New diffusion models in image processing

Authors:
R. Aboulaich;D. Meskine;A. Souissi
Affiliations:
LERMA, Ecole Mohammadia d'Ingénieurs, Avenue Ibn Sina, B.P. 765, Rabat-Agdal, Morocco;LERMA, Ecole Mohammadia d'Ingénieurs, Avenue Ibn Sina, B.P. 765, Rabat-Agdal, Morocco and Ecole Supérieure de Technologie, Essaouira El Jadida, B.P. 383 Essaouira, Morocco and LMA, GAN, ...;LERMA, Ecole Mohammadia d'Ingénieurs, Avenue Ibn Sina, B.P. 765, Rabat-Agdal, Morocco and LMA, GAN, Université Mohammed V-Agdal, Faculté des sciences, Département de Mathé ...
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

We give some diffusion models which can be used for restoration in image processing. The proposed model is a combination of fast growth with respect to low gradient and slow growth when the gradient is large. The existence theorem for solutions and some numerical results are given.