Electron. J. Diff. Equ.,
Vol. 2014 (2014), No. 197, pp. 1-12.
Image restoration using a reaction-diffusion process
Noureddine Alaa, Mohammed Aitoussous, Walid Bouarifi, Djemaia Bensikaddour
Abstract:
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.
Submitted June 8, 2014. Published September 22, 2014.
Math Subject Classifications: 35J55, 35J60, 35J70.
Key Words: Degenerate elliptic systems; quasilinear; chemotaxis;
angiogenesis; weak solutions.
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Noureddine Alaa
Laboratory LAMAI, Faculty of Science and Technology of Marrakech
University Cadi Ayyad, B.P. 549
Street Abdelkarim Elkhattabi,
Marrakech - 40000, Morocco
email: n.alaa@uca.ma
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Mohammed Aitoussous
Laboratory LAMAI,
Faculty of Science and Technology of Marrakech
University Cadi Ayyad, B.P. 549
Street Abdelkarim Elkhattabi, Marrakech - 40000, Morocco
email: aitoussous.med@gmail.com
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Walid Bouarifi
Department of Computer Engineering
National School of Applied Sciences of Safi
Cadi Ayyad University
Sidi Bouzid, BP 63, Safi - 46000, Morocco
email: w.bouarifi@uca.ma
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Djemaa Bensikaddour
Department of Mathematics
University of Mostaganem, Algeria
email: bensikaddour@yahoo.fr
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