Combinatorial Optimization of the Discretized Multiphase Mumford–Shah Functional

@article{ElZehiry2013CombinatorialOO,
  title={Combinatorial Optimization of the Discretized Multiphase Mumford–Shah Functional},
  author={Noha Youssry El-Zehiry and Leo Grady},
  journal={International Journal of Computer Vision},
  year={2013},
  volume={104},
  pages={270-285}
}
The Mumford–Shah model has been one of the most influential models in image segmentation and denoising. The optimization of the multiphase Mumford–Shah energy functional has been performed using level sets methods that optimize the Mumford–Shah energy by evolving the level sets via the gradient descent. These methods are very slow and prone to getting stuck in local optima due to the use of gradient descent. After the reformulation of the 2-phase Mumford–Shah functional on a graph, several… CONTINUE READING

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