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arxiv: 1605.02923 · v3 · pith:SNEMKIM4new · submitted 2016-05-10 · 🧮 math.AP

Cross-diffusion systems for image processing: I. The linear case

classification 🧮 math.AP
keywords cross-diffusionsystemsfilteringimagelinearcaseconcerneddifferent
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The use of cross-diffusion systems as mathematical models of different image processes is investigated. The present paper is concerned with linear filtering. First, those systems satisfying the most important scale-space properties are identified. Then a numerical study on the effect of cross-diffusion in filtering problems is presented.

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