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Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II

Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel (1992), Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II, SIAM Journal on Numerical Analysis, 29, 3, p. 845-866. http://dx.doi.org/10.1137/0729052

Type
Article accepté pour publication ou publié
Date
1992
Nom de la revue
SIAM Journal on Numerical Analysis
Volume
29
Numéro
3
Éditeur
SIAM
Pages
845-866
Identifiant publication
Métadonnées
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Auteur(s)
Alvarez, Luis
Lions, Pierre-Louis
Morel, Jean-Michel
Résumé (EN)
A stable algorithm is proposed for image restoration based on the “mean curvature motion” equation. Existence and uniqueness of the “viscosity” solution of the equation are proved, a $L^\infty $ stable algorithm is given, experimental results are shown, and the subjacent vision model is compared with those introduced recently by several vision researchers. The algorithm presented appears to be the sharpest possible among the multiscale image smoothing methods preserving uniqueness and stability.
Mots-clés
mean curvature motion of level sets; image restoration; viscosity solutions; multiscale vision models