Image restoration using a reaction-diffusion process

Image restoration using a reaction-diffusion process

This study shows how partial differential equations can be employed to restore a digital image. It is in fact a generalization of the work presented by Catte [12], which modify the Perona-Malik Model by nonlinear diffusion. We give a demonstration of the consistency of the reaction-diffusion model p...

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Veröffentlicht in:Electronic journal of differential equations 2014-09, Vol.2014 (197), p.1-12
Hauptverfasser: Noureddine Alaa, Mohammed Aitoussous, Walid Bouarifi, Djemaia Bensikaddour
Format: Artikel
Sprache:eng
Schlagworte:
angiogenesis
chemotaxis
Degenerate elliptic systems
quasilinear
weak solutions
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Zusammenfassung:This study shows how partial differential equations can be employed to restore a digital image. It is in fact a generalization of the work presented by Catte [12], which modify the Perona-Malik Model by nonlinear diffusion. We give a demonstration of the consistency of the reaction-diffusion model proposed in our work.
ISSN:1072-6691