Nonlocal Anisotropic Discrete Regularization for Image, Data Filtering and Clustering

Abstract : In this paper, we propose a nonlocal anisotropic discrete regularization on graphs of arbitrary topologies as a framework for image, data filtering and clustering. Inspired by recent works on nonlocal regularization and on the TV digital filter, a family of discrete anisotropic functional regularization on graphs is proposed. This regularization is based on the Lp norm of the nonlocal gradient and the discrete p-Laplacian on graphs. It can be viewed as the discrete analogue on graphs of the continuous p-TV anisotropic functionals regularization formulations. After providing definitions and algorithms to resolve such a discrete nonlocal anisotropic regularization, we show its properties for filtering, clustering on di
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https://hal.archives-ouvertes.fr/hal-00187165
Contributeur : Vinh-Thong Ta <>
Soumis le : mardi 20 novembre 2007 - 10:47:29
Dernière modification le : jeudi 8 novembre 2018 - 15:26:02
Document(s) archivé(s) le : mardi 21 septembre 2010 - 15:21:21

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ta07nonlocal2.pdf
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  • HAL Id : hal-00187165, version 2

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Vinh Thong Ta, Sébastien Bougleux, Abderrahim Elmoataz, Olivier Lézoray. Nonlocal Anisotropic Discrete Regularization for Image, Data Filtering and Clustering. 2007. 〈hal-00187165v2〉

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