A Weighted Difference of Anisotropic and Isotropic Total Variation for Relaxed Mumford-Shah Image Segmentation
University of California at Irvine Irvine United States
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We propose to incorporate a weighted difference of anisotropicand 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 methodis introduced to minimize the proposed model utilizing the difference-of-convex algorithm DCA and the primal dual hybrid gradient PDHG method.