Image denoising with a constrained discrete total variation scale space

Abstract

This paper describes an approach for performing image restoration using a coupled differential system that both simplifies the image while preserving its contrast. The first process corresponds to a differential inclusion involving discrete Total Variations that simplifies more and more the observed image as time evolves. The second one extracts some pertinent geometric information contained in the series of simplified images and recovers the constrast using Bregman distances. Convergence and exact computational properties of the method rely on the discrete and combinatorial properties of discrete Total Variations. © 2011 Springer-Verlag.