Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II

Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel

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

Journal name

SIAM Journal on Numerical Analysis

Volume

Number

Publisher

SIAM

Pages

845-866

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.

Subjects / Keywords

mean curvature motion of level sets; image restoration; viscosity solutions; multiscale vision models