AL-DIC: Augmented Lagrangian Digital Image Correlation with adaptive quadtree mesh
Project description
pyALDIC
Augmented Lagrangian Digital Image Correlation in Python
Full-field displacement and strain measurement with adaptive mesh refinement,
ADMM global–local optimization, and a built-in desktop GUI.
Why pyALDIC?
Standard subset-based DIC (IC-GN) solves each node independently — accurate for small deformations, but struggles with large displacement gradients, discontinuities, and noisy images. pyALDIC uses an Augmented Lagrangian (ADMM) framework that couples local IC-GN subproblems with a global FEM regularizer, producing smoother, more accurate fields while maintaining sub-pixel precision.
Comparison with Existing Tools
| pyALDIC | Ncorr | DICe | VIC-2D | MatchID | |
|---|---|---|---|---|---|
| Algorithm | ADMM global–local | Subset (IC-GN) | Subset + Global | Subset (proprietary) | Subset (proprietary) |
| Regularization | FEM Q8 global | — | — | — | — |
| Adaptive mesh | Quadtree | — | — | — | — |
| Mask handling | Auto warp + window splitting | Manual | Manual | GUI masks | GUI masks |
| Platform | Python (cross-platform) | MATLAB | C++ | Windows | Windows |
| Cost | Free (BSD-3) | Free (MATLAB req.) | Free | $5K–50K+ | $5K–30K+ |
| Open source | Yes | Yes | Yes | No | No |
Key Features
User-Friendly GUI
A complete desktop application built with PySide6. Three-column layout with image list, ROI tools, and parameter controls on the left — interactive zoom/pan canvas in the center — run controls, field overlay, and console log on the right. Load images, draw ROIs, configure parameters, run DIC, and visualize results — all without writing a single line of code.
Desktop GUI — demo coming soon
Adaptive Spatial Refinement
Quadtree mesh refinement with 5 built-in criteria: mask boundary, ROI edge, brush region, manual selection, and posterior error. Concentrates computational effort where it matters — near boundaries, discontinuities, and high-gradient regions.
Adaptive quadtree mesh — demo coming soon
Dual Solver: Local DIC + AL-DIC
Run traditional local IC-GN (fast, independent nodes) or full AL-DIC with ADMM global–local coupling (regularized, smoother). Switch between modes with a single parameter — same GUI, same workflow.
Local DIC vs AL-DIC comparison — demo coming soon
Dual Tracking Modes
Accumulative mode — every frame compared to the first reference (best for small, monotonic deformation). Incremental mode — each frame compared to the previous (handles large cumulative deformation with automatic displacement composition and mask warping).
Accumulative vs incremental tracking — demo coming soon
Window Splitting (Masked Subsets)
Near mask boundaries, standard square subsets include invalid pixels. pyALDIC automatically detects partially masked subsets, splits them using connected-component analysis, and solves IC-GN on the valid region only — with Hessian conditioning checks to ensure reliability.
Window splitting near mask boundaries — demo coming soon
Visualization & Export
Full-field displacement and strain overlay with configurable colormaps, alpha blending, and deformed configuration display. Export to MATLAB .mat, NumPy .npz, CSV, PNG field maps, animated GIF/MP4, and PDF reports.
GUI visualization and export — demo coming soon
Quick Start
Installation
git clone https://github.com/zachtong/pyALDIC.git
cd pyALDIC
pip install -e ".[dev]"
Requires Python >= 3.10. Dependencies: NumPy, SciPy, OpenCV, Numba, scikit-image, PySide6.
Launch GUI
al-dic
# or
python -m al_dic
Programmatic API
from al_dic.core.config import dicpara_default
from al_dic.core.pipeline import run_aldic
from al_dic.io.io_utils import load_images, load_masks
images = load_images("path/to/images", pattern="*.tif")
masks = load_masks("path/to/masks", pattern="*.tif")
para = dicpara_default(winsize=32, winstepsize=16)
result = run_aldic(para, images, masks)
Accuracy
| Test Case | Displacement RMSE | Strain RMSE |
|---|---|---|
| Rigid translation (2.5 px) | < 0.03 px | < 0.01 |
| Affine (2% strain) | < 0.05 px | < 0.02 |
| Rotation (2°) | < 0.05 px | < 0.08 |
| Large deformation (10%) | < 1.0 px | < 0.05 |
High-resolution (1024², step=4, ~56k nodes): AL-DIC achieves 0.004 px RMSE, 60–78% improvement over local DIC for large deformation.
Performance
| Config | Nodes | Total Time |
|---|---|---|
| 256², step=16 | 225 | ~0.07 s |
| 256², step=8 | 961 | ~0.26 s |
| 256², step=4 | 3,969 | ~1.3 s |
| 1024², step=4 | ~56,000 | ~6.5 s |
Numba JIT, post-warmup. First run adds ~0.5 s for compilation.
Project Structure
src/al_dic/
├── core/ Pipeline, config, data structures, frame scheduling
├── gui/ PySide6 GUI application
│ ├── controllers/ Image, ROI, pipeline, visualization controllers
│ ├── dialogs/ Batch import, export dialogs
│ ├── panels/ Canvas area, left/right sidebars
│ └── widgets/ Image list, parameter panel, ROI toolbar, frame nav
├── io/ Image I/O and utilities
├── mesh/ Quadtree mesh generation, refinement criteria
│ └── criteria/ Mask boundary, ROI edge, brush region, manual selection
├── solver/ IC-GN, ADMM (Subpb1/Subpb2), FFT search, FEM assembly
├── strain/ Strain computation, deformation gradient, smoothing
└── utils/ Interpolation, outlier detection, mask warping
tests/ 86 test files, 800+ tests
Testing
# Run all tests
pytest
# Run with parallel workers
pytest -n auto
# Run specific module
pytest tests/test_solver/test_icgn_solver.py
Citation
If you use pyALDIC in your research, please cite:
@article{tong2026pyaldic,
author = {Tong, Zixiang and Yang, Jin},
title = {pyALDIC: A Python Package for Augmented Lagrangian
Digital Image Correlation},
journal = {Journal of Open Source Software},
year = {2026},
note = {in preparation}
}
Contributing
Contributions are welcome! See CONTRIBUTING.md for guidelines.
Acknowledgments
- Based on the AL-DIC MATLAB implementation by Jin Yang
- Developed at The University of Texas at Austin
License
BSD 3-Clause. See LICENSE for details.
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