Stability properties of the Perona-Malik scheme

被引：19
|
作者：
Esedoglu, Selim [1 ]
机构：
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2006年 / 44卷 / 03期
关键词：
computer vision; nonlinear diffusion; Perona-Malik equation;
D O I：
10.1137/S0036142903424817
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Perona - Malik scheme is a numerical technique for denoising digital images without blurring object boundaries ( edges). In general, solutions generated by this scheme do not satisfy a comparison principle. We identify conditions under which two solutions initially ordered remain ordered, and we state ( restricted) comparison principles. These allow us to study stability properties of the scheme. We also explore what these results say in the limit as the discretization size goes to 0.
引用
收藏
页码：1297 / 1313
页数：17
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