IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION .2.

被引：757

作者：

ALVAREZ, L ^{[1
]}

LIONS, PL ^{[1
]}

MOREL, JM ^{[1
]}

机构：

[1] UNIV PARIS 09,CEREMADE,F-75775 PARIS 16,FRANCE

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 03期

关键词：

MEAN CURVATURE MOTION OF LEVEL SETS; IMAGE RESTORATION; VISCOSITY SOLUTIONS; MULTISCALE VISION MODELS;

D O I：

10.1137/0729052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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(infinity) 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.

引用

页码：845 / 866

页数：22

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