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Comptes Rendus Mathématique
Volume 345, n° 8
pages 425-429 (octobre 2007)
Doi : 10.1016/j.crma.2007.09.009
Received : 29 June 2007 ;  accepted : 12 September 2007
Sur un modèle non-linéaire pour le débruitage de lʼimage
On a non-linear model for image noise reduction
 

R. Aboulaich a , S. Boujena b , E. El Guarmah a
a LERMA, École Mohammadia dʼIngénieurs, Université Mohamed V, avenue Ibn Sina, PB 765 Agdal, Rabat, Maroc 
b Département de mathématiques et informatique, Faculté des Sciences Ain Chock, Km8 Route El Jadida, BP 5366 Maârif, Casablanca, Maroc 

Résumé

Ce travail porte sur lʼétude mathématique dʼun modèle évolutif dʼéquations aux dérivées partielles non-linéaires qui sera utilisé pour le débruitage de lʼimage. Lʼexistence et lʼunicité 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. Pour citer cet article : R. Aboulaich et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.
Abstract

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. To cite this article: R. Aboulaich et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.


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