Notes on the discretization of TV-norm regularized inverse potential problems
Optimization and Control
2025-05-05 v1 Numerical Analysis
Numerical Analysis
Abstract
We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valed measures, compactly supported on a fixed set. The criterion is a quadratic residual attached to the data, with an additive penalization of the total variation of the measure.
Cite
@article{arxiv.2505.00710,
title = {Notes on the discretization of TV-norm regularized inverse potential problems},
author = {L Baratchart and D P Hardin and C Villalobos-Guillén},
journal= {arXiv preprint arXiv:2505.00710},
year = {2025}
}