The main purpose of this paper is to prove a local Hölder regularity result for the solutions of the total variation based denoising problem assuming that the datum is locally Hölder continuous. We also prove a global estimate on the modulus of continuity of the solution in convex domains of and some extensions of this result for the total variation minimization flow.
Cite this article
Vicent Caselles, Antonin Chambolle, Matteo Novaga, Regularity for solutions of the total variation denoising problem. Rev. Mat. Iberoam. 27 (2011), no. 1, pp. 233–252