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An Improved Algorithm for the Piecewise-Smooth Mumford and Shah Model in Image Segmentation

Abstract

An improved algorithm for the piecewise-smooth Mumford and Shah functional is presented. Compared to the previous work of Chan and Vese, and Choi et al., extensions of the key functions are replaced by updating the level set function based on an artificial image that is composed of the diffused image and the original image. The low convergence problem of the classical algorithm is efficiently solved in the proposed approach. The resulting algorithm has also been demonstrated by several cases.

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Correspondence to Yingjie Zhang.

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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Zhang, Y. An Improved Algorithm for the Piecewise-Smooth Mumford and Shah Model in Image Segmentation. J Bioinform Sys Biology 2006, 84397 (2006). https://doi.org/10.1155/BSB/2006/84397

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  • DOI: https://doi.org/10.1155/BSB/2006/84397

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