Calculus of Variations and Geometric Measure Theory

R. Cristoferi

Exact solutions for the denoising problem of piecewise constant images in dimension one

created by cristoferi on 16 Dec 2016
modified on 08 Oct 2020


Accepted Paper

Inserted: 16 dec 2016
Last Updated: 8 oct 2020

Journal: Journal of Applied Analysis
Year: 2020


In this paper we provide a method to determine explicitly the solution of the total variation denoising problem with a $L^p$ fidelity term, where $p>1$, for piecewise constant data in dimension one.