Recovering sparse measures from their low frequencies.
Variational approaches to denoising, structure-texture decomposition,... .
Using self-similarities in images to perform restoration.
My research interests include applications of the calculus of variations and the geometric measure theory to signal and image processing. I am also interested in the applications of variational methods for computational mechanics.
I defended my PhD thesis in June 2011 at TELECOM ParisTech, under the supervision of Yann Gousseau and Jean-François Aujol.
I defended my habilitation thesis in June 2022 at Université Paris-Dauphine/PSL.
My PhD students and former PhD students are:
João-Miguel Machado (co-supervised with A. Chambolle).
Romain Petit (co-supervised with Y. De Castro, defended in December 2022).
Paul Catala (co-supervised with G. Peyré, defended in October 2020).
Quentin Denoyelle (co-supervised with G. Peyré, defended in July 2018).
(23/06/2022) I have defended my habilitation thesis! The manuscript can be found here.
