Noisy Image Decomposition: A New Structure, Texture and Noise Model Based on Local Adaptivity

Authors:
Jérôme Gilles
Affiliations:
Centre d'Expertise Parisien, Arcueil Cedex, France 94114
Venue:
Journal of Mathematical Imaging and Vision
Year:
2007

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Abstract

These last few years, image decomposition algorithms have been proposed to split an image into two parts: the structures and the textures. These algorithms are not adapted to the case of noisy images because the textures are corrupted by noise. In this paper, we propose a new model which decomposes an image into three parts (structures, textures and noise) based on a local regularization scheme. We compare our results with the recent work of Aujol and Chambolle. We finish by giving another model which combines the advantages of the two previous ones.