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 mod...

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Bibliographic Details
Main Authors: Noureddine Alaa, Mohammed Aitoussous, Walid Bouarifi, Djemaia Bensikaddour
Format: Article
Language:English
Published: Texas State University 2014-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Degenerate elliptic systems
quasilinear
chemotaxis
angiogenesis
weak solutions
Online Access:http://ejde.math.txstate.edu/Volumes/2014/197/abstr.html
Description
Summary: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

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