Image smoothing and segmentation by graph regularization

Authors:
Sébastien Bougleux;Abderrahim Elmoataz
Affiliations:
GREYC CNRS UMR 6072, ENSICAEN, Caen, France;LUSAC, Site Universitaire, Cherbourg-Octeville, France
Venue:
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Year:
2005

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Abstract

We propose a discrete regularization framework on weighted graphs of arbitrary topology, which leads to a family of nonlinear filters, such as the bilateral filter or the TV digital filter. This framework, which minimizes a loss function plus a regularization term, is parameterized by a weight function defined as a similarity measure. It is applicable to several problems in image processing, data analysis and classification. We apply this framework to the image smoothing and segmentation problems.