Projected Gradient Flows for BV/Level Set Relaxation
Martin Burger, Michael Hintermüller · PAMM · 2005
Abstract 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)