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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.

CI Python PySide6 License


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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