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SIAM J. Appl. Math. 67, pp. 1213-1232 (20 pages)
Multiphase Image Segmentation via Modica–Mortola Phase Transition
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Add to FacebookWe propose a novel multiphase segmentation model built upon the celebrated phase transition model of Modica and Mortola in material sciences and a properly synchronized fitting term that complements it. The proposed sine-sinc model outputs a single multiphase distribution from which each individual segment or phase can be easily extracted. Theoretical analysis is developed for the $\Gamma$-convergence behavior of the proposed model and the existence of its minimizers. Since the model is not quadratic nor convex, for computation we adopted the convex-concave procedure (CCCP) that has been developed in the literatures of both computational nonlinear PDEs and neural computation. Numerical details and experiments on both synthetic and natural images are presented.
© 2007 Society for Industrial and Applied Mathematics
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Received June 11, 2006
Accepted February 16, 2007
Published online June 15, 2007
Accepted February 16, 2007
Published online June 15, 2007
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