Variational approach to image segmentation

Yan Tian; Hongbo Xu; Jianguo Liu

doi:10.1117/12.441433

21 September 2001 Variational approach to image segmentation

Yan Tian, Hongbo Xu, Jianguo Liu

Proceedings Volume 4550, Image Extraction, Segmentation, and Recognition; (2001) https://doi.org/10.1117/12.441433
Event: Multispectral Image Processing and Pattern Recognition, 2001, Wuhan, China

Abstract

This paper deals with a class of variational problems rising from image segmentation. After introducing the mathematical model of this question, we analysis it's rationality in details. At the same time, two numerical methods will be proposed to solve it. Furthermore, the equivalence of these two equations will be proved briefly. At last, we shall apply this result to approximate a minimum problem that was introduced by D.Mumford and J.Shah to Study image Segmentation.

Citation Download Citation

Yan Tian, Hongbo Xu, and Jianguo Liu "Variational approach to image segmentation", Proc. SPIE 4550, Image Extraction, Segmentation, and Recognition, (21 September 2001); https://doi.org/10.1117/12.441433

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