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Image Selective Smoothing and Edge Detection by Nonlinear Diffusion

Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu (1992), Image Selective Smoothing and Edge Detection by Nonlinear Diffusion, SIAM Journal on Numerical Analysis, 29, 1, p. 182-193. http://dx.doi.org/10.1137/0729012

Type
Article accepté pour publication ou publié
Date
1992
Journal name
SIAM Journal on Numerical Analysis
Volume
29
Number
1
Publisher
SIAM
Pages
182-193
Publication identifier
Metadata
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Author(s)
Catté, Francine
Lions, Pierre-Louis
Morel, Jean-Michel
Coll, Tomeu
Abstract (EN)
A new version of the Perona and Malik theory for edge detection and image restoration is proposed. This new version keeps all the improvements of the original model and avoids its drawbacks: it is proved to be stable in presence of noise, with existence and uniqueness results. Numerical experiments on natural images are presented.
Subjects / Keywords
multiscale image analysis; edge detection; parabolic equation; nonlinear diffusion; stability