14 citations · 14 across the 4 of their papers we have counts for
3 papers · 1 filter
The Total Variation-Wasserstein Problem
Antonin Chambolle, Vincent Duval, Joao Miguel Machado
In this work we analyze the Total Variation-Wasserstein minimization problem. We propose an alternative form of deriving optimality conditions from the approach of Calier\&Poon'18,…
Exact recovery of the support of piecewise constant images via total variation regularization
Yohann De Castro, Vincent Duval, Romain Petit
This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is…
One-dimensional approximation of measures in Wasserstein distances
Antonin Chambolle, Vincent Duval, Joao Miguel Machado
We propose a variational approach to approximate measures with measures uniformly distributed over a 1 dimentional set. The problem consists in minimizing a Wasserstein distance as…