Proceedings of the International Conference
I W S S I P   2005
12th INTERNATIONAL WORKSHOP ON SYSTEMS, SIGNALS & IMAGE PROCESSING

22 - 24 September 2005, Chalkida Greece
 
(from Chapter 1: Invited Addresses and Tutorials on Signals, Coding, Systems and Intelligent Techniques)

 Full Citation and Abstract

0 Title: Color images filtering by anisotropic diffusion
  Author(s): B. Coll, J.L. Lisani, C. Sbert
  Address: University of Illes Balears, Palma de Mallorca 07122 Spain
tomeu.coll @ uib.es, joseluis.lisani @ uib.es, catalina.sbert @ uib.es
  Reference: SSIP-SP1, 2005  pp. 305 - 308
  Abstract/
Summary
In this paper we propose a model of partial differential equations (PDE's) for color images diffusion. The model is based on the hypothesis that the essential 'geometry' of natural color images is contained in the set of level lines of the luminance component. The proposed PDE's perform an anisotropic diffusion of the color components in the orthogonal direction to the gradient of the luminance, thus preserving the edges of the image. Existence and uniqueness of solutions for the model are stated and a numerical scheme for its practical implementation is proposed. Finally, some experiments, including some applications to noise removal, are shown.
 
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