The Total Variation-Wasserstein Problem
Analysis of PDEs
2023-08-22 v1 Optimization and Control
Abstract
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, and as result obtain further regularity for the quantities involved. In the sequel we propose an algorithm to solve this problem alongside two numerical experiments.
Cite
@article{arxiv.2308.10753,
title = {The Total Variation-Wasserstein Problem},
author = {Antonin Chambolle and Vincent Duval and Joao Miguel Machado},
journal= {arXiv preprint arXiv:2308.10753},
year = {2023}
}