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Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II

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Date
1992
Dewey
Probabilités et mathématiques appliquées
Sujet
mean curvature motion of level sets; image restoration; viscosity solutions; multiscale vision models
Journal issue
SIAM Journal on Numerical Analysis
Volume
29
Number
3
Publication date
1992
Article pages
845-866
Publisher
SIAM
DOI
http://dx.doi.org/10.1137/0729052
URI
https://basepub.dauphine.fr/handle/123456789/14445
Collections
  • CEREMADE : Publications
Metadata
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Author
Alvarez, Luis
Lions, Pierre-Louis
Morel, Jean-Michel
Type
Article accepté pour publication ou publié
Abstract (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.

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