A MODEL AND NUMERICAL SCHEME FOR PROCESSING OF COLOR IMAGES

Zuzana Krivá – Karol Mikula

   We propose a model for processing of RGB images based on regularized (in the sense of Catté, Lions, Morel and Coll) Perona-Malik nonlinear image selective smoothing equation. The model is represented by a system of nonlinear different equations with a common diffusion coefficient given by a synchronization of the information coming from all three channels. For the numerical solution we adjust a finite volume computational method given by Mikula and Ramarosy ([5]) and propose a coarsening strategy to reduce the number of unknowns in the linear system to be solved at each discrete scale step of the method.

Keywords: image processing, RGB image, nonlinear partial differential equations, numerical solution, finite volume

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