Published Paper
Inserted: 1 aug 2021
Last Updated: 21 oct 2022
Journal: Nonlinear Analysis
Volume: 222
Year: 2022
Doi: https://doi.org/10.1016/j.na.2022.112926
Abstract:
We study a nonlocal version of the total variation-based model with $L^1-$fidelity for image denoising, where the regularizing term is replaced with the fractional $s$-total variation. We discuss regularity of the level sets and uniqueness of solutions, both for high and low values of the fidelity parameter. We analyse in detail the case of binary data given by the characteristic functions of convex sets.
Keywords: regularity of minimizers, fractional perimeter, Fractional total variation, Image denoising
Download: