Nonstandard diffusion in image restoration and decomposition

Authors:
A. El Hamidi;C. Ghannam;G. Bailly-Maitre;M. Menard
Affiliations:
University of La Rochelle, Laboratoire MIA, La Rochelle, France;University of La Rochelle, Laboratoire MIA, La Rochelle, France;University of La Rochelle, Laboratoire MIA, La Rochelle, France;University of La Rochelle, Laboratoire L3I, La Rochelle, France
Venue:
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Year:
2009

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Abstract

This work deals with image restoration and decomposition, into geometric and texture components, via nonstandard diffusion. A genuine class of convex functionlas, for which the corresponding minimization problems have existence and uniqueness solutions, is proposed. Finally, efficient regularization or decomposition algorithms, based on projection methods, are proposed in the case of scalar and vectorial images.