Comptes Rendus
no. 5
Partial Differential Equations/Calculus of Variations
Image restoration and edge detection by topological asymptotic expansion
[Restauration d'images et détection de contours par l'asymptotique topologique]

Présenté par : Pierre-Louis Lions

Lamia Jaafar Belaid1 ; Mohamed Jaoua1, 2 ; Mohamed Masmoudi3 ; Lassaad Siala1
1 LAMSIN-ENIT, École Nationale d'Ingénieurs de Tunis, B.P. 37, 1002 Le Belvedere, Tunis, Tunisia
2 Université de Nice, parc Valrose, 28, avenue Valrose, 06108 Nice cedex 2, France
3 UMR MIG, Université Paul-Sabatier, CNRS UMR 5640 MIP, 31062 Toulouse cedex 9, France
Comptes Rendus. Mathématique, Volume 342 (2006) no. 5, pp. 313-318.

Une nouvelle méthode de restauration d'images avec détection de contours est proposée. Cette méthode est basée sur l'approche du gradient topologique. Des résultats expérimentaux obtenus sur des images bruitées illustrent les possibilités de cette approche prometteuse dans le domaine du traîtement d'images.

A new method for edge detection and image restoration is proposed. This method is based on topological gradient approach. Experimental results obtained on noisy images illustrate the capabilities of this promising method in image processing.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.12.009

Lamia Jaafar Belaid 1 ; Mohamed Jaoua 1, 2 ; Mohamed Masmoudi 3 ; Lassaad Siala 1

1 LAMSIN-ENIT, École Nationale d'Ingénieurs de Tunis, B.P. 37, 1002 Le Belvedere, Tunis, Tunisia
2 Université de Nice, parc Valrose, 28, avenue Valrose, 06108 Nice cedex 2, France
3 UMR MIG, Université Paul-Sabatier, CNRS UMR 5640 MIP, 31062 Toulouse cedex 9, France 
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Lamia Jaafar Belaid; Mohamed Jaoua; Mohamed Masmoudi; Lassaad Siala. Image restoration and edge detection by topological asymptotic expansion. Comptes Rendus. Mathématique, Volume 342 (2006) no. 5, pp. 313-318. doi : 10.1016/j.crma.2005.12.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.12.009/

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