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.

@Article{BH05a,
  author       = {Burger, M. and Hintermueller, M.},
  title        = {Projected gradient flows for BV / level set relaxation},
  journal      = {PAMM},
  volume       = {5},
  pages        = {11-14},
  year         = {2005},
  url          = \{/2005/BH05a},
}