Inserted: 16 feb 2007
Last Updated: 10 nov 2018
Journal: Multiscale Modeling and Simulation
The main purpose of this paper is to prove that the jump discontinuity set of the solution of the total variation based denoising problem is contained in the jump set of the datum to be denoised. We also prove some extensions of this result for the total variation minimization flow, for anisotropic norms and for some more general convex functionals which include the minimal surface equation case and its anisotropic extensions.