Published Paper

Inserted: 10 apr 2024
Last Updated: 10 apr 2024

Journal: ESAIM: Control, Optimisation and Calculus of Variations
Year: 2020
Doi: 10.1051/cocv/2019035

Abstract:

We extend some recent results on the Hausdorff convergence of level-sets for total variation regularized linear inverse problems. Dimensions higher than two and measurements in Banach spaces are considered. We investigate the relation between the dimension and the assumed integrability of the solution that makes such an extension possible. We also give some counterexamples of practical application scenarios where the natural choice of fidelity term makes such a convergence fail.