2 papers
math.OC2025
Notes on the discretization of TV-norm regularized inverse potential problems
L Baratchart, D P Hardin, C Villalobos-Guillén
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, comp…
math.FA2020
Divergence-free measures in the plane and inverse potential problems in divergence form
L. Baratchart, D. Hardin, C. Villalobos-Guillén
We show that a divergence-free measure on the plane is a continuous sum of unit tangent vector fields on rectifiable Jordan curves. This loop decomposition is more precise than the…