets in an order determined by the correlation coefficient. -After selecting and correlating at aseed location, RG‑DIC uses the results to provide initial guesses for the correlation of neighbouring subsets. -The algorithm then expands outward in a front‑propagation style. -Mathematical details can be found `here `_. - -.. image:: guide_rgdic.gif - :width: 80% - :align: center - -Strain Calculations & Formulations ------------------------------------ -The in-plane strain components can be calculated using the spatial derivatives of the displacement field to capture local changes in geometry. -The 2D deformation gradient matrix, :math:`\mathbf{F}`, is given by: - -.. math:: - - \mathbf{F} = - \begin{bmatrix} - 1+\dfrac{\partial u_x}{\partial x} & \dfrac{\partial u_x}{\partial y} \\ - \dfrac{\partial u_y}{\partial x} & 1+\dfrac{\partial u_y}{\partial y} - \end{bmatrix} - = \mathbf{I} + \nabla \boldsymbol{u}, - \qquad - \boldsymbol{u} = - \begin{bmatrix} - u_x \\ u_y - \end{bmatrix}. - -To calculate the partial derivatives above, we compute the gradient over a square window containing :math:`N \times N` displacement data points from the DIC calculation. -Because we are using displacement values from DIC, the strain window is dependent on the subset-step, :math:`s`, and subset-size, :math:`w`. -These quantities, along with the size of the strain window, form what is typically referred to as the Virtual Strain Gauge, :math:`VSG`: - -.. math:: - - VSG = (\mathrm{N} - 1)s + w - -Due to the noise in DIC measurements, smoothing is typically applied over the strain window. -We supports bilinear and biquadratic smoothing over the strain window elements. -The polynomial approximation is given by: - -.. math:: - - \boldsymbol{u}(x,y) = \mathbf{P}(x,y)\,\mathbf{c}, - -where :math:`\boldsymbol{u} = [\,u_x\;u_y\,]^{T}`, :math:`\mathbf{P}(x,y)` is a row vector of basis terms, and :math:`\mathbf{c}` is a column vector of coefficients. The polynomial basis is: - -.. math:: - - \mathbf{P}(x,y) = - \begin{cases} - [1, x, y] & \text{bilinear}, \\ - [1, x, y, x^2, y^2, x^2 y, x y^2, x^2 y^2] & \text{biquadratic} - \end{cases} - -The coefficients are obtained by solving a linear least-squares problem, since the displacement field is linearly parameterized in the unknown coefficients. -Once the polynomial coefficients have been obtained, the deformation gradient tensor and strain can be calculated. We currently support the following strain tensor formulations: - -- ``strain_formulation="HENCKY"``, *Hencky (logarithmic)*: :math:`\boldsymbol{\varepsilon}=\ln(\sqrt{\mathbf{F}^\mathsf{T}\mathbf{F}})` -- ``strain_formulation="GREEN"``, *Green–Lagrange*: :math:`\boldsymbol{\varepsilon}=\tfrac{1}{2}\left(\mathbf{F}^\mathsf{T}\mathbf{F}-\mathbf{I}\right)` -- ``strain_formulation="ALMANSI"``, *Euler–Almansi*: :math:`\boldsymbol{\varepsilon}=\tfrac{1}{2}\left(\mathbf{I}-(\mathbf{F}\mathbf{F}^\mathsf{T})^{-1}\right)` -- ``strain_formulation="BIOT_LAGRANGE"``, *Biot (right / Lagrangian)*: :math:`\boldsymbol{\varepsilon}=\sqrt{\mathbf{F}^\mathsf{T}\mathbf{F}}-\mathbf{I}` -- ``strain_formulation="BOIT_EULER"``, *Biot (left / Eulerian)*: :math:`\boldsymbol{\varepsilon}=\sqrt{\mathbf{F}\mathbf{F}^\mathsf{T}}-\mathbf{I}` - -where :math:`\mathbf{I}` is the :math:`2 \times 2` identity matrix. diff --git a/docs/source/dev_guide/dev_guide.rst b/docs/source/guide_dev/dev_guide.rst similarity index 100% rename from docs/source/dev_guide/dev_guide.rst rename to docs/source/guide_dev/dev_guide.rst diff --git a/docs/source/dev_guide/dev_guide_customsensors.rst b/docs/source/guide_dev/dev_guide_customsensors.rst similarity index 100% rename from docs/source/dev_guide/dev_guide_customsensors.rst rename to docs/source/guide_dev/dev_guide_customsensors.rst diff --git a/docs/source/dev_guide/dev_guide_designspec.rst b/docs/source/guide_dev/dev_guide_designspec.rst similarity index 100% rename from docs/source/dev_guide/dev_guide_designspec.rst rename to docs/source/guide_dev/dev_guide_designspec.rst diff --git a/docs/source/dev_guide/dev_guide_python.rst b/docs/source/guide_dev/dev_guide_python.rst similarity index 100% rename from docs/source/dev_guide/dev_guide_python.rst rename to docs/source/guide_dev/dev_guide_python.rst diff --git a/docs/source/guide_theory/guide_theory.rst b/docs/source/guide_theory/guide_theory.rst new file mode 100644 index 00000000..c4777761 --- /dev/null +++ b/docs/source/guide_theory/guide_theory.rst @@ -0,0 +1,14 @@ +.. _guide_overview: + +Theory Guide +================================= + +Module user guides +------------------ + +.. toctree:: + :maxdepth: 1 + + guide_theory_dic.rst + + diff --git a/docs/source/theory_guide/guide_dic_theory.rst b/docs/source/guide_theory/guide_theory_dic.rst similarity index 97% rename from docs/source/theory_guide/guide_dic_theory.rst rename to docs/source/guide_theory/guide_theory_dic.rst index 4fe3f765..6cebd474 100644 --- a/docs/source/theory_guide/guide_dic_theory.rst +++ b/docs/source/guide_theory/guide_theory_dic.rst @@ -2,7 +2,7 @@ .. _guide_dic: -DIC Theory Summary +DIC Theory Overview ====================================== Digital Image Correlation (DIC) is a technique for measuring @@ -18,9 +18,10 @@ their displacement. The image below shows the difference/cost (where 0 is a perf for a brute force scan along the x-axis. -.. image:: cost.gif +.. figure:: guide_theory_dic_cost.gif :alt: Example Cost Minimization + Typically we don't use a brute forcea approach, but instead use an **optimization algorith** that is much more computationally efficient. The optimization tries to minimize the difference between the reference and deformed subset by using the gradient. You can see from the @@ -47,12 +48,11 @@ parameters: horizontal and vertical shift). After this comes *affine* and Each higher-order shape function includes all terms from the lower-order functions: affine includes rigid terms, and quadratic includes both affine and rigid terms. -.. image:: shape_functions_light.png +.. image:: guide_theory_dic_shape_functions_light.png :class: only-light :alt: Diagram (light) - -.. image:: shape_functions_dark.png +.. image:: guide_theory_dic_shape_functions_dark.png :class: only-dark :alt: Diagram (dark) @@ -64,12 +64,13 @@ subset. **Pyvale supports three choices:** SSD ^^^^ + .. math:: C_{\text{SSD}} = \sum_i \big(f(x_{i},y_{i}) - g(x_{i},y_{i})\big)^{2} - NSSD ^^^^^ + .. math:: C_{\text{NSSD}} = \sum_i \left( \frac{f(x_{i},y_{i})}{\sqrt{\sum_{j} f(x_{j},y_{j})^{2}}} - \frac{g(x_{i},y_{i})}{\sqrt{\sum_{j} g(x_{j},y_{j})^{2}}} \right)^{2} @@ -233,10 +234,10 @@ and compute the interpolated value: :width: 85% :class: borderless - * - .. image:: ./guide_preinterp.png + * - .. figure:: guide_theory_dic_preinterp.png :width: 100% - - - .. image:: ./guide_interp.png + + - .. figure:: guide_theory_dic_interp.png :width: 100% Reliability Guided DIC (RG-DIC) @@ -257,7 +258,7 @@ The algorithm proceeds as follows: #. The algorithm then expands outward in a front‑propagation style until all subsets have been computed. -.. image:: guide_rgdic.gif +.. figure:: guide_theory_dic_rgdic.gif :width: 80% :align: center diff --git a/docs/source/guide/guide_blender.rst b/docs/source/guide_user/guide_blender.rst similarity index 64% rename from docs/source/guide/guide_blender.rst rename to docs/source/guide_user/guide_blender.rst index f1e04419..07f98802 100644 --- a/docs/source/guide/guide_blender.rst +++ b/docs/source/guide_user/guide_blender.rst @@ -1,4 +1,4 @@ .. _guide_blender: -Blender Guide +Blender User Guide ============= diff --git a/docs/source/guide_user/guide_dic.rst b/docs/source/guide_user/guide_dic.rst new file mode 100644 index 00000000..b968276f --- /dev/null +++ b/docs/source/guide_user/guide_dic.rst @@ -0,0 +1,331 @@ + + +.. _guide_dic: + +DIC User Guide +============== + +This page should be conisered more of a guide to the key interactions and useful +tips and tricks for getting good results in a reasonable amount of time. +A high level overview of the Pyvale '*workflow*' Can be found in the flowchart below. + + +The Pyvale workflow +------------------ + + +Importing the DIC modules +^^^^^^^^^^^^^^^^^^^^^^^^^^ + +After installing Pyvale, you'll need to importing the relevent modules before +going any further. We like to import the modules in the following way: + +.. code-block:: Python + + import pyvale.dic as dic + import pyvale.strain as strain + + + +.. figure:: guide_dic_flowchart.png + :alt: DIC flowchart + :width: 60% + +For any DIC calculation the user must first specify the **region of interest +(ROI)** for their calculation. You can either use Pyvale for this (see an +in-depth example :doc:`here <../examples/dic/ex1_region_of_interest.rst>`), +or, you can create it using Numpy. Simple examples can be found below: + +.. tab-set:: + + .. tab-item:: Interactive ROI Pyvale + + .. code-block:: python + + roi = dic.RegionOfInterest(ref_image="./ref_img.tiff") + roi.interactive_selection(subset_size=31) # ROI GUI will launch + + dic.calculate_2d( + ..., + roi=roi.mask, + seed=roi.seed, + ..., + ) + + .. tab-item:: Programmatic ROI Pyvale + + .. code-block:: Python + + roi = dic.RegionOfInterest(ref_image="./ref_img.tiff") # set reference image + roi.rect_boundary(left=100,right=100,bottom=100,top=100) # exclude a 100 pixel boundary + + dic.calculate_2d( + ..., + roi=roi.mask, + seed=[500, 500], # seed at centre of image + ..., + ) + + .. tab-item:: Programmatic ROI Numpy + + .. code-block:: Python + + arr = np.zeros((1000, 1000), dtype=bool) # image is 1000x1000 + arr[100:900, 100:900] = True # Exclude a 100 pixel boundary + + dic.calculate_2d( + ..., + roi=arr, + seed=[500, 500], # seed at centre of image + ..., + ) + +Performing a correlation +^^^^^^^^^^^^^^^^^^^^^^^^ + +The next step is to perform a correlation with the dic.calculate_2d function. +There are a few arguments that **must** be passed. These are the +rference and deformed images, the roi mask and seed, as well as the subset size +and subset step: + +.. code-block:: Python + + dic.calculate_2d( + reference=ref_image, # Can be str | pathlib.Path | np.ndarray + deformed=def_image, # Can be str | pathlib.Path | np.ndarray + roi_mask=roi.mask, # np.ndarray + seed=roi.seed, # pair of intergers. Allowed as list[int] | list[np.int32] | np.ndarray + subset_size=31, # must be an odd number + subset_step=15 + ) + +In the simplest above case, all other arguments will have default values. See +the API documentation for this function for more details. + +Understanding Output files +^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +The next step is to understand the output. By default the results will be saved +in the users current working directory in human readable .CSV format with a filename prefix of +:code:`dic_results_` followed by the name of the deformed image. The output will have +the following columns: + +- **subset_x**: + X-coordinate of the center of the subset (or window) used in displacement tracking or correlation analysis. + +- **subset_y**: + Y-coordinate of the center of the subset used in displacement tracking or correlation analysis. + +- **displacement_u**: + Displacement in the X-direction (horizontal) calculated for the subset. + +- **displacement_v**: + Displacement in the Y-direction (vertical) calculated for the subset. + +- **displacement_mag**: + Magnitude of the displacement vector. + +- **converged**: + Boolean flag indicating whether the displacement calculation algorithm converged for this subset. + +- **cost**: + The final value of the cost function used during the displacement calculation. + The reported value is always given as the **ZNCC** no matter if the SSD, NSSD or ZNSSD has been chosen as the correlation function. + The ZNCC is calculated with the final parameter values from the last optimizer iteration. + +- **ftol**: + The final value of the function tolerance, a measure of how much the cost function changed between iterations at convergence. + +- **xtol**: + The final value of the solution tolerance, a measure of how much the solution (displacement) changed between iterations at convergence. + +- **num_iterations**: + The number of iterations the algorithm took to converge for this subset. + +You can alter the path, delimiter and filename prefix of the output file using the arguments +:code:`output_basepath`, :code:`output_delimiter` and :code:`output_prefix`. You +can also opt to save results in binary format. This can be done by setting +:code:`output_binary=True`. + +Importing DIC Results +^^^^^^^^^^^^^^^^^^^^^ + +Once you have finished your correlation, you can proceed with whatever +visualization and post-processing tools/software you'd like. Alternatively, +Pyvale provides the option to read the data in using a single command into a +single dataclass that can be used for easy plotting. Importing data is done with +the :code:`dic.import_2d`` command. The below highlights how to import data and +create a simple plot of the displacement + +.. :code-block:: Python + + import matplotlib.pyplot as plt + + dic_data = dic.import_2d(data="./dic_results_*") + + # plot of vertical displacement for first deformation image. + plt.pcolor(dic_data.ss_x, + dic_data.ss_y, + dic_data.u_y[0]) # [image, y, x] + +The import will find all files in the current working directory with that +filname prefix. If you have changed :code:`output_delimiter` prior to the +correlation you will also need to specify the delimiter when importing the data. + +Strain Calculation +^^^^^^^^^^^^^^^^^^^ + +The previous step is optional if you are wanting to perform a strain +calculation. If you don't need to do any kind of visualization or analysis, you +can import DIC data and calculate strains using + + +.. tab-set:: + + .. tab-item:: Embedded DIC data Import + + .. code-block:: python + + strain.calculate_2d(data="./dic_results_*", + input_delimiter=",", + window_size=5, + window_element=9 + ) + + .. tab-item:: Prior DIC data Import + + .. code-block:: Python + + dic_data = dic.import_2d(data="./dic_results_*", delimiter=",") + + strain.calculate_2d( + data=dic_data, + window_size=5, + window_element=9 + ) + + +Importing DIC Data +^^^^^^^^^^^^^^^^^^^^ + + + +DIC Methods +------------ + + + +Multiwindow RG-DIC +^^^^^^^^^^^^^^^^^^^ + +Incremental RG-DIC +^^^^^^^^^^^^^^^^^^^ + +Image Scan +^^^^^^^^^^^^ + +While not generally recommended for obtaining accurate results. This is useful + + +DIC with Large Images/Displacements +------------------------------- + +Setting a Maximum Displacement +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Typically if you are performing DIC with large displacements that will exceed +well above 100 pixels, then there will be a few arguments that you will want to +consider tweaking that might help to improve your results. + +Firstly, it's important to chose a max displacement value that is comfortably +larger than your estimate for the final maximum displacement. For example, if +you *think* your max displacement is roughly 300 pixels, then trying a value of +512 (powers of two help with FFT efficiency) would be a sensible option. This +can be done with: + +.. code-block:: Python + :emphasize-lines: 3 + + dic.calculate_2d( + ..., + max_displacement=512, + ..., + ) + +Pyvale will always round the `max_displacement` value up to the next greatest +power of 2. So if you select 400, it would still round to 512. Again, this is to +benefit from the efficiencies of FFTs. + +Enabling Outlier Removal in Multiwindow FFTCC Initialization +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +The FFTCC multiwindowing approach involves seeding smaller windows with the +rigid estimates from neighbouring points in the previous larger window. This can +sometimes be problematic when multiple windows are involved as incorrect +estimates can be propogated through the smaller windows, leading to a wildly +incorrect initial rigid estimate for the displacements. + +Pyvale has a Median Absolute Deviation (MAD) outlier removal +flag that, when enabled, will kill likely incorrect spikes in the rigid +estimates or each FFTCC window size. This can be enabled with the following +arguments when calling the DIC engine: + +.. code-block:: Python + :emphasize-lines: 3-4 + + dic.calculate_2d( + ..., + fft_mad=True, + fft_mad_scale=3.0, # <-- Default value + ... + ) + +The MAD outlier removal works in the following way: + +#. Looks at nearby subsets in a 2D neighborhood +#. Computes the median of their shifts +#. Computes the MAD (median absolute deviation) +#. If the current value deviates **too much** from the neighborhood, + it replaces it with the local median. + +**too much** is defined by the `mad_scale` argument. A value is deemed as +replaceable only if :math:`| x − \mathrm{median}| > \mathrm{fft\_mad\_scale} \times \mathrm{MAD}`, +A larger `fft_mad_scale` is therefore more *tolerant*, while a smaller value kills larger deviations. + + +Sequential Image Loading +^^^^^^^^^^^^^^^^^^^^^^^^ + +When working with a series of large images, RAM usage starts to become an +important consideration. In it's current form, Pyvale will read **all** images +in the workflow when it starts. This isn't a huge problem for typical DIC +workflows where images are typically 10s of MBs, but will start to cause crashes +with high resolution images (100s MBs.). To get around this we'd recommend +**placing the DIC engine call in a loop over the images**. An example of which can be found +below: + +.. code-block:: Python + + ref_img = "ref_00.tiff" + def_imgs = ["def_00.tiff", "def_01.tiff", "def_02.tiff", ...] + + for def_img in def_imgs: + dic.calculate_2d(reference=ref_img, + deformed=def_img, + ...) + +There are plans to change this in later pyvale versions so that images +are read sequentially and thus avoiding the need for any loops. Please keep an +eye on the documentation for any future changes. + + +Selecting a Thread Count +------------------------------- + +Understanding DIC Output +------------------------------- + +Incremental DIC +----------------- + +This feature is a Work in Progress.. diff --git a/docs/source/guide/guide_sensorsim.rst b/docs/source/guide_user/guide_sensorsim.rst similarity index 99% rename from docs/source/guide/guide_sensorsim.rst rename to docs/source/guide_user/guide_sensorsim.rst index 9a513f51..22e95b5a 100644 --- a/docs/source/guide/guide_sensorsim.rst +++ b/docs/source/guide_user/guide_sensorsim.rst @@ -1,6 +1,6 @@ .. _guide_sensorsim: -Sensor Simulation Guide +Sensor Simulation User Guide ======================= The sensor simulation module is pyvale is used for modelling sensors including sources of uncertainty with a particular focus on systematic an Type B measurement errors. Systematic and Type B measurement errors are the most difficult to characterise in practice and often contribute the most to the overall uncertainty of a given measurement. diff --git a/docs/source/guide_user/guide_strain.rst b/docs/source/guide_user/guide_strain.rst new file mode 100644 index 00000000..e69de29b diff --git a/docs/source/guide/guide.rst b/docs/source/guide_user/guide_user.rst similarity index 100% rename from docs/source/guide/guide.rst rename to docs/source/guide_user/guide_user.rst From ab533500dd7da182fdb2a90435bef080a9416125 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Fri, 30 Jan 2026 11:03:14 +0000 Subject: [PATCH 11/22] fixing documentation errors. --- src/pyvale/blender/blenderlightdata.py | 33 +++++++++- src/pyvale/dataset/dataset.py | 63 +++++++++++-------- src/pyvale/dic/dic2d.py | 2 +- src/pyvale/dic/dic2dconv.py | 6 -- src/pyvale/dic/dicdataimport.py | 1 - src/pyvale/dic/dicregionofinterest.py | 36 ++++++++--- src/pyvale/dic/dicresults.py | 49 +++++++-------- .../examples/extsensorsim/ex1_byosimdata.py | 2 +- src/pyvale/mooseherder/simsaver.py | 1 + src/pyvale/sensorsim/camerasensor.py | 14 ++--- src/pyvale/sensorsim/fieldconverter.py | 1 + src/pyvale/sensorsim/visualsimplotter.py | 12 ++-- src/pyvale/strain/strain.py | 2 +- src/pyvale/strain/strainresults.py | 13 ++-- 14 files changed, 143 insertions(+), 92 deletions(-) delete mode 100644 src/pyvale/dic/dic2dconv.py diff --git a/src/pyvale/blender/blenderlightdata.py b/src/pyvale/blender/blenderlightdata.py index 7c11ff83..a9376ba4 100644 --- a/src/pyvale/blender/blenderlightdata.py +++ b/src/pyvale/blender/blenderlightdata.py @@ -11,6 +11,21 @@ #TODO: docstrings class LightType(Enum): + """ + Enumeration of available light types in Blender. + + Attributes + ---------- + POINT : str + Omnidirectional point light source + SUN : str + Directional sunlight (parallel rays) + SPOT : str + Cone-shaped spotlight + AREA : str + Area light with defined shape + """ + POINT = 'POINT' SUN = 'SUN' SPOT = 'SPOT' @@ -18,9 +33,25 @@ class LightType(Enum): @dataclass(slots=True) class LightData(): + """ + Configuration data for a light source in Blender. + + This dataclass stores the position, orientation, intensity, and type + information for scene lighting. + """ + pos_world: np.ndarray + """Position of the light in world coordinates (x, y, z)""" + rot_world: Rotation - energy: int # NOTE: In Watts + """Rotation of the light in world space (scipy Rotation object)""" + + energy: int + """Light intensity in Watts""" + type: LightType = LightType.POINT + """Type of light source (default: POINT)""" + shadow_soft_size: float = 1.5 + """Size of the light for soft shadow calculation (default: 1.5)""" diff --git a/src/pyvale/dataset/dataset.py b/src/pyvale/dataset/dataset.py index da050ec8..60eec90b 100644 --- a/src/pyvale/dataset/dataset.py +++ b/src/pyvale/dataset/dataset.py @@ -156,7 +156,7 @@ def thermal_2d_path() -> Path: Returns ------- Path - Path to the exodus (*.e) output file for this simulation case. + Path to the exodus (``*.e``) output file for this simulation case. """ return Path(files("pyvale.data").joinpath("case18_out.e")) @@ -179,7 +179,7 @@ def thermal_3d_path() -> Path: Returns ------- Path - Path to the exodus (*.e) output file for this simulation case. + Path to the exodus (``*.e``) output file for this simulation case. """ return Path(files("pyvale.data").joinpath("case16_out.e")) @@ -198,7 +198,7 @@ def mechanical_2d_path() -> Path: Returns ------- Path - Path to the exodus (*.e) output file for this simulation case. + Path to the exodus (``*.e``) output file for this simulation case. """ return Path(files("pyvale.data").joinpath("case17_out.e")) @@ -218,7 +218,7 @@ def thermomechanical_2d_path() -> Path: Returns ------- Path - Path to the exodus (*.e) output file for this simulation case. + Path to the exodus (``*.e``) output file for this simulation case. """ return Path(files("pyvale.data").joinpath("case18_out.e")) @@ -239,7 +239,7 @@ def thermomechanical_3d_path() -> Path: Returns ------- Path - Path to the exodus (*.e) output file for this simulation case. + Path to the exodus (``*.e``) output file for this simulation case. """ return Path(files("pyvale.data").joinpath("case16_out.e")) @@ -262,7 +262,7 @@ def thermomechanical_2d_experiment_paths() -> list[Path]: Returns ------- list[Path] - Paths to the exodus (*.e) output files for this simulated experiment. + Paths to the exodus (``*.e``) output files for this simulated experiment. """ return [Path(files("pyvale.data").joinpath("case18_out.e")), Path(files("pyvale.data").joinpath("case18_d_out.e"))] @@ -287,7 +287,7 @@ def thermomechanical_3d_experiment_paths() -> list[Path]: Returns ------- list[Path] - Paths to the exodus (*.e) output files for this simulated experiment. + Paths to the exodus (``*.e``) output files for this simulated experiment. """ return [Path(files("pyvale.data").joinpath("case16_out.e")), @@ -304,7 +304,7 @@ def render_mechanical_3d_path() -> Path: Returns ------- Path - Path to the exodus (*.e) output file for this simulation case. + Path to the exodus (``*.e``) output file for this simulation case. """ return Path(files("pyvale.data").joinpath("case26_out.e")) @@ -348,14 +348,15 @@ def element_case_output_path(elem_type: EElemTest) -> Path: Returns ------- Path - Path to the exodus (*.e) output file for this simulation case. + Path to the exodus (``*.e``) output file for this simulation case. """ return Path(files("pyvale.data") .joinpath(f"case00_{elem_type.value}_out.e")) def dic_plate_with_hole_ref() -> Path: - """Path to the reference image for the plate with hole example. + """ + Path to the reference image for the plate with hole example. 1040x1540 image in .tiff format. Parameters @@ -366,14 +367,15 @@ def dic_plate_with_hole_ref() -> Path: Returns ------- Path - Path to the reference image (*.tiff). + Path to the reference image (``.tiff``). """ return Path(files("pyvale.data") .joinpath("plate_hole_ref0000.tiff")) def dic_plate_with_hole_def() -> Path: - """Path to the deformed images for the plate with hole example. + """ + Path to the deformed images for the plate with hole example. 1040x1540 image in .tiff format. Parameters @@ -384,14 +386,15 @@ def dic_plate_with_hole_def() -> Path: Returns ------- Path - Path to the reference image (*.tiff). + Path to the reference image (``.tiff``). """ return Path(files("pyvale.data") .joinpath("plate_hole_def*.tiff")) def dic_plate_rigid_ref() -> Path: - """Path to the reference image for the rigid deformation example. + """ + Path to the reference image for the rigid deformation example. 1040x1540 image in .tiff format. Parameters @@ -402,79 +405,85 @@ def dic_plate_rigid_ref() -> Path: Returns ------- Path - Path to the reference image (*.tiff). + Path to the reference image (``.tiff``). """ return Path(files("pyvale.data") .joinpath("plate_rigid_ref0000.tiff")) def dic_plate_rigid_def() -> Path: - """Path to the rigid deformation example images. + """ + Path to the rigid deformation example images. 1040x1540 image in .tiff format. Returns ------- Path - Path to the deformation images (*.tiff). + Path to the deformation images (``.tiff``). """ return Path(files("pyvale.data") .joinpath("plate_rigid_def0*.tiff")) def dic_plate_rigid_def_25px() -> Path: - """Path to the 25px rigid deformation image. + """ + Path to the 25px rigid deformation image. 1040x1540 image in .tiff format. Returns ------- Path - Path to the 25 px deformed image (*.tiff). + Path to the 25 px deformed image (``.tiff``). """ return Path(files("pyvale.data").joinpath("plate_rigid_def_25px.tiff")) def dic_plate_rigid_def_50px() -> Path: - """Path to the 50px rigid deformation image. + """ + Path to the 50px rigid deformation image. 1040x1540 image in .tiff format. Returns ------- Path - Path to the 50px deformed image (*.tiff). + Path to the 50px deformed image (``.tiff``). """ return Path(files("pyvale.data").joinpath("plate_rigid_def_50px.tiff")) def dic_challenge_ref() -> Path: - """Path to the reference images for the 2D DIC challenge. + """ + Path to the reference images for the 2D DIC challenge. Returns ------- Path - Path to the reference image (*.tiff). + Path to the reference image (``.tiff``). """ return Path(files("pyvale.data") .joinpath("DIC_Challenge_Star_Noise_Ref.tiff")) def dic_challenge_def() -> Path: - """Path to the reference images for the 2D DIC challenge. + """ + Path to the reference images for the 2D DIC challenge. Returns ------- Path - Path to the deformed image (*.tiff). + Path to the deformed image (``.tiff``). """ return Path(files("pyvale.data") .joinpath("DIC_Challenge_Star_Noise_Def.tiff")) def cal_target() -> Path: - """Path to example calibration target. + """ + Path to example calibration target. Returns ------- Path - Path to the image (*.tiff). + Path to the image (``.tiff``). """ return Path(files("pyvale.data") .joinpath("cal_target.tiff")) diff --git a/src/pyvale/dic/dic2d.py b/src/pyvale/dic/dic2d.py index 8800a869..5e28c211 100644 --- a/src/pyvale/dic/dic2d.py +++ b/src/pyvale/dic/dic2d.py @@ -107,7 +107,7 @@ def calculate_2d(reference: np.ndarray | str | Path, output_binary : bool, optional Whether to write output in binary format (default: False). output_prefix : str, optional - Prefix for all output files (default: "dic_results_"). results will be + Prefix for all output files (default: :code:`dic_results_`). results will be named with output_prefix + original filename. THe extension will be changed to ".csv" or ".dic2d" depending on whether outputting as a binary. output_delimiter : str, optional diff --git a/src/pyvale/dic/dic2dconv.py b/src/pyvale/dic/dic2dconv.py deleted file mode 100644 index cb15b111..00000000 --- a/src/pyvale/dic/dic2dconv.py +++ /dev/null @@ -1,6 +0,0 @@ -# ================================================================================ -# pyvale: the python validation engine -# License: MIT -# Copyright (C) 2025 The Computer Aided Validation Team -# ================================================================================ - diff --git a/src/pyvale/dic/dicdataimport.py b/src/pyvale/dic/dicdataimport.py index fe6ec3ef..5563fc2c 100644 --- a/src/pyvale/dic/dicdataimport.py +++ b/src/pyvale/dic/dicdataimport.py @@ -368,7 +368,6 @@ def to_grid(data, shape, ss_x_ref, ss_y_ref, x_unique, y_unique): Maps values using reference subset coordinates (ss_x_ref, ss_y_ref). Parameters - ol ---------- data : np.ndarray Array of shape (n_frames, n_points) to be reshaped into (n_frames, height, width). diff --git a/src/pyvale/dic/dicregionofinterest.py b/src/pyvale/dic/dicregionofinterest.py index bd8fb48c..078ab3e5 100644 --- a/src/pyvale/dic/dicregionofinterest.py +++ b/src/pyvale/dic/dicregionofinterest.py @@ -893,15 +893,37 @@ def rect_boundary(self, left: int, right: int, top: int, bottom: int) -> None: self.__roi_selected = True def rect_region(self, x: int, y: int, size_x: int, size_y: int ) -> None: + """ + Select a rectangular region of interest (ROI) in the reference image. - top = max(0, y) - bottom = min(self.ref_image.shape[0],y+size_y) - left = max(0, x) - right = min(self.ref_image.shape[1],x+size_x) + The rectangle is defined by its top-left corner and size. The region is + automatically clipped to the image bounds. The selected area is marked + in the internal mask and flags the ROI as selected. - # Apply the mask in the subset region - self.mask[top:bottom, left:right] = 255 - self.__roi_selected = True + Parameters + ---------- + x : int + X-coordinate (column index) of the top-left corner of the rectangle. + y : int + Y-coordinate (row index) of the top-left corner of the rectangle. + size_x : int + Width of the rectangular region in pixels. + size_y : int + Height of the rectangular region in pixels. + + Returns + ------- + None + """ + + top = max(0, y) + bottom = min(self.ref_image.shape[0],y+size_y) + left = max(0, x) + right = min(self.ref_image.shape[1],x+size_x) + + # Apply the mask in the subset region + self.mask[top:bottom, left:right] = 255 + self.__roi_selected = True diff --git a/src/pyvale/dic/dicresults.py b/src/pyvale/dic/dicresults.py index 3746b5e6..021c5fbd 100644 --- a/src/pyvale/dic/dicresults.py +++ b/src/pyvale/dic/dicresults.py @@ -15,44 +15,39 @@ class Results: This dataclass stores the displacements, convergence info, and correlation data associated with a DIC computation. - - Attributes - ---------- - ss_x : np.ndarray - The x-coordinates of the subset centers (in pixels). shape=(img_num,y,x) - ss_y : np.ndarray - The y-coordinates of the subset centers (in pixels). shape=(img_num,y,x) - u : np.ndarray - Horizontal displacements at each subset location. shape=(img_num,y,x) - v : np.ndarray - Vertical displacements at each subset location. shape=(img_num,y,x) - mag : np.ndarray - Displacement magnitude at each subset location, typically computed as sqrt(u^2 + v^2). shape=(img_num,y,x) - converged : np.ndarray - boolean value for whether the subset has converged or not. shape=(img_num,y,x) - cost : np.ndarray - Final cost or residual value from the correlation optimization (e.g., ZNSSD). shape=(img_num,y,x) - ftol : np.ndarray - Final `ftol` value from the optimization routine, indicating function tolerance. shape=(img_num,y,x) - xtol : np.ndarray - Final `xtol` value from the optimization routine, indicating solution tolerance. shape=(img_num,y,x) - niter : np.ndarray - Number of iterations taken to converge for each subset point. shape=(img_num,y,x) - shape_params : np.ndarray | None - Optional shape parameters if output during DIC calculation (e.g., affine, rigid). shape=(img_num,y,x) - filenames : list[str] - name of DIC result files that have been found """ ss_x: np.ndarray + """The x-coordinates of the subset centers (in pixels). shape=(img_num,y,x)""" ss_y: np.ndarray + """The y-coordinates of the subset centers (in pixels). shape=(img_num,y,x)""" + u: np.ndarray + """Horizontal displacements at each subset location. shape=(img_num,y,x)""" + v: np.ndarray + """Vertical displacements at each subset location. shape=(img_num,y,x)""" + mag: np.ndarray + """Displacement magnitude at each subset location, typically computed as sqrt(u^2 + v^2). shape=(img_num,y,x)""" + converged: np.ndarray + """boolean value for whether the subset has converged or not. shape=(img_num,y,x)""" + cost: np.ndarray + """Final cost or residual value from the correlation optimization (e.g., ZNSSD). shape=(img_num,y,x)""" + ftol: np.ndarray + """Final `ftol` value from the optimization routine, indicating function tolerance. shape=(img_num,y,x)""" + xtol: np.ndarray + """Final `xtol` value from the optimization routine, indicating solution tolerance. shape=(img_num,y,x)""" + niter: np.ndarray + """Number of iterations taken to converge for each subset point. shape=(img_num,y,x)""" + shape_params: np.ndarray + """Optional shape parameters if output during DIC calculation (e.g., affine, rigid). shape=(img_num,y,x)""" + filenames: list[str] + """name of DIC result files that have been found""" diff --git a/src/pyvale/examples/extsensorsim/ex1_byosimdata.py b/src/pyvale/examples/extsensorsim/ex1_byosimdata.py index 327ce709..531b497b 100644 --- a/src/pyvale/examples/extsensorsim/ex1_byosimdata.py +++ b/src/pyvale/examples/extsensorsim/ex1_byosimdata.py @@ -81,7 +81,7 @@ # virtual sensors but we will load it here to demonstrate mesh-based sensors. In # this case each meshed object in the simulation has a connectivity table # labelled "connectX" where X is an integer specifying the unique mesh in the -# simulation. The "hex20_connect1.csv" has the shape 20 by number of elements +# simulation. The "hex20_connect1.csv" has the shape 20 by number of elements # in the mesh as we are using 20 node hexahedral elements. # # We can also see the field files which are labelled "hex20_node_field_*" with diff --git a/src/pyvale/mooseherder/simsaver.py b/src/pyvale/mooseherder/simsaver.py index 0f344bd2..bede30d8 100644 --- a/src/pyvale/mooseherder/simsaver.py +++ b/src/pyvale/mooseherder/simsaver.py @@ -70,6 +70,7 @@ def save_array(save_file: Path, class ESaveFieldOpt(enum.Enum): """Enumeration specifying how to save physics fields as: + - 'BY_TIME': One array per time step where the first dimension is the nodal coordinates and the second dimension is the field component. - 'BY_FIELD': A single array per nodal field where the first dimension is diff --git a/src/pyvale/sensorsim/camerasensor.py b/src/pyvale/sensorsim/camerasensor.py index a676785f..8063dcb5 100644 --- a/src/pyvale/sensorsim/camerasensor.py +++ b/src/pyvale/sensorsim/camerasensor.py @@ -9,13 +9,13 @@ """ import numpy as np -from pyavle.sensorsim.field import IField -from pyavle.sensorsim.sensorarray import ISensorArray -from pyavle.sensorsim.errorintegrator import ErrIntegrator -from pyavle.sensorsim.sensordescriptor import SensorDescriptor -from pyavle.sensorsim.fieldsampler import sample_field_with_sensor_data -from pyavle.sensorsim.cameradata2d import CameraData2D -from pyavle.sensorsim.cameratools import CameraTools +from pyvale.sensorsim.field import IField +from pyvale.sensorsim.sensorarray import ISensorArray +from pyvale.sensorsim.errorintegrator import ErrIntegrator +from pyvale.sensorsim.sensordescriptor import SensorDescriptor +from pyvale.sensorsim.fieldsampler import sample_field_with_sensor_data +from pyvale.sensorsim.cameradata2d import CameraData2D +from pyvale.sensorsim.cameratools import CameraTools diff --git a/src/pyvale/sensorsim/fieldconverter.py b/src/pyvale/sensorsim/fieldconverter.py index 801df664..28ec0084 100644 --- a/src/pyvale/sensorsim/fieldconverter.py +++ b/src/pyvale/sensorsim/fieldconverter.py @@ -137,6 +137,7 @@ def extract_surf_mesh(sim_data: mh.SimData) -> mh.SimData: """Extracts a surface mesh from a 3D simulation dataclass. Useful for limiting the memory required for analysing sensors that only measure surface fields. This function currently supports: + - A single connectivity table - Higher order retrahedral and hexahedral elements (but not wedges or pyramids) diff --git a/src/pyvale/sensorsim/visualsimplotter.py b/src/pyvale/sensorsim/visualsimplotter.py index a7a39b5f..1754a99c 100644 --- a/src/pyvale/sensorsim/visualsimplotter.py +++ b/src/pyvale/sensorsim/visualsimplotter.py @@ -11,11 +11,11 @@ import pyvale.mooseherder as mh from pyvale.sensorsim.sensorspoint import SensorsPoint -from pyvale.sensorsim.fieldconverter import simdata_to_pyvista +from pyvale.sensorsim.fieldconverter import simdata_to_pyvista_vis from pyvale.sensorsim.visualopts import (VisOptsSimSensors,VisOptsImageSave) from pyvale.sensorsim.visualtools import (create_pv_plotter, - get_colour_lims, - save_image) + get_colour_lims) +from pyvale.sensorsim.imagetools import ImageTools #TODO: Docstrings @@ -106,7 +106,7 @@ def plot_sim_mesh(sim_data: mh.SimData, if vis_opts is None: vis_opts = VisOptsSimSensors() - pv_simdata = simdata_to_pyvista(sim_data, + pv_simdata = simdata_to_pyvista_vis(sim_data, None, sim_data.num_spat_dims) @@ -129,7 +129,7 @@ def plot_sim_data(sim_data: mh.SimData, if vis_opts is None: vis_opts = VisOptsSimSensors() - pv_simdata = simdata_to_pyvista(sim_data, + pv_simdata = simdata_to_pyvista_vis(sim_data, (component,), sim_data.num_spat_dims) @@ -174,7 +174,7 @@ def plot_point_sensors_on_sim(sensor_array: SensorsPoint, pv_plot.camera_position = vis_opts.camera_position if image_save_opts is not None: - save_image(pv_plot,image_save_opts) + ImageTools.save_image(pv_plot,image_save_opts) return pv_plot diff --git a/src/pyvale/strain/strain.py b/src/pyvale/strain/strain.py index 261e353f..00434fb7 100644 --- a/src/pyvale/strain/strain.py +++ b/src/pyvale/strain/strain.py @@ -53,7 +53,7 @@ def calculate_2d(data: str | Path, output_binary : bool, optional Whether to write output in binary format (default: False). output_prefix : str, optional - Prefix for all output files (default: "strain_"). results will be + Prefix for all output files (default: :code:`strain_`). results will be named with output_prefix + original filename. THe extension will be changed to ".csv" or ".dic2d" depending on whether outputting as a binary. output_delimiter : str, optional diff --git a/src/pyvale/strain/strainresults.py b/src/pyvale/strain/strainresults.py index d2b445e0..e9993b44 100644 --- a/src/pyvale/strain/strainresults.py +++ b/src/pyvale/strain/strainresults.py @@ -11,13 +11,12 @@ @dataclass(slots=True) class StrainResults: """ - Data container for Strain analysis results. - - This dataclass stores the strain window coordinates, 2D deformation gradient - and strain values. + Data container for Strain analysis results. This dataclass stores the strain + window coordinates, 2D deformation gradient and strain values. Attributes ---------- + window_x : np.ndarray The x-coordinates of the strain window centre. shape=(img_num,y,x) window_y : np.ndarray @@ -32,11 +31,11 @@ class StrainResults: The yy component of the 2D deformation gradient. shape=(img_num,y,x) eps_xx : np.ndarray The xx component of the 2D strain tensor. shape=(img_num,y,x) - eps_xy : np.ndarray + eps_xy : np.ndarray The xy component of the 2D strain tensor. shape=(img_num,y,x) - eps_yx : np.ndarray + eps_yx : np.ndarray The yx component of the 2D strain tensor. shape=(img_num,y,x) - eps_yy : np.ndarray + eps_yy : np.ndarray The yy component of the 2D strain tensor. shape=(img_num,y,x) filenames : list[str] name of Strain result files that have been found From b3283b86ef13a61215be9b55f7a38c54f7fbad40 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Fri, 30 Jan 2026 11:43:53 +0000 Subject: [PATCH 12/22] automated cpp --- docs/apidoc.sh | 53 +++++++++++++++++++++----- docs/source/api_py.rst | 1 + docs/source/examples/examples.rst | 2 +- docs/source/examples/examples_dic.rst | 2 +- docs/source/index.rst | 6 --- docs/source/install/install.rst | 2 +- docs/source/install/install_mac.rst | 11 +++--- src/pyvale/verif/pointsensmultiphys.py | 2 +- 8 files changed, 54 insertions(+), 25 deletions(-) diff --git a/docs/apidoc.sh b/docs/apidoc.sh index a25c6152..3c6e2b1d 100644 --- a/docs/apidoc.sh +++ b/docs/apidoc.sh @@ -1,4 +1,5 @@ -set -e +#!/usr/bin/env bash +set -e set -o pipefail echo "==========================================" @@ -11,23 +12,16 @@ error_exit() { exit 1 } -# Generate the python API documentation +# Python API documentation sphinx-apidoc -f -o ./source --separate ../src/pyvale/ ../src/pyvale/data/* ../src/pyvale/examples/* || error_exit "sphinx-apidoc failed" # Remove autogenerated TOC file rm -f source/modules.rst || error_exit "Failed to remove modules.rst" -# Generate the C++ API documentation -( cd ./source && doxygen Doxyfile ) || error_exit "doxygen generation failed" - echo "Updating generated RST files..." -# Change title for dataset file -# sed -i '0,/pyvale.dataset/s/pyvale.dataset/pyvale.dataset/' source/pyvale.dataset.rst || error_exit "Failed to update dataset title" -# sed -i '0,/dataset.dataset/s/dataset.dataset/pyvale.dataset/' source/pyvale.dataset.dataset.rst || error_exit "Failed to update dataset title" - # Modules to process -modules=("dic" "blender" "mooseherder" "sensorsim" "verif" "dataset") +modules=("dic" "blender" "mooseherder" "sensorsim" "verif" "dataset" "strain") for mod in "${modules[@]}"; do rst="source/pyvale.${mod}.rst" @@ -59,3 +53,42 @@ rm -f ./source/pyvale.dic.dic2dcpp.rst || error_exit "Failed to remove dic2dcpp. echo "PYTHON API DOCUMENTATION GENERATED SUCCESSFULLY!" +# ------------------------------------------------------------------ +# Generate C++ API documentation +# ------------------------------------------------------------------ +echo "==========================================" +echo " GENERATING C++ API DOCUMENTATION..." +echo "==========================================" + +# Run Doxygen (optional, if you still want it) +( cd ./source && doxygen Doxyfile ) || error_exit "doxygen generation failed" + +# Create RST files for each C++ header +for mod in "${modules[@]}"; do + src_dir="../src/pyvale/${mod}/cpp" + out_dir="source/cpp/${mod}" + + mkdir -p "$out_dir" + + for file in "$src_dir"/*.hpp; do + [ -e "$file" ] || continue # skip if no files + + filename=$(basename "$file") # e.g., dicmain.hpp + base="${filename%.hpp}" # dicmain + rst_file="${out_dir}/${base}.rst" # e.g., source/cpp/dic/dicmain.rst + + echo "Generating $rst_file" + + cat > "$rst_file" <`_. After you have homebrew setup, you can install python3.11 with: @@ -55,7 +56,7 @@ This will create a virtual environment called 'pyvale-env' in a folder of the sa If this has worked you should see '(pyvale-env)' at the start of your command prompt line showing the environmen is activated. If you ever need to activate the environment in a new command prompt you just need to run the 'activate' script again from the folder you are currently in. Virtual Environments in VSCode ------------------------------- +=============================== To use you virtual environment in VSCode to run some of the examples you will need to make sure you have selected your virtual environment as your python interpreter. To do this first open the folder that you want to work from which should be the same folde that contains your virtual environment folder (that is the pyvale-env folder). @@ -93,7 +94,7 @@ Installation from Source This will only be needed if you want an editable installation of ``pyvale`` for most applications users will want to use the PyPI version above. Dependencies -^^^^^^^^^^^^ +============ Apple has disabled OpenMP for the default C/C++ compilers shipped with Xcode. Therefore, it's reccomended you install either ``gcc`` OR``llvm`` AND ``libomp`` using the homebrew (`https://brew.sh/`_) package manager. @@ -131,7 +132,7 @@ used during the build process: export CXX=/opt/homebrew/opt/llvm/bin/clang++ Clone and Install the Github Repository -^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ +======================================= Clone ``pyvale`` to your local system using git along with submodules using: diff --git a/src/pyvale/verif/pointsensmultiphys.py b/src/pyvale/verif/pointsensmultiphys.py index 2f3bc1a6..aea685ec 100644 --- a/src/pyvale/verif/pointsensmultiphys.py +++ b/src/pyvale/verif/pointsensmultiphys.py @@ -166,7 +166,7 @@ def exp_sim_2d() -> dict[str,sens.ExperimentSimulator]: # print(f"{ee=}") # print(80*"-") if err_chain_dict[ff][ee] is not None: - err_int_opts = sens.ErrIntOpts()q + err_int_opts = sens.ErrIntOpts() this_sens.set_error_chain(err_chain_dict[ff][ee], err_int_opts) From 5a1f09be0311ac051eb76978e467be4c1d3e4f61 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Fri, 30 Jan 2026 11:45:09 +0000 Subject: [PATCH 13/22] removed old rst files for cpp source. --- docs/source/conf.py | 4 +- docs/source/cpp/dicbruteforce.rst | 6 -- docs/source/cpp/dicfourier.rst | 6 -- docs/source/cpp/dicinterpolator.rst | 6 -- docs/source/cpp/dicmain.rst | 6 -- docs/source/cpp/dicoptimizer.rst | 6 -- docs/source/cpp/dicrg.rst | 6 -- docs/source/cpp/dicscanmethod.rst | 6 -- docs/source/cpp/dicsmooth.rst | 6 -- docs/source/cpp/dicstrain.rst | 6 -- docs/source/cpp/dicutil.rst | 6 -- docs/source/guide_theory/guide_theory.rst | 2 +- docs/source/guide_user/guide_blender.rst | 2 +- docs/source/guide_user/guide_dic.rst | 69 ++++++++++------------ docs/source/guide_user/guide_sensorsim.rst | 2 +- docs/source/guide_user/guide_user.rst | 2 +- docs/source/index.rst | 28 ++++----- 17 files changed, 51 insertions(+), 118 deletions(-) delete mode 100644 docs/source/cpp/dicbruteforce.rst delete mode 100644 docs/source/cpp/dicfourier.rst delete mode 100644 docs/source/cpp/dicinterpolator.rst delete mode 100644 docs/source/cpp/dicmain.rst delete mode 100644 docs/source/cpp/dicoptimizer.rst delete mode 100644 docs/source/cpp/dicrg.rst delete mode 100644 docs/source/cpp/dicscanmethod.rst delete mode 100644 docs/source/cpp/dicsmooth.rst delete mode 100644 docs/source/cpp/dicstrain.rst delete mode 100644 docs/source/cpp/dicutil.rst diff --git a/docs/source/conf.py b/docs/source/conf.py index 4575c191..dd3b570b 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -28,7 +28,9 @@ 'sphinx.ext.autodoc', 'sphinx.ext.napoleon', 'sphinx.ext.autosummary', - 'sphinx.ext.viewcode', # Adds source code links + 'sphinx.ext.intersphinx', + 'sphinx_design', + 'sphinx.ext.viewcode', 'sphinx_codeautolink', 'sphinx_copybutton', 'sphinx_gallery.gen_gallery', diff --git a/docs/source/cpp/dicbruteforce.rst b/docs/source/cpp/dicbruteforce.rst deleted file mode 100644 index b63e258a..00000000 --- a/docs/source/cpp/dicbruteforce.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicbruteforce.hpp -================== - -.. doxygenfile:: dicbruteforce.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp \ No newline at end of file diff --git a/docs/source/cpp/dicfourier.rst b/docs/source/cpp/dicfourier.rst deleted file mode 100644 index 7f22abf0..00000000 --- a/docs/source/cpp/dicfourier.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicfourier.hpp -================= - -.. doxygenfile:: dicfourier.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp diff --git a/docs/source/cpp/dicinterpolator.rst b/docs/source/cpp/dicinterpolator.rst deleted file mode 100644 index d49347c2..00000000 --- a/docs/source/cpp/dicinterpolator.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicinterpolator.hpp -===================== - -.. doxygenfile:: dicinterpolator.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp diff --git a/docs/source/cpp/dicmain.rst b/docs/source/cpp/dicmain.rst deleted file mode 100644 index 74aed964..00000000 --- a/docs/source/cpp/dicmain.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicmain.hpp -================== - -.. doxygenfile:: dicmain.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp \ No newline at end of file diff --git a/docs/source/cpp/dicoptimizer.rst b/docs/source/cpp/dicoptimizer.rst deleted file mode 100644 index 1c22fb55..00000000 --- a/docs/source/cpp/dicoptimizer.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicoptimizer.hpp -================== - -.. doxygenfile:: dicoptimizer.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp \ No newline at end of file diff --git a/docs/source/cpp/dicrg.rst b/docs/source/cpp/dicrg.rst deleted file mode 100644 index be6212ed..00000000 --- a/docs/source/cpp/dicrg.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicrg.hpp -================== - -.. doxygenfile:: dicrg.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp \ No newline at end of file diff --git a/docs/source/cpp/dicscanmethod.rst b/docs/source/cpp/dicscanmethod.rst deleted file mode 100644 index 251b21d0..00000000 --- a/docs/source/cpp/dicscanmethod.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicscanmethod.hpp -================== - -.. doxygenfile:: dicscanmethod.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp \ No newline at end of file diff --git a/docs/source/cpp/dicsmooth.rst b/docs/source/cpp/dicsmooth.rst deleted file mode 100644 index 5a0b2f50..00000000 --- a/docs/source/cpp/dicsmooth.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicsmooth.hpp -================== - -.. doxygenfile:: dicsmooth.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp \ No newline at end of file diff --git a/docs/source/cpp/dicstrain.rst b/docs/source/cpp/dicstrain.rst deleted file mode 100644 index f6d94636..00000000 --- a/docs/source/cpp/dicstrain.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicstrain.hpp -================== - -.. doxygenfile:: dicstrain.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp \ No newline at end of file diff --git a/docs/source/cpp/dicutil.rst b/docs/source/cpp/dicutil.rst deleted file mode 100644 index f453983d..00000000 --- a/docs/source/cpp/dicutil.rst +++ /dev/null @@ -1,6 +0,0 @@ -dicutil.hpp -================== - -.. doxygenfile:: dicutil.hpp - :project: pyvale - :path: ../src/pyvale/dic/cpp \ No newline at end of file diff --git a/docs/source/guide_theory/guide_theory.rst b/docs/source/guide_theory/guide_theory.rst index c4777761..81c4461c 100644 --- a/docs/source/guide_theory/guide_theory.rst +++ b/docs/source/guide_theory/guide_theory.rst @@ -1,4 +1,4 @@ -.. _guide_overview: +.. _guide_overview_theory: Theory Guide ================================= diff --git a/docs/source/guide_user/guide_blender.rst b/docs/source/guide_user/guide_blender.rst index 07f98802..2656a6d9 100644 --- a/docs/source/guide_user/guide_blender.rst +++ b/docs/source/guide_user/guide_blender.rst @@ -1,4 +1,4 @@ .. _guide_blender: Blender User Guide -============= +================== diff --git a/docs/source/guide_user/guide_dic.rst b/docs/source/guide_user/guide_dic.rst index b968276f..1fed5e65 100644 --- a/docs/source/guide_user/guide_dic.rst +++ b/docs/source/guide_user/guide_dic.rst @@ -7,15 +7,15 @@ DIC User Guide This page should be conisered more of a guide to the key interactions and useful tips and tricks for getting good results in a reasonable amount of time. -A high level overview of the Pyvale '*workflow*' Can be found in the flowchart below. +Specific examples can be found here. A runthrough of the mathematics for the key +components of Pyvale's DIC engine can be found here: + -The Pyvale workflow ------------------- Importing the DIC modules -^^^^^^^^^^^^^^^^^^^^^^^^^^ +-------------------------- After installing Pyvale, you'll need to importing the relevent modules before going any further. We like to import the modules in the following way: @@ -26,6 +26,8 @@ going any further. We like to import the modules in the following way: import pyvale.strain as strain +The Pyvale DIC workflow +----------------------- .. figure:: guide_dic_flowchart.png :alt: DIC flowchart @@ -39,6 +41,7 @@ or, you can create it using Numpy. Simple examples can be found below: .. tab-set:: .. tab-item:: Interactive ROI Pyvale + .. code-block:: python @@ -53,6 +56,7 @@ or, you can create it using Numpy. Simple examples can be found below: ) .. tab-item:: Programmatic ROI Pyvale + .. code-block:: Python @@ -67,6 +71,7 @@ or, you can create it using Numpy. Simple examples can be found below: ) .. tab-item:: Programmatic ROI Numpy + .. code-block:: Python @@ -154,7 +159,7 @@ Once you have finished your correlation, you can proceed with whatever visualization and post-processing tools/software you'd like. Alternatively, Pyvale provides the option to read the data in using a single command into a single dataclass that can be used for easy plotting. Importing data is done with -the :code:`dic.import_2d`` command. The below highlights how to import data and +the :code:`dic.import_2d` command. The below highlights how to import data and create a simple plot of the displacement .. :code-block:: Python @@ -208,27 +213,8 @@ can import DIC data and calculate strains using Importing DIC Data ^^^^^^^^^^^^^^^^^^^^ - - -DIC Methods ------------- - - - -Multiwindow RG-DIC -^^^^^^^^^^^^^^^^^^^ - -Incremental RG-DIC -^^^^^^^^^^^^^^^^^^^ - -Image Scan -^^^^^^^^^^^^ - -While not generally recommended for obtaining accurate results. This is useful - - DIC with Large Images/Displacements -------------------------------- +------------------------------------ Setting a Maximum Displacement ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ @@ -285,12 +271,8 @@ The MAD outlier removal works in the following way: #. Looks at nearby subsets in a 2D neighborhood #. Computes the median of their shifts #. Computes the MAD (median absolute deviation) -#. If the current value deviates **too much** from the neighborhood, - it replaces it with the local median. - -**too much** is defined by the `mad_scale` argument. A value is deemed as -replaceable only if :math:`| x − \mathrm{median}| > \mathrm{fft\_mad\_scale} \times \mathrm{MAD}`, -A larger `fft_mad_scale` is therefore more *tolerant*, while a smaller value kills larger deviations. +#. A value is replaced if the the condition :math:`| x − \mathrm{median}| > \mathrm{fft\_mad\_scale} \times \mathrm{MAD}` is met. + A larger :code:`fft_mad_scale` is therefore more *tolerant*, while a smaller value kills larger deviations. Sequential Image Loading @@ -310,9 +292,13 @@ below: def_imgs = ["def_00.tiff", "def_01.tiff", "def_02.tiff", ...] for def_img in def_imgs: - dic.calculate_2d(reference=ref_img, - deformed=def_img, - ...) + + dic.calculate_2d( + ..., + reference=ref_img, + deformed=def_img, + ..., + ) There are plans to change this in later pyvale versions so that images are read sequentially and thus avoiding the need for any loops. Please keep an @@ -322,10 +308,15 @@ eye on the documentation for any future changes. Selecting a Thread Count ------------------------------- -Understanding DIC Output -------------------------------- +Users can select the number of threads used in the DIC calculation with the +:code:`num_threads`` argument in :code:`dic.calculate_2d`: -Incremental DIC ------------------ -This feature is a Work in Progress.. +.. code-block:: Python + :emphasize-lines: 3 + + dic.calculate_2d( + ..., + num_threads=, + ..., + ) diff --git a/docs/source/guide_user/guide_sensorsim.rst b/docs/source/guide_user/guide_sensorsim.rst index 22e95b5a..9cb3ca4b 100644 --- a/docs/source/guide_user/guide_sensorsim.rst +++ b/docs/source/guide_user/guide_sensorsim.rst @@ -1,7 +1,7 @@ .. _guide_sensorsim: Sensor Simulation User Guide -======================= +============================= The sensor simulation module is pyvale is used for modelling sensors including sources of uncertainty with a particular focus on systematic an Type B measurement errors. Systematic and Type B measurement errors are the most difficult to characterise in practice and often contribute the most to the overall uncertainty of a given measurement. diff --git a/docs/source/guide_user/guide_user.rst b/docs/source/guide_user/guide_user.rst index 43853abe..8a32e32c 100644 --- a/docs/source/guide_user/guide_user.rst +++ b/docs/source/guide_user/guide_user.rst @@ -1,4 +1,4 @@ -.. _guide_overview: +.. _guide_overview_user: User Guide ================================= diff --git a/docs/source/index.rst b/docs/source/index.rst index 563c4e45..230a0fa4 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -53,37 +53,37 @@ Getting Started .. grid:: 2 :gutter: 3 - .. grid-item-card:: User Guide - :link: guide_user/guide_user + .. grid-item-card:: Installation + :link: install/install :link-type: doc :text-align: center :shadow: lg - - :octicon:`workflow;5em` - .. grid-item-card:: Theory Overview - :link: guide_theory/guide_theory + :octicon:`gear;5em` + + .. grid-item-card:: Examples + :link: examples/examples :link-type: doc :text-align: center :shadow: lg - - :octicon:`book;5em` - .. grid-item-card:: Installation - :link: install/install + :octicon:`file-code;5em` + + .. grid-item-card:: User Guide + :link: guide_user/guide_user :link-type: doc :text-align: center :shadow: lg - :octicon:`gear;5em` + :octicon:`workflow;5em` - .. grid-item-card:: Examples - :link: examples/examples + .. grid-item-card:: Theory Overview + :link: guide_theory/guide_theory :link-type: doc :text-align: center :shadow: lg - :octicon:`file-code;5em` + :octicon:`book;5em` .. toctree:: From d1586bed19d4f68baf326b01e44353cf26eea859 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Fri, 30 Jan 2026 13:15:36 +0000 Subject: [PATCH 14/22] fixes for cpp api for new structure. --- docs/apidoc.sh | 45 +++++++++++++++++++++++++++++++++++++---- docs/source/Doxyfile | 2 +- docs/source/api_cpp.rst | 18 +++-------------- 3 files changed, 45 insertions(+), 20 deletions(-) diff --git a/docs/apidoc.sh b/docs/apidoc.sh index 3c6e2b1d..aa37b2bd 100644 --- a/docs/apidoc.sh +++ b/docs/apidoc.sh @@ -71,11 +71,11 @@ for mod in "${modules[@]}"; do mkdir -p "$out_dir" for file in "$src_dir"/*.hpp; do - [ -e "$file" ] || continue # skip if no files + [ -e "$file" ] || continue - filename=$(basename "$file") # e.g., dicmain.hpp - base="${filename%.hpp}" # dicmain - rst_file="${out_dir}/${base}.rst" # e.g., source/cpp/dic/dicmain.rst + filename=$(basename "$file") + base="${filename%.hpp}" + rst_file="${out_dir}/${base}.rst" echo "Generating $rst_file" @@ -90,5 +90,42 @@ EOF done done +# ------------------------------------------------------------------ +# Generate module-level index RST files for C++ headers +# ------------------------------------------------------------------ +for mod in "${modules[@]}"; do + out_dir="source/cpp/${mod}" + index_file="source/cpp/cpp_${mod}.rst" + + headers="" + for f in "$out_dir"/*.rst; do + [ -e "$f" ] || continue # skip if no files + headers="$headers $(basename "$f")" + done + + # Skip if no headers found + [ -z "$headers" ] && continue + + # Sort headers alphabetically + headers=$(echo $headers | tr ' ' '\n' | sort) + + echo "Generating module index $index_file" + + { + echo "${mod}" + echo "==================" + echo "" + echo ".. toctree::" + echo " :caption: C++ Source Files" + echo " :maxdepth: 1" + echo "" + for h in $headers; do + echo " ${mod}/${h}" + done + } > "$index_file" +done + + + echo "C++ RST FILES GENERATED SUCCESSFULLY!" diff --git a/docs/source/Doxyfile b/docs/source/Doxyfile index afc58f73..6f647f5f 100644 --- a/docs/source/Doxyfile +++ b/docs/source/Doxyfile @@ -943,7 +943,7 @@ WARN_LOGFILE = # spaces. See also FILE_PATTERNS and EXTENSION_MAPPING # Note: If this tag is empty the current directory is searched. -INPUT = ../../src/pyvale/dic/cpp +INPUT = ../../src/pyvale/dic/cpp ../../src/pyvale/strain/cpp # This tag can be used to specify the character encoding of the source files # that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses diff --git a/docs/source/api_cpp.rst b/docs/source/api_cpp.rst index 10af8da2..28be3091 100644 --- a/docs/source/api_cpp.rst +++ b/docs/source/api_cpp.rst @@ -2,21 +2,9 @@ Detailed C++ API ================= -Digital Image Correlation -------------------------- - - .. toctree:: :maxdepth: 1 - :caption: C++ Header Files + :caption: Modules - cpp/dicbruteforce - cpp/dicfourier - cpp/dicinterpolator - cpp/dicmain - cpp/dicoptimizer - cpp/dicrg - cpp/dicscanmethod - cpp/dicsmooth - cpp/dicstrain - cpp/dicutil + ./cpp/cpp_dic.rst + ./cpp/cpp_strain.rst From d99c33a7c328a2d7f1f38aab7c956b32338d682a Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Fri, 30 Jan 2026 13:49:20 +0000 Subject: [PATCH 15/22] fixed citation. updated guides and home page. Small change to a DIC example. --- docs/source/cite.rst | 12 ++++++------ docs/source/guide_theory/guide_theory.rst | 2 +- docs/source/guide_theory/guide_theory_dic.rst | 4 +--- docs/source/guide_user/guide_dic.rst | 15 +++++++-------- docs/source/guide_user/guide_user.rst | 4 ++-- docs/source/index.rst | 4 ++-- docs/source/install/install.rst | 11 ++++++++++- src/pyvale/examples/dic/ex2_plate_with_hole.py | 4 ++-- 8 files changed, 31 insertions(+), 25 deletions(-) diff --git a/docs/source/cite.rst b/docs/source/cite.rst index f6ad9e6c..66aa5c53 100644 --- a/docs/source/cite.rst +++ b/docs/source/cite.rst @@ -6,12 +6,6 @@ project in your academic puplications using the following citation: .. tab-set:: - .. tab-item:: MLA - - Hirst, Joel, et al. "PYVALE: A Fast, Scalable, Open-Source 2D Digital Image Correlation - (DIC) Engine Capable of Handling Gigapixel Images." - *arXiv preprint arXiv:2601.12941* (2026). - .. tab-item:: APA Hirst, J., Sibson, L., Tayeb, A., Poole, B., Sampson, M., Bielajewa, W., ... & Fletcher, L. (2026). @@ -19,6 +13,12 @@ project in your academic puplications using the following citation: Capable of Handling Gigapixel Images. *arXiv preprint arXiv:2601.12941*. + .. tab-item:: MLA + + Hirst, Joel, et al. "PYVALE: A Fast, Scalable, Open-Source 2D Digital Image Correlation + (DIC) Engine Capable of Handling Gigapixel Images." + *arXiv preprint arXiv:2601.12941* (2026). + .. tab-item:: Bibtex .. code-block:: diff --git a/docs/source/guide_theory/guide_theory.rst b/docs/source/guide_theory/guide_theory.rst index 81c4461c..f22e2bc1 100644 --- a/docs/source/guide_theory/guide_theory.rst +++ b/docs/source/guide_theory/guide_theory.rst @@ -1,4 +1,4 @@ -.. _guide_overview_theory: +.. _guide_theory: Theory Guide ================================= diff --git a/docs/source/guide_theory/guide_theory_dic.rst b/docs/source/guide_theory/guide_theory_dic.rst index 6cebd474..9ac9a563 100644 --- a/docs/source/guide_theory/guide_theory_dic.rst +++ b/docs/source/guide_theory/guide_theory_dic.rst @@ -1,6 +1,4 @@ - - -.. _guide_dic: +.. _guide_theory_dic: DIC Theory Overview ====================================== diff --git a/docs/source/guide_user/guide_dic.rst b/docs/source/guide_user/guide_dic.rst index 1fed5e65..5aaa0e9f 100644 --- a/docs/source/guide_user/guide_dic.rst +++ b/docs/source/guide_user/guide_dic.rst @@ -1,15 +1,13 @@ - - .. _guide_dic: DIC User Guide ============== -This page should be conisered more of a guide to the key interactions and useful +**This page should be conisered a guide to the core DIC user interactions and useful tips and tricks for getting good results in a reasonable amount of time. -Specific examples can be found here. A runthrough of the mathematics for the key -components of Pyvale's DIC engine can be found here: - +Specific examples can be found in the** :ref:`examples_all` **section**. +**If you are after a runthrough of the mathematics of the DIC engine, you can find +that in the** :ref:`guide_theory_dic`. @@ -112,8 +110,9 @@ Understanding Output files The next step is to understand the output. By default the results will be saved in the users current working directory in human readable .CSV format with a filename prefix of -:code:`dic_results_` followed by the name of the deformed image. The output will have -the following columns: +:code:`dic_results_` followed by the name of the deformed image. + +**The output will have the following columns:** - **subset_x**: X-coordinate of the center of the subset (or window) used in displacement tracking or correlation analysis. diff --git a/docs/source/guide_user/guide_user.rst b/docs/source/guide_user/guide_user.rst index 8a32e32c..bf406ce7 100644 --- a/docs/source/guide_user/guide_user.rst +++ b/docs/source/guide_user/guide_user.rst @@ -3,8 +3,8 @@ User Guide ================================= -Module user guides ------------------- +Module Specific Guides +----------------------- .. toctree:: :maxdepth: 1 diff --git a/docs/source/index.rst b/docs/source/index.rst index 893c1269..a49ad591 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -89,10 +89,10 @@ Getting Started .. toctree:: :hidden: - guide_user/guide_user - guide_theory/guide_theory install/install examples/examples + guide_user/guide_user + guide_theory/guide_theory api_py api_cpp cite diff --git a/docs/source/install/install.rst b/docs/source/install/install.rst index 285af734..655ff1de 100644 --- a/docs/source/install/install.rst +++ b/docs/source/install/install.rst @@ -11,7 +11,16 @@ We have detailed install guides for non-specialist python users for the common o install_mac.rst install_windows.rst -If you are already familiar with setting up and using virtual environments in python then all you need to do is **create a python 3.11 environment** and install ``pyvale`` from PyPI using: +If you are already familiar with setting up and using virtual environments in python then all you need to do is **create a python 3.11 environment**. +You can check you are using the correct python version with: + +.. code-block:: bash + + >>> python --version + Python 3.11.xx + + +and install ``pyvale`` from PyPI using: .. code-block:: bash diff --git a/src/pyvale/examples/dic/ex2_plate_with_hole.py b/src/pyvale/examples/dic/ex2_plate_with_hole.py index 5d199af0..09069012 100644 --- a/src/pyvale/examples/dic/ex2_plate_with_hole.py +++ b/src/pyvale/examples/dic/ex2_plate_with_hole.py @@ -63,7 +63,7 @@ roi.read_array(filename=roi_file, binary=False) # %% -# Now we can run the 2D DIC engine using :func:`pyvale.dic_2d`. +# Now we can run the 2D DIC engine using :func:`pyvale.dic.calculate_2d`. # # This function accepts many optional arguments — consult the documentation for full details. # At a minimum, you’ll need to specify: @@ -80,7 +80,7 @@ # At present, the DIC engine doesn't return any results to the user, instead the results are saved to disk. # You can customize the filename, location, format, and delimiter using # the options options `output_basepath`, `output_prefix`, `output_delimiter`, and `output_binary`. -# More info on these options can be found in the documentation for :func:`dic.two_dimensional`. +# More info on these options can be found in the API documentation for :func:`pyvale.dic.calculate_2d`. # By default, the results will be saved with the prefix `dic_results_` followed # by the original filename. The file extension will be replaced will either ".csv" or "dic2d" # depending on whether the results are being saved in human-readable or binary format. From 5c3a3183c5b5395e108854c623001dc4746db31a Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Fri, 30 Jan 2026 14:59:37 +0000 Subject: [PATCH 16/22] initial work on a HRDIC example. --- docs/source/examples/examples_dic.rst | 1 + src/pyvale/examples/dic/ex6_hrdic.py | 119 ++++++++++++++++++++++++++ 2 files changed, 120 insertions(+) create mode 100644 src/pyvale/examples/dic/ex6_hrdic.py diff --git a/docs/source/examples/examples_dic.rst b/docs/source/examples/examples_dic.rst index 48d17ea8..150543b0 100644 --- a/docs/source/examples/examples_dic.rst +++ b/docs/source/examples/examples_dic.rst @@ -11,4 +11,5 @@ DIC & Strain Calculations dic/ex3_plate_with_hole_strain.rst dic/ex4_dic_blender.rst dic/ex5_dic_challenge.rst + dic/ex6_hrdic.rst diff --git a/src/pyvale/examples/dic/ex6_hrdic.py b/src/pyvale/examples/dic/ex6_hrdic.py new file mode 100644 index 00000000..5cbf12dd --- /dev/null +++ b/src/pyvale/examples/dic/ex6_hrdic.py @@ -0,0 +1,119 @@ +#================================================================================ +#Example: thermocouples on a 2d plate +# +#pyvale: the python validation engine +#License: MIT +#Copyright (C) 2024 The Computer Aided Validation Team +#================================================================================ +""" +HRDIC +--------------------- + +.. note: + This example walks through how a user might setup a DIC calculation for large + displacment images as is often found in micromechanics. + +""" + +# %% +# .. note: +# Because of the size of the images (10000x10000 pixels), +# you'll need to download them seperately. This example assumes the +# files are in the same directory/folder as the example script. +# +# Images can be downloaded `here `_. + +# pyvale modules +import pyvale.dic as dic +import matplotlib.pyplot as plt + +# %% +# Because of the size of the images, we'll avoid using the interactive GUI for this example. +# We'll create an ROI mask that is the same size as the images using the +# rect_boundary command. If you know that pixels along a certain edge will go +# outside the image bounds post deformation, then excluding them from the ROI +# will prevent the DIC engine from trying to correlate subsets in the reference +# image are not present in the deformed image. +roi = dic.RegionOfInterest(ref_image="ref.tiff") +roi.rect_boundary(left=0,right=0,top=0,bottom=0) + + +# %% +# We'll also chose a seed location. We've picked this at the centre of the image +# because this approximate area will be displaced the least. +roi.seed = [5000,5000] + +# %% +# We can then run the DIC engine using our ROI mask and seed location + +dic.calculate_2d(reference="ref.tiff", + deformed="def.tiff", + roi_mask=roi.mask, + seed=roi.seed, + subset_size=31, + subset_step=15, + max_displacement=1000, + fft_mad=True, + fft_mad_scale=3.0, + correlation_criteria="ZNSSD", + shape_function="AFFINE", + precision=0.001, + threshold=0.8, + output_basepath="./") + +# %% +# If you saved the results in a human-readable format, you can use any tool +# (e.g., Excel, Python, MATLAB) for post-processing. +# +# For convenience, we provide a utility function to import results back into Python +# for analysis and visualization: :func:`pyvale.dic.import_2d`. +# +# The returned object is an instance of :class:`pyvale.DICResults`. If the results +# were saved in binary format or with a custom delimiter, be sure to specify those parameters. +dic_files = "dic_results_*.csv" +dicdata = dic.import_2d(data=dic_files) + +# %% +# As an example, here's a simple visualization of the displacement (u, v) and +# correlation cost for the two deformed images using matplotlib. You'll need to +# ensure you have `matplotlib.pyplot` installed and imported. +fig, axes = plt.subplots(2, 3, figsize=(15, 10)) +axes = axes.flatten() + +# First deformation image +im1 = axes[0].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.u[0]) +im2 = axes[1].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.v[0]) +im3 = axes[2].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.cost[0]) + +# Second deformation image +im4 = axes[3].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.u[1]) +im5 = axes[4].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.v[1]) +im6 = axes[5].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.cost[1]) + +# Titles +axes[0].set_title('u component (def0000.tiff)') +axes[1].set_title('v component (def0000.tiff)') +axes[2].set_title('cost (def0000.tiff)') +axes[3].set_title('u component (def0001.tiff)') +axes[4].set_title('v component (def0001.tiff)') +axes[5].set_title('cost (def0001.tiff)') + +for aa in axes: + aa.set_aspect('equal') + +# Colorbars +fig.colorbar(im1, ax=axes[0]) +fig.colorbar(im2, ax=axes[1]) +fig.colorbar(im3, ax=axes[2]) +fig.colorbar(im4, ax=axes[3]) +fig.colorbar(im5, ax=axes[4]) +fig.colorbar(im6, ax=axes[5]) + +plt.tight_layout() +plt.show() + +# %% +# .. image:: ../../../../_static/plate_with_hole.png +# :alt: Displacement and cost values +# :width: 800px +# :align: center From ff4e9a5cbf64c9daff7f01f023d9129c7f8c05a5 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Fri, 30 Jan 2026 16:00:28 +0000 Subject: [PATCH 17/22] finished HRDIC example. --- src/pyvale/examples/dic/ex6_hrdic.py | 75 ++++++++++++++++------------ 1 file changed, 42 insertions(+), 33 deletions(-) diff --git a/src/pyvale/examples/dic/ex6_hrdic.py b/src/pyvale/examples/dic/ex6_hrdic.py index 5cbf12dd..2cdc141c 100644 --- a/src/pyvale/examples/dic/ex6_hrdic.py +++ b/src/pyvale/examples/dic/ex6_hrdic.py @@ -26,6 +26,7 @@ # pyvale modules import pyvale.dic as dic import matplotlib.pyplot as plt +import numpy as np # %% # Because of the size of the images, we'll avoid using the interactive GUI for this example. @@ -44,7 +45,8 @@ roi.seed = [5000,5000] # %% -# We can then run the DIC engine using our ROI mask and seed location +# We can then run the DIC engine using our ROI mask and seed location. +# dic.calculate_2d(reference="ref.tiff", deformed="def.tiff", @@ -57,27 +59,37 @@ fft_mad_scale=3.0, correlation_criteria="ZNSSD", shape_function="AFFINE", - precision=0.001, threshold=0.8, output_basepath="./") -# %% -# If you saved the results in a human-readable format, you can use any tool -# (e.g., Excel, Python, MATLAB) for post-processing. +# %% +# There's a couple of things to pay attention to here: # -# For convenience, we provide a utility function to import results back into Python -# for analysis and visualization: :func:`pyvale.dic.import_2d`. +# * :code:`max_displacement`: Sets the assumed maximum displacment. It is better +# to overestimate rather than underestimate this value +# * :code:`fft_mad` and :code:`fft_mad_scale`: These remove outliers by +# calculating a Mean Absolute Deviation (MAD) at each stage of the FFT windowing +# and prevent the propagation of incorrect rigid body estimates down through the window sizes. +# The mad scale value determines how strict the outlier removal is - larger values of +# make the criterion more permissive, whereas smaller values more aggressively suppress deviations. +# * :code:`threshold`: Sets the minimum correlation coefficient value for a +# subset to be considered a good match. Any correlation coefficients less than +# this value will not be present in the results. If you want to have all +# values present in the output, you can set +# :code:`output_below_threshold=True`. # -# The returned object is an instance of :class:`pyvale.DICResults`. If the results -# were saved in binary format or with a custom delimiter, be sure to specify those parameters. +# **This might take some time to run depending on the amount of available +# threads! You can manually set this with the** :code:`num_threads` **argument.** + +# %% +# The results can be imported in a standard way: dic_files = "dic_results_*.csv" dicdata = dic.import_2d(data=dic_files) # %% -# As an example, here's a simple visualization of the displacement (u, v) and -# correlation cost for the two deformed images using matplotlib. You'll need to -# ensure you have `matplotlib.pyplot` installed and imported. -fig, axes = plt.subplots(2, 3, figsize=(15, 10)) +# And finally a simple plot of the displacements and correlation +# coefficient. +fig, axes = plt.subplots(1, 3, figsize=(15, 10)) axes = axes.flatten() # First deformation image @@ -85,35 +97,32 @@ im2 = axes[1].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.v[0]) im3 = axes[2].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.cost[0]) -# Second deformation image -im4 = axes[3].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.u[1]) -im5 = axes[4].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.v[1]) -im6 = axes[5].pcolor(dicdata.ss_x, dicdata.ss_y, dicdata.cost[1]) - # Titles -axes[0].set_title('u component (def0000.tiff)') -axes[1].set_title('v component (def0000.tiff)') -axes[2].set_title('cost (def0000.tiff)') -axes[3].set_title('u component (def0001.tiff)') -axes[4].set_title('v component (def0001.tiff)') -axes[5].set_title('cost (def0001.tiff)') +axes[0].set_title('u component') +axes[1].set_title('v component') +axes[2].set_title('cost') + +# Axis ticks +ticks = np.arange(0, 10001, 2500) +for ax in axes: + ax.set_aspect('equal') + ax.set_xlim(0, 10000) + ax.set_ylim(0, 10000) + ax.set_xticks(ticks) + ax.set_yticks(ticks) -for aa in axes: - aa.set_aspect('equal') # Colorbars -fig.colorbar(im1, ax=axes[0]) -fig.colorbar(im2, ax=axes[1]) -fig.colorbar(im3, ax=axes[2]) -fig.colorbar(im4, ax=axes[3]) -fig.colorbar(im5, ax=axes[4]) -fig.colorbar(im6, ax=axes[5]) +fig.colorbar(im1, ax=axes[0], fraction=0.046, pad=0.04) +fig.colorbar(im2, ax=axes[1], fraction=0.046, pad=0.04) +fig.colorbar(im3, ax=axes[2], fraction=0.046, pad=0.04) plt.tight_layout() +plt.savefig("hrdic.png", dpi=300, bbox_inches="tight") plt.show() # %% -# .. image:: ../../../../_static/plate_with_hole.png +# .. image:: ../../../../_static/hrdic.png # :alt: Displacement and cost values # :width: 800px # :align: center From c54c066d25722833ccacf6a46f99290bf8e18638 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Mon, 2 Feb 2026 14:50:11 +0000 Subject: [PATCH 18/22] thread count explained in DIC guide. --- docs/source/guide_user/guide_dic.rst | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/docs/source/guide_user/guide_dic.rst b/docs/source/guide_user/guide_dic.rst index 5aaa0e9f..a53b135d 100644 --- a/docs/source/guide_user/guide_dic.rst +++ b/docs/source/guide_user/guide_dic.rst @@ -307,8 +307,9 @@ eye on the documentation for any future changes. Selecting a Thread Count ------------------------------- +Pyvale uses `OpenMP `_ for parallel calculations. Users can select the number of threads used in the DIC calculation with the -:code:`num_threads`` argument in :code:`dic.calculate_2d`: +:code:`num_threads` argument in :code:`dic.calculate_2d`: .. code-block:: Python @@ -319,3 +320,9 @@ Users can select the number of threads used in the DIC calculation with the num_threads=, ..., ) + +Alternatively, those on UNIX operating systems (MacoS, Linux) can set the number +of threads using the :code:`OMP_NUM_THREADS` environment variable. +If you are using Windowos PowerShell you can use the command :code:`$env:OMP_NUM_THREADS=`. +It is worth noting that Pyvale will only use this value if it has not been +specified with the :code:`num_threads=` function argument. From c3fcea876e586a5bda0a5f1a32465d43fa1b78ea Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Mon, 2 Feb 2026 14:50:48 +0000 Subject: [PATCH 19/22] added pip, conda and pip install instructions on main page. --- docs/source/install/install.rst | 56 ++++++++++++++++++++++++--------- 1 file changed, 42 insertions(+), 14 deletions(-) diff --git a/docs/source/install/install.rst b/docs/source/install/install.rst index 655ff1de..254a9656 100644 --- a/docs/source/install/install.rst +++ b/docs/source/install/install.rst @@ -2,27 +2,55 @@ Installation =================== -We have detailed install guides for non-specialist python users for the common operating systems below. This includes walkthroughs on how to install the correct python version for your operating system and how to setup a virtual environment to install ``pyvale``. -.. toctree:: - :maxdepth: 1 +If you have **Python 3.11** installed you can setup ``pyvale`` using your preferred package manager: - install_linux.rst - install_mac.rst - install_windows.rst +.. tab-set:: + + .. tab-item:: pip + + .. code-block:: bash + + # Create a virtual environment with Python 3.11 + python3.11 -m venv venv-pyvale + + # Activate the environment + source venv-pyvale/bin/activate # On Windows: .\venv-pyvale\Scripts\Activate.ps1 + + # Install pyvale + pip install pyvale + + .. tab-item:: uv -If you are already familiar with setting up and using virtual environments in python then all you need to do is **create a python 3.11 environment**. -You can check you are using the correct python version with: + .. code-block:: bash -.. code-block:: bash + # Initialize a new project with Python 3.11 + uv init --python 3.11 try-pyvale + cd try-pyvale - >>> python --version - Python 3.11.xx + # Add pyvale as a dependency + uv add pyvale -and install ``pyvale`` from PyPI using: + .. tab-item:: conda -.. code-block:: bash + .. code-block:: bash - pip install pyvale + # Create a conda environment with Python 3.11 + conda create -n pyvale-env python=3.11 + # Activate the environment + conda activate pyvale-env + + # Install pyvale + pip install pyvale + +**We have detailed install guides for non-specialist python users for the common operating systems below. +This includes walkthroughs on how to install the correct python version for your operating system and how to setup a virtual environment.** + +.. toctree:: + :maxdepth: 1 + + install_linux.rst + install_mac.rst + install_windows.rst From 52aeba1edbf5dc358b286341c4203171bb274461 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Mon, 2 Feb 2026 14:52:51 +0000 Subject: [PATCH 20/22] theory and user guide images. HRDIC example. --- docs/source/_static/hrdic.png | 1 + .../guide_theory/guide_theory_dic_cost.gif | Bin 0 -> 6782605 bytes .../guide_theory/guide_theory_dic_interp.png | Bin 0 -> 52361 bytes .../guide_theory_dic_preinterp.png | Bin 0 -> 3736 bytes .../guide_theory/guide_theory_dic_rgdic.gif | Bin 0 -> 623719 bytes .../guide_theory_dic_shape_functions_dark.png | Bin 0 -> 60185 bytes ...guide_theory_dic_shape_functions_light.png | Bin 0 -> 64288 bytes .../source/guide_user/guide_dic_flowchart.png | Bin 0 -> 180587 bytes images/hrdic.png | Bin 0 -> 3120049 bytes src/pyvale/examples/dic/ex6_hrdic.py | 25 ++++++++---------- 10 files changed, 12 insertions(+), 14 deletions(-) create mode 120000 docs/source/_static/hrdic.png create mode 100644 docs/source/guide_theory/guide_theory_dic_cost.gif create mode 100644 docs/source/guide_theory/guide_theory_dic_interp.png create mode 100644 docs/source/guide_theory/guide_theory_dic_preinterp.png create mode 100644 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""" -# %% -# .. note: -# Because of the size of the images (10000x10000 pixels), -# you'll need to download them seperately. This example assumes the -# files are in the same directory/folder as the example script. -# -# Images can be downloaded `here `_. + # pyvale modules import pyvale.dic as dic @@ -31,7 +29,7 @@ # %% # Because of the size of the images, we'll avoid using the interactive GUI for this example. # We'll create an ROI mask that is the same size as the images using the -# rect_boundary command. If you know that pixels along a certain edge will go +# :code:`roi.rect_boundary` command. If you know that pixels along a certain edge will go # outside the image bounds post deformation, then excluding them from the ROI # will prevent the DIC engine from trying to correlate subsets in the reference # image are not present in the deformed image. @@ -118,11 +116,10 @@ fig.colorbar(im3, ax=axes[2], fraction=0.046, pad=0.04) plt.tight_layout() -plt.savefig("hrdic.png", dpi=300, bbox_inches="tight") plt.show() # %% # .. image:: ../../../../_static/hrdic.png # :alt: Displacement and cost values -# :width: 800px +# :width: 100% # :align: center From 825670fb08b17f9d58b9d5c199379f8888ed7cbe Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Tue, 3 Feb 2026 14:58:04 +0000 Subject: [PATCH 21/22] small bugfixes for poly roi. --- src/pyvale/dic/dicregionofinterest.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/src/pyvale/dic/dicregionofinterest.py b/src/pyvale/dic/dicregionofinterest.py index 078ab3e5..9382945a 100644 --- a/src/pyvale/dic/dicregionofinterest.py +++ b/src/pyvale/dic/dicregionofinterest.py @@ -845,7 +845,7 @@ def _get_roi_data(self, roi_element, add: bool): print('getting rect:', roi_element.pos(), roi_element.size()) return { 'type': 'RectROI', - 'pos': [float(roi_element.pos().x()), roi_element.pos().y()], + 'pos': [float(roi_element.pos().x()), float(roi_element.pos().y())], 'size': [float(roi_element.size().x()), float(roi_element.size().y())], 'add': bool(add) } @@ -858,7 +858,8 @@ def _get_roi_data(self, roi_element, add: bool): } elif isinstance(roi_element, pg.PolyLineROI): handle_pos = roi_element.getLocalHandlePositions() - points = [[float(p[1].x()), float(p[1].y())] for p in handle_pos] + roi_pos = roi_element.pos() + points = [[float(p[1].x() + roi_pos.x()), float(p[1].y() + roi_pos.y())] for p in handle_pos] return { 'type': 'PolyLineROI', 'points': points, From ee1ef080ec9508e06587a317d6dbf6ea941d6bf4 Mon Sep 17 00:00:00 2001 From: JoelPhys Date: Tue, 3 Feb 2026 15:35:54 +0000 Subject: [PATCH 22/22] additions to DIC guides. --- docs/source/_static/custom.css | 4 + docs/source/guide_theory/guide_theory_dic.rst | 63 +++--- docs/source/guide_user/guide_dic.rst | 209 +++++++++++++++--- .../guide_user/guide_dic_interactive.png | Bin 0 -> 452714 bytes .../guide_user/guide_dic_interactive.yaml | 45 ++++ 5 files changed, 262 insertions(+), 59 deletions(-) create mode 100644 docs/source/guide_user/guide_dic_interactive.png create mode 100644 docs/source/guide_user/guide_dic_interactive.yaml diff --git a/docs/source/_static/custom.css b/docs/source/_static/custom.css index 1616a045..10bf7d4a 100644 --- a/docs/source/_static/custom.css +++ b/docs/source/_static/custom.css @@ -9,3 +9,7 @@ color: #0066cc !important; /* Monokai-style cyan */ } +.code-scroll { + max-height: 400px; + overflow: auto; +} diff --git a/docs/source/guide_theory/guide_theory_dic.rst b/docs/source/guide_theory/guide_theory_dic.rst index 9ac9a563..51fd44c6 100644 --- a/docs/source/guide_theory/guide_theory_dic.rst +++ b/docs/source/guide_theory/guide_theory_dic.rst @@ -4,15 +4,15 @@ DIC Theory Overview ====================================== Digital Image Correlation (DIC) is a technique for measuring -deformation, displacement, and strain by analyzing a sequence of images captured -during a loading process. At its core, DIC tracks the movement of patterns/speckles/textures between images, +deformation, displacement, and strain fields by analyzing a sequence of images captured +during a loading process. At its core, DIC tracks the movement of patterns and textures between images, and from this motion, deduces how the material has deformed. Local Subset DIC ---------------- -In Local subset DIC images are divided into small :math:`N \times N` pixel regions which are called *subsets*. +In Local subset DIC, images are divided into small :math:`N \times N` pixel regions which are called *subsets*. By comparing the intensity patterns of these subsets across images, we can estimate -their displacement. The image below shows the difference/cost (where 0 is a perfect match) +their displacement. The image below shows the difference (or cost), where 0 is a perfect match, for a brute force scan along the x-axis. @@ -20,20 +20,20 @@ for a brute force scan along the x-axis. :alt: Example Cost Minimization -Typically we don't use a brute forcea approach, but instead use an **optimization algorith** that is much more computationally -efficient. The optimization tries to minimize the difference between the +Typically we don't use a brute-force approach, but instead use an **optimization algorithm** that is much more computationally +efficient. The optimization attempts to minimize the difference between the reference and deformed subset by using the gradient. You can see from the -brute-force approach that there's local minima where the optimizer might get -stuck. It's therefore important to ensure that any initial guess is reasonably +brute-force approach that there are local minima where the optimizer might get +stuck, so it's important to ensure that any initial guess is reasonably close to the actual parameters that define the mapping from the subset in the reference image to the subset in the deformed image. Shape Functions --------------- -It's often the case that a subset undergoes a more complex translation than just a pure rigid translation between reference and deformed image. -To model how a subset deforms more genreally, we introduce *shape functions*. These are +It's often the case that a subset undergoes more complex deformation than just rigid translation between reference and deformed image. +To model how a subset deforms more generally, we introduce *shape functions*. These are mathematical mappings that describe how points inside a subset move relative to -each other. Pyvale supports three commonly used shape functions in DIC. The simplest of course is a pure *rigid* translation (two +each other. Pyvale supports three commonly used shape functions in DIC. The simplest of course is a pure *rigid* translation (two parameters: horizontal and vertical shift). After this comes *affine* and *quadratic* shape functions: @@ -44,7 +44,7 @@ parameters: horizontal and vertical shift). After this comes *affine* and \begin{bmatrix} x_i \\ y_i \end{bmatrix}}_{\text{affine}} + \underbrace{\begin{bmatrix} p_6 & p_7 & p_8 \\ p_9 & p_{10} & p_{11} \end{bmatrix} \begin{bmatrix} x_i^2 \\ x_iy_i \\ y_i^2 \end{bmatrix}}_{\text{quadratic}} -Each higher-order shape function includes all terms from the lower-order functions: affine includes rigid terms, and quadratic includes both affine and rigid terms. +Each higher-order shape function includes all terms from the lower-order functions: affine includes rigid terms, and quadratic includes both affine and rigid terms. .. image:: guide_theory_dic_shape_functions_light.png :class: only-light @@ -56,7 +56,7 @@ Each higher-order shape function includes all terms from the lower-order functio Cost Functions / Correlation Criterion --------------------------------------- -How do we decide if two subsets *match*? To do this we use what's known as a cost function, or often reffered to as a Correlation Criterion. +How do we decide if two subsets *match*? To do this we use what's known as a cost function, or often referred to as a Correlation Criterion. This is a numerical measure of similarity between the reference subset and the deformed subset. **Pyvale supports three choices:** @@ -83,7 +83,7 @@ where :math:`f(x_{i},y_{i})` and :math:`g(x_{i},y_{i})` represent the gray-leve Cost Function Optimization ---------------------------- -Minimizing the value fo the cost function is requires using a optimization routine. +Minimizing the value of the cost function requires using an optimization routine. These algorithms start with an initial guess and refine it step by step. Convergence depends on a good initial guess and a generally well-behaved cost surface. Pyvale uses a **Levenberg-Marquardt** non-linear optimization routine to minimize the cost function. @@ -104,7 +104,7 @@ approximation to the Hessian, taken here as :math:`\mathbf{J}` the Jacobian of the residuals with respect to :math:`\mathbf{p}`. The scalar :math:`\lambda > 0` is the Levenberg–Marquardt damping factor, which controls the balance between -gradient-descent and Gauss–Newton behaviour. +gradient-descent and Gauss–Newton behavior. After computing the updated parameter vector :math:`\mathbf{p}_{i+1}`, the cost function is re-evaluated to assess the quality of the update. Based on the @@ -147,17 +147,17 @@ further updates would produce only negligible changes in the parameters and the cost function. -Sub-pixel Accuracy using Interpolation +Sub-pixel Accuracy With Interpolation -------------------------------------- -DIC aims for precision beyond the integer values defined by the images pixel grid. Integer-pixel +DIC aims for precision beyond the integer values defined by the image's pixel grid. Integer-pixel matching is a good start, but physical displacements do not perfectly map to pixel boundaries. To capture this, we refine the measurement to *sub-pixel* accuracy using interpolation. Instead of treating the image as a discrete array, we approximate it as a smooth surface. This is done using **cubic B-spline interpolation**. -Cubic B-spline interpolation +Cubic B-spline Interpolation ^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Cubic B-spline interpolation represents the interpolated function as a weighted sum of shifted B-spline basis functions: @@ -177,7 +177,7 @@ where :math:`c_{i,j}` are B-spline coefficients and :math:`\beta^3(t)` is the cu Prefiltering ^^^^^^^^^^^^^^^^^^ -To ensure that the B-spline passes through the original intensity values, we +To ensure that the B-spline interpolation passes through the original intensity values, we can apply a filter to get the B-spline coefficients. For a 1D row of intensity data :math:`\{f_0, f_1, \ldots, f_{N-1}\}`, the filtering has three steps. First is to apply a normalization: @@ -191,7 +191,7 @@ with pole :math:`z = \sqrt{3} - 2`. Then apply a **causal filter**: c_i^{(+)} = c_i^{(0)} + z \, c_{i-1}^{(+)}, \quad i = 1, 2, \ldots, N-1 with an initial condition of :math:`c_0^{(+)} = c_0^{(0)}`. The final step is -to apply an **anticausal filter**. Starting at end of the row: +to apply an **anticausal filter**. Starting at the end of the row: .. math:: c_{N-1} = \frac{z}{z^2-1} c_{N-1}^{(+)} @@ -201,17 +201,17 @@ and then applying: .. math:: c_i = z(c_{i+1} - c_i^{(+)}), \quad i = N-2, N-3, \ldots, 0 -This 1D filtering can be done for each row of the image to get a list of coefficients :math:`c_{i,j}^{(x)}`. It can then be applied to the colum of the result to +This 1D filtering can be done for each row of the image to get a list of coefficients :math:`c_{i,j}^{(x)}`. It can then be applied to the columns of the result to get a full list of coefficients :math:`c_{i,j}`. Evaluation ^^^^^^^^^^ -to get the intensity value at an arbitraty subpixel location :math:`f(x,y)` we +To get the intensity value at an arbitrary subpixel location :math:`f(x,y)` we compute the local coordinates: .. math:: - t_x = x - \mathrm{floor}(x), \quad t_y = y - \mathrm{floor(y)} + t_x = x - \mathrm{floor}(x), \quad t_y = y - \mathrm{floor}(y) then evaluate the basis functions for the local coordinates: @@ -238,22 +238,23 @@ and compute the interpolated value: - .. figure:: guide_theory_dic_interp.png :width: 100% -Reliability Guided DIC (RG-DIC) +Reliability-Guided DIC (RG-DIC) -------------------------------- It's highly likely that some subsets will poorly correlate due to texture changes, cracks, noise, changes in lighting, or large local deformations. -Reliability‑Guided DIC (RG‑DIC) was a method developed by `B. Pan (2009) `_ that helps to limit the amount of poor results by correlating subsets in an order determined by the magnitude of the correlation coefficient. +Reliability-Guided DIC (RG-DIC) was a method developed by `B. Pan (2009) `_ that helps to limit +the amount of poor results by correlating subsets in an order determined by the magnitude of the correlation coefficient. The algorithm proceeds as follows: #. The user selects an initial seed location. Correlation is performed at the - seed location and its 4 neighbouring points. These points are marked as computed + seed location and its 4 neighboring points. These points are marked as computed in a global mask. -#. The four points are added to a queue according from highest correlation +#. The four points are added to a queue ordered from highest correlation coefficient to lowest. #. The point at the top of the queue is removed. Correlation is then performed - for it's uncomputed neighbours. Succesful correlations from previously computed neighbouring subsets + for its uncomputed neighbors. Successful correlations from previously computed neighboring subsets are used as initial conditions for the optimization routine. -#. Newly Computed points are updated in the global mask and added to the queue. -#. The algorithm then expands outward in a front‑propagation style until all +#. Newly computed points are updated in the global mask and added to the queue. +#. The algorithm then expands outward in a front-propagation style until all subsets have been computed. .. figure:: guide_theory_dic_rgdic.gif @@ -288,7 +289,7 @@ These quantities, along with the size of the strain window, form what is typical VSG = (\mathrm{N} - 1)s + w Due to the noise in DIC measurements, smoothing is typically applied over the strain window. -We supports bilinear and biquadratic smoothing over the strain window elements. +We support bilinear and biquadratic smoothing over the strain window elements. The polynomial approximation is given by: .. math:: diff --git a/docs/source/guide_user/guide_dic.rst b/docs/source/guide_user/guide_dic.rst index a53b135d..a29904fb 100644 --- a/docs/source/guide_user/guide_dic.rst +++ b/docs/source/guide_user/guide_dic.rst @@ -31,10 +31,17 @@ The Pyvale DIC workflow :alt: DIC flowchart :width: 60% + +Region Of interest (ROI) Selection +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Basic Selection +"""""""""""""""""" + For any DIC calculation the user must first specify the **region of interest -(ROI)** for their calculation. You can either use Pyvale for this (see an -in-depth example :doc:`here <../examples/dic/ex1_region_of_interest.rst>`), -or, you can create it using Numpy. Simple examples can be found below: +(ROI)** for their calculation. You can either use Pyvale (see the first DIC +example for a detailed walkthrough), or, you can create it using Numpy. +Basic approaches are summarized below: .. tab-set:: @@ -43,7 +50,7 @@ or, you can create it using Numpy. Simple examples can be found below: .. code-block:: python - roi = dic.RegionOfInterest(ref_image="./ref_img.tiff") + roi = dic.RegionOfInterest(ref_image="./ref_img.tiff") # initialization roi.interactive_selection(subset_size=31) # ROI GUI will launch dic.calculate_2d( @@ -58,7 +65,7 @@ or, you can create it using Numpy. Simple examples can be found below: .. code-block:: Python - roi = dic.RegionOfInterest(ref_image="./ref_img.tiff") # set reference image + roi = dic.RegionOfInterest(ref_image="./ref_img.tiff") # initialization roi.rect_boundary(left=100,right=100,bottom=100,top=100) # exclude a 100 pixel boundary dic.calculate_2d( @@ -83,10 +90,112 @@ or, you can create it using Numpy. Simple examples can be found below: ..., ) +Behind the scenes ``dic.RegionOfInterest`` initializes ``roi.mask`` as a ``np.ndarray`` with +the same dimensions as the reference image. You can then manipulate it as you +would with any 2D Numpy array before passing to the DIC engine. + +Defining a ROI with a YAML file +"""""""""""""""""""""""""""""""""" + +Another option is to use a YAML file for the ROI. When using +``roi.interactive_selection`` you can save and open ROI configurations easily +within the GUI. In most cases, it will be easier to create and save the ROI YAML using +the GUI and use that for all future calculations. It will also give you a sense +of how the YAML is structured. + +Each entry in the YAML file describes a specific ROI object with a specific +type. The ROI shape can be specified with: + +* ``RectROI`` +* ``CircleROI`` +* ``PolyLineROI`` + +For each ROI shape, you must also specify the Boolean flag ``add`` which +indicates whether the ROI shape is being added (``true``) or subtracted (``false``) +from the mask. + +There are shape specific fields: + +* ``pos``: For rectangular, circular, and seed ROIs: the top-left or center position as [x, y]. +* ``size``: For RectROI and SeedROI: [width, height]. For CircleROI: diameter values (same number repeated). +* ``points``: For ``PolyLineROI`` an ordered list of [x, y] vertices defining the polyline. + + +The order in which they are defined in the YAML file determines the layering. +The ROI object at the top of the file will be the bottom most layer. Any +later additions or subtractions will be applied to previously defined ROI +objects. + +You can also specify the seed location using ``SeedROI``. This requires the same +arguments as ``RectRoi``. Ensure that this has been configured with ``add: true`` and the width and height +fields for ``size`` are identical. + +An example of an ROI configured in YAML side-by-side with it loaded into the ROI +GUI can be found below: + + +.. list-table:: + :widths: 50 50 + :align: left + + * - .. container:: code-scroll + + .. code-block:: yaml + + - type: RectROI + pos: + - 34 + - 37 + size: + - 433 + - 588 + add: true + - type: RectROI + pos: + - 322 + - 53 + size: + - 123 + - 225 + add: false + - type: CircleROI + pos: + - 371 + - 536 + size: + - 133 + - 133 + add: false + - type: PolyLineROI + points: + - - 158 + - 422 + - - 85 + - 482 + - - 88 + - 584 + - - 222 + - 586 + - - 227 + - 480 + add: false + - type: SeedROI + pos: + - 108 + - 145 + size: + - 41 + - 41 + add: true + + - .. image:: ./guide_dic_interactive.png + :height: 400px + + Performing a correlation ^^^^^^^^^^^^^^^^^^^^^^^^ -The next step is to perform a correlation with the dic.calculate_2d function. +The next step is to perform a correlation with the ``dic.calculate_2d`` function. There are a few arguments that **must** be passed. These are the rference and deformed images, the roi mask and seed, as well as the subset size and subset step: @@ -102,7 +211,7 @@ and subset step: subset_step=15 ) -In the simplest above case, all other arguments will have default values. See +All other possible arguments will have default values. See the API documentation for this function for more details. Understanding Output files @@ -110,40 +219,40 @@ Understanding Output files The next step is to understand the output. By default the results will be saved in the users current working directory in human readable .CSV format with a filename prefix of -:code:`dic_results_` followed by the name of the deformed image. +``dic_results_`` followed by the name of the deformed image. **The output will have the following columns:** -- **subset_x**: +- ``subset_x``: X-coordinate of the center of the subset (or window) used in displacement tracking or correlation analysis. -- **subset_y**: +- ``subset_y``: Y-coordinate of the center of the subset used in displacement tracking or correlation analysis. -- **displacement_u**: +- ``displacement_u``: Displacement in the X-direction (horizontal) calculated for the subset. -- **displacement_v**: +- ``displacement_v``: Displacement in the Y-direction (vertical) calculated for the subset. -- **displacement_mag**: +- ``displacement_mag``: Magnitude of the displacement vector. -- **converged**: +- ``converged``: Boolean flag indicating whether the displacement calculation algorithm converged for this subset. -- **cost**: +- ``cost``: The final value of the cost function used during the displacement calculation. - The reported value is always given as the **ZNCC** no matter if the SSD, NSSD or ZNSSD has been chosen as the correlation function. + The reported value is always given as the ZNCC value no matter if the SSD, NSSD or ZNSSD has been chosen as the correlation function. The ZNCC is calculated with the final parameter values from the last optimizer iteration. -- **ftol**: +- ``ftol``: The final value of the function tolerance, a measure of how much the cost function changed between iterations at convergence. -- **xtol**: +- ``xtol``: The final value of the solution tolerance, a measure of how much the solution (displacement) changed between iterations at convergence. -- **num_iterations**: +- ``num_iterations``: The number of iterations the algorithm took to converge for this subset. You can alter the path, delimiter and filename prefix of the output file using the arguments @@ -154,14 +263,14 @@ can also opt to save results in binary format. This can be done by setting Importing DIC Results ^^^^^^^^^^^^^^^^^^^^^ -Once you have finished your correlation, you can proceed with whatever -visualization and post-processing tools/software you'd like. Alternatively, -Pyvale provides the option to read the data in using a single command into a -single dataclass that can be used for easy plotting. Importing data is done with -the :code:`dic.import_2d` command. The below highlights how to import data and -create a simple plot of the displacement +Once you have finished your correlation, you can proceed with any +visualization and post-processing tools/software. Pyvale does provide +the capability to read the DIC data using a single command into a +dataclass that can be utilized for simple plotting. Importing data is done with +the ``dic.import_2d`` command. The below highlights how to import data and +create a simple plot of the displacement: -.. :code-block:: Python +.. code-block:: Python import matplotlib.pyplot as plt @@ -209,8 +318,52 @@ can import DIC data and calculate strains using ) -Importing DIC Data -^^^^^^^^^^^^^^^^^^^^ +Understanding Strain Output Files +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Just like the DIC output, the strain output files are saved +in the users current working directory in human readable .CSV format with a filename prefix of +``strain_`` followed by the name of the deformed image. + +**The output will have the following columns:** + +* ``window_x``: X-coordinate of the strain window center. +* ``window_y``: Y-coordinate of the strain window center. +* ``def_grad_00``: Deformation gradient component, :math:`F_{00}`. +* ``def_grad_01``: Deformation gradient component, :math:`F_{01}`. +* ``def_grad_10``: Deformation gradient component, :math:`F_{10}`. +* ``def_grad_11``: Deformation gradient component, :math:`F_{11}`. +* ``eps_00``: Strain tensor component :math:`\eps_{00} (normal strain in x-direction). +* ``eps_01``: Strain tensor component :math:`\eps_{01} (shear strain xy). +* ``eps_10``: Strain tensor component :math:`\eps_{10} (shear strain yx). +* ``eps_11``: Strain tensor component :math:`\eps_{11} (normal strain in y-direction). + +You can alter the path, delimiter and filename prefix of the output file using the arguments +:code:`output_basepath`, :code:`output_delimiter` and :code:`output_prefix`. You +can also opt to save results in binary format. This can be done by setting +:code:`output_binary=True`. + + +Importing Strain Data +^^^^^^^^^^^^^^^^^^^^^^^^ +Importing Strain data is done with the ``strain.import_2d`` command. +The below highlights how to import data and +create a simple plot of the normal strain in the x-direction: + +.. code-block:: Python + + import matplotlib.pyplot as plt + + strain_data = strain.import_2d(data="./dic_results_*") + + # plot of vertical displacement for first deformation image. + plt.pcolor(strain_data.window_x, + strain_data.window_y, + strain_data.eps_xx[0]) # [image, y, x] + +The import will find all files in the current working directory with that +filname prefix. If you have changed :code:`output_delimiter` prior to the +correlation you will also need to specify the delimiter when importing the data. 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