The main purpose of this paper is to prove a local Holder regularity result for the solutions of the total variation based denoising problem assuming that the datum is locally Holder continuous. We also prove a global estimate on the modulus of continuity of the solution in convex domains of R(N) and some extensions of this result for the total variation minimization flow.
Regularity for solutions of the total variation denoising problem
NOVAGA, MATTEO
2011
Abstract
The main purpose of this paper is to prove a local Holder regularity result for the solutions of the total variation based denoising problem assuming that the datum is locally Holder continuous. We also prove a global estimate on the modulus of continuity of the solution in convex domains of R(N) and some extensions of this result for the total variation minimization flow.File in questo prodotto:
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