Edge detection and image restoration with anisotropic topological gradient

Stanislas Larnier (1) , Jérôme Fehrenbach (1)

1 MIP - Mathématiques pour l'Industrie et la Physique

Topological asymptotic analysis provides tools to detect edges and their orientation. The purpose of this article is to show the possibilities of anisotropic topological gradient in image restoration. Previous methods based on the topological gradient used isotropic diffusion to restore images. These methods are improved here by using anisotropic diffusion and differentiating between principal and secondary edges. A texture detector is also used to increase the diffusion outside textured regions. Numerical results are presented, including a comparison with the Non-Local Means method. The algorithms presented here lead to results similar to the Non-Local Means (in terms of quality), and shorter processing times.

Mots clés: Edge detection; Topological gradient; Image restoration; Anisotropic diffusion

Domaines: Traitement des images [eess.IV]

Stanislas Larnier, Jérôme Fehrenbach. Edge detection and image restoration with anisotropic topological gradient. ICASSP 2010: International Conference on Acoustics, Speech, and Signal Processing, Mar 2010, Dallas, United States. pp.1362-1365, ⟨10.1109/ICASSP.2010.5495448⟩. ⟨hal-01333753⟩