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arXiv · 1605.03721

Cross-diffusion systems for image processing: II. The nonlinear case

A. Araújo·S. Barbeiro·E. Cuesta·A. Durán
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Abstract

In this paper the use of nonlinear cross-diffu\-sion systems to model image restoration is investigated, theoretically and numerically. In the first case, well-posedness, scale-space properties and long time behaviour are analyzed. From a numerical point of view, a computational study of the performance of the models is carried out, suggesting their diversity and potentialities to treat image filtering problems. The present paper is a continuation of a previous work of the same authors, devoted to linear cross-diffusion models. \keywords{Cross-diffusion \and Complex diffusion \and Image restoration}

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A. Araújo, S. Barbeiro, E. Cuesta, A. Durán. 2017-02-19. Cross-diffusion systems for image processing: II. The nonlinear case. https://arxiv.org/abs/1605.03721

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