Chapter 1: Invited Addresses and Tutorials on Signals, Coding,
  Systems and Intelligent Techniques

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 | University of Illes Balears, Palma de Mallorca 07122 Spain | University of Illes Balears, Palma de Mallorca 07122 Spain

Reference: 12th International Workshop on Systems, Signals and Image Processing 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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