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

Cristoferi Riccardo

Journal of Applied Analysis

2021

Vol. 27, nr 1

13--33

A method for obtaining the exact solution for the total variation denoising problem of piecewise constant images in dimension one is presented. The validity of the algorithm relies on some results concerning the behavior of the solution when the parameter λ in front of the fidelity term varies. Albeit some of them are well-known in the community, here they are proved with simple techniques based on qualitative geometrical properties of the solutions.