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Semi supervised segmentation on graphs (images and pointclouds). Using Eikonal equation.

License: MIT License

Python 0.90% C 0.09% Jupyter Notebook 99.01%

graph-algorithms semi-supervised-learning segmentation eikonal

semi-supervised-segmentation-on-graphs's Introduction

Image	Seeds	Segmented

Image credit: https://www.bayeuxmuseum.com/en/the-bayeux-tapestry/discover-the-bayeux-tapestry/explore-online/

semi-supervised-segmentation-on-graphs

This project solves time-dependent eikonal equation using GPU backend (pyopencl).
$\frac{\partial f}{\partial t} = \mathbf{1} - \|\nabla_{w}^{-}f\|_{\infty}$
Render the notebook here.

Installation.

One needs mainly pyopencl and bufferkdtree library to create the knn-graph and run the pde on GPU.
pip install -r requirements.txt should work.

Cite this:

@ARTICLE{5676212,
  author={Ta, Vinh-Thong and Elmoataz, Abderrahim and Lezoray, Olivier},
  journal={IEEE Transactions on Image Processing}, 
  title={Nonlocal PDEs-Based Morphology on Weighted Graphs for Image and Data Processing}, 
  year={2011},
  volume={20},
  number={6},
  pages={1504-1516},
  doi={10.1109/TIP.2010.2101610}}

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