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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2004, Vol. 5 Issue (1): 123-128    DOI: 10.1631/jzus.2004.0123
Mathematics     
Image segmentation based on Mumford-Shah functional
CHEN Xu-feng, GUAN Zhi-cheng
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
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Abstract  In this paper, the authors propose a new model for active contours segmentation in a given image, based on Mumford-Shah functional (Mumford and Shah, 1989). The model is composed of a system of differential and integral equations. By the experimental results we can keep the advantages of Chan and Vese\'s model (Chan and Vese, 2001) and avoid the regularization for Dirac function. More importantly, in theory we prove that the system has a unique viscosity solution.

Key words： Image segmentational      Mumford-Shah functional      Viscosity solution      Level set method     
Received: 20 October 2002     
CLC:  O175.3  
  TN911.73  
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CHEN Xu-feng
GUAN Zhi-cheng
Cite this article:

CHEN Xu-feng, GUAN Zhi-cheng. Image segmentation based on Mumford-Shah functional. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(1): 123-128.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2004.0123     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2004/V5/I1/123

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