8 citations · 9 across the 3 of their papers we have counts for
3 papers
Notes on the discretization of TV-NORM regularized inverse potential problems
L Baratchart, D P Hardin, C Villalobos-Guillén +1
We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valued measures, com…
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…
Inverse Potential Problems for Divergence of Measures with Total Variation Regularization
Laurent Baratchart, Cristobal Villalobos Guillen, Douglas P. Hardin +2
We study inverse problems for the Poisson equation with source term the divergence of an -valued measure, that is, the potential satisfies $$ ΔΦ= \text{div} \bold…