Global minimization for the Chan-Vese model

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• Xue-Cheng Tai (University of Bergen)
• Thursday 16 February 2012, 15:00-16:00
• MR14, CMS.

If you have a question about this talk, please contact Carola-Bibiane Schoenlieb.

We propose an exact global minimization framework for the Chan-Vese model with 4 regions in a convex variational setting. A global solution is guaranteed if the data term satisfies a mild condition. Theoretical and experimental arguments are given that such a condition will hold in practice for the most commonly used type of data terms. Otherwise, a truncation scheme is proposed which tends to produce global solutions in practice, should this not be the case. We also build up a convex relaxation for Pott’s model with 4 regions, which is at least as tight as the tightest existing relaxation, but significantly simpler. Algorithms are proposed which are very efficient due to the simple formulations.

This talk is part of the Applied and Computational Analysis series.

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