Projected Gradient Flows for BV/Level Set Relaxation | Zendy

Burger Martin | Zendy; Hintermüller Michael | Zendy

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Projected Gradient Flows for BV/Level Set Relaxation

Author(s) -

Burger Martin,

Hintermüller Michael

Publication year - 2005

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200510004

Subject(s) - discretization , relaxation (psychology) , limit (mathematics) , simple (philosophy) , balanced flow , set (abstract data type) , flow (mathematics) , mathematics , mathematical optimization , class (philosophy) , scheme (mathematics) , computer science , mathematical analysis , geometry , artificial intelligence , psychology , social psychology , philosophy , epistemology , programming language

This paper introduces a new level set method based on projected gradient flows for problems that can be solved by a recently introduced relaxation approach. For the class of problems the relaxation is exact, it can be shown that the solution of the flow converges to a solution of the relaxed problem for large time, and the level sets of the limit are solutions of the original problem. We introduce a simple computational scheme based on explicit time discretization and apply the method to imaging examples. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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