While the sparse spikes recovery problem in the continuous setting has drawn a lot of attention in recent years, a major challenge is to extend the "continuous domain" solvers to the recovery of more compex images, e.g. made of curves or simple geometric shapes.
The team consists of
Vincent Duval (PI),
Below is an example for cartoon image reconstruction using the total gradient variation.
Romain Petit, Yohann De Castro, Vincent Duval. Proceedings of the Scale Space and Variational Methods (SSVM) 2021 conference
Vincent Duval. Journal of Convex Analysis, 28 (3), 2021