A Splitting Algorithm for Image Segmentation on Manifolds Represented by the Grid Based Particle Method

@article{Liu2013ASA,
  title={A Splitting Algorithm for Image Segmentation on Manifolds Represented by the Grid Based Particle Method},
  author={Jun Liu and Shingyu Leung},
  journal={Journal of Scientific Computing},
  year={2013},
  volume={56},
  pages={243-266}
}
We propose a numerical approach to solve variational problems on manifolds represented by the grid based particle method (GBPM) recently developed in Leung et al. (J. Comput. Phys. 230(7):2540–2561, 2011), Leung and Zhao (J. Comput. Phys. 228:7706–7728, 2009a, J. Comput. Phys. 228:2993–3024, 2009b, Commun. Comput. Phys. 8:758–796, 2010). In particular, we propose a splitting algorithm for image segmentation on manifolds represented by unconnected sampling particles. To develop a fast… CONTINUE READING

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