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A weighted difference of anisotropic and isotropic total variation for relaxed Mumford-Shah image segmentation

Fredrick Park Yifei Lou Jack Xin

Numerical Analysis and Scientific Computing mathscidoc:1912.43910

4314-4318, 2016.9
We propose to incorporate a weighted difference of anisotropic and isotropic total variation (TV) norms into a relaxed formulation of the two phase Mumford-Shah (MS) model for image segmentation. We show results exceeding those obtained by the MS model when using the standard TV norm to regularize partition boundaries. In particular, examples illustrating the qualitative differences between the proposed model and the standard MS one are shown. A fast numerical method is introduced to minimize the proposed model utilizing the difference-of-convex algorithm (DCA) and the primal dual hybrid gradient (PDHG) method.
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@inproceedings{fredrick2016a,
  title={A weighted difference of anisotropic and isotropic total variation for relaxed Mumford-Shah image segmentation},
  author={Fredrick Park, Yifei Lou, and Jack Xin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210604995186474},
  pages={4314-4318},
  year={2016},
}
Fredrick Park, Yifei Lou, and Jack Xin. A weighted difference of anisotropic and isotropic total variation for relaxed Mumford-Shah image segmentation. 2016. pp.4314-4318. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210604995186474.
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