Sur un modèle non-linéaire pour le débruitage de l'image

R. Aboulaich; S. Boujena; E. El Guarmah

doi:10.1016/j.crma.2007.09.009

Équations aux dérivées partielles/Analyse numérique

Sur un modèle non-linéaire pour le débruitage de l'image

Présenté par : Philippe G. Ciarlet

R. Aboulaich ¹ ; S. Boujena ² ; E. El Guarmah ¹

¹ LERMA, École Mohammadia d'Ingénieurs, Université Mohamed V, avenue Ibn Sina, PB 765 Agdal, Rabat, Maroc
² Département de mathématiques et informatique, Faculté des Sciences Ain Chock, Km8 Route El Jadida, BP 5366 Maârif, Casablanca, Maroc

Comptes Rendus. Mathématique, Volume 345 (2007) no. 8, pp. 425-429.

Résumé
Abstract

Ce travail porte sur l'étude mathématique d'un modèle évolutif d'équations aux dérivées partielles non-linéaires qui sera utilisé pour le débruitage de l'image. L'existence et l'unicité de la solution sont établies, le modèle est ensuite testé numériquement.

Le rapport du signal à bruit (SNR) est utilisé pour estimer la qualité des images restaurées.

This work deals with a mathematical study for a proposed non-linear evolution partial differential equations model for image processing. The existence and the uniqueness of the solution are established, the model is numerically tested.

The Signal to Noise Ratio (SNR) number is used to estimate the quality of the restored images.

Reçu le : 2007-06-29
Accepté le : 2007-09-12
Publié le : 2007-10-15

DOI : 10.1016/j.crma.2007.09.009

Affiliations des auteurs :

R. Aboulaich ¹ ; S. Boujena ² ; E. El Guarmah ¹

¹ LERMA, École Mohammadia d'Ingénieurs, Université Mohamed V, avenue Ibn Sina, PB 765 Agdal, Rabat, Maroc
² Département de mathématiques et informatique, Faculté des Sciences Ain Chock, Km8 Route El Jadida, BP 5366 Maârif, Casablanca, Maroc

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R. Aboulaich; S. Boujena; E. El Guarmah. Sur un modèle non-linéaire pour le débruitage de l'image. Comptes Rendus. Mathématique, Volume 345 (2007) no. 8, pp. 425-429. doi : 10.1016/j.crma.2007.09.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.09.009/

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