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 $\mathbb{R}^N$ and
some extensions of this result for the total variation minimization flow.
Publié le : 2011-01-15
Classification:
image processing,
variational methods,
regularity of solutions,
94A08,
35J20,
35J70,
49N60
@article{1296828833,
author = {Caselles
,
Vicent and Chambolle
,
Antonin and Novaga
,
Matteo},
title = {Regularity for solutions of the total variation denoising problem},
journal = {Rev. Mat. Iberoamericana},
volume = {27},
number = {1},
year = {2011},
pages = { 233-252},
language = {en},
url = {http://dml.mathdoc.fr/item/1296828833}
}
Caselles
,
Vicent; Chambolle
,
Antonin; Novaga
,
Matteo. Regularity for solutions of the total variation denoising problem. Rev. Mat. Iberoamericana, Tome 27 (2011) no. 1, pp. 233-252. http://gdmltest.u-ga.fr/item/1296828833/