A MORPHOLOGICAL SCHEME FOR MEAN-CURVATURE MOTION AND APPLICATIONS TO ANISOTROPIC DIFFUSION AND MOTION OF LEVEL SETS

被引：71

作者：

CATTE, F ^{[1
]}

DIBOS, F ^{[1
]}

KOEPFLER, G ^{[1
]}

机构：

[1] UNIV PARIS 05,UFR MATH & INFORMAT,F-75270 PARIS 06,FRANCE

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1995年 / 32卷 / 06期

关键词：

IMAGE PROCESSING; MORPHOLOGICAL FILTERS; MEAN CURVATURE MOTION PDE; VISCOSITY SOLUTIONS;

D O I：

10.1137/0732085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces a discrete scheme for mean curvature motion using a morphological image processing approach. An axiomatic approach of image processing and the mean curvature partial differential equation (PDE) are briefly presented, then the properties of the proposed scheme are studied. In particular, consistency and convergence are proved. The applications of mean curvature motion in image denoising and form evolution are developed and experiences are presented.

引用

页码：1895 / 1909

页数：15

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