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5-7 July 2023
Alpen-Adria-Universität Klagenfurt
Europe/Vienna timezone

On the jump set of minimizers of scalar and vectorial Total-Variation based regularization problems

6 Jul 2023, 09:00
50m
HS 3 (University of Klagenfurt)

HS 3

University of Klagenfurt

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))

Presentation Materials

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