Speaker
Antonin Chambolle
(CEREMADE, CNRS, Université Paris-Dauphine (PSL))
Description
It has been shown a long time ago that the discontinuity set of the solution of a denoising problem by total variation minimization ("Rudin-Osher-Fatemi") is a subset of the discontinuity set of the original data, if smooth enough. In this talk, I will review the techniques used in the scalar setting, a variant developed by T. Valkonen which in theory addresses more cases (including vectorial), and a much simpler approach, developed in collaboration with M. Łasica (Warsaw) and inspired by T. Valkonen's techniques, yet which extends his results to even more cases.
Primary author
Antonin Chambolle
(CEREMADE, CNRS, Université Paris-Dauphine (PSL))