期刊
SIAM JOURNAL ON IMAGING SCIENCES
卷 3, 期 3, 页码 277-299出版社
SIAM PUBLICATIONS
DOI: 10.1137/080736752
关键词
multiphase; image segmentation; region competition; fuzzy membership function; alternative minimization
类别
资金
- RGCs [201508, 203109]
- HKBU FRGs
- Research Fund for the Doctoral Program of Higher Education [200802691037]
- Natural Science Foundation of Shanghai [10ZR1410200]
- Natural Science Foundation of China [60773119, 10971066]
The goal of this paper is to develop a multiphase image segmentation method based on fuzzy region competition. A new variational functional with constraints is proposed by introducing fuzzy membership functions which represent several different regions in an image. The existence of a minimizer of this functional is established. We propose three methods for handling the constraints of membership functions in the minimization. We also add auxiliary variables to approximate the membership functions in the functional such that Chambolle's fast dual projection method can be used. An alternate minimization method can be employed to find the solution, in which the region parameters and the membership functions have closed form solutions. Numerical examples using grayscale and color images are given to demonstrate the effectiveness of the proposed methods.
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