Aspects of total variation regularized L1 function approximation

被引：476

作者：

Chan, TF ^{[1
]}

Esedoglu, S ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2005年 / 65卷 / 05期

关键词：

total variation; denoising; scale space;

D O I：

10.1137/040604297

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The total variation-based image denoising model of Rudin, Osher, and Fatemi [Phys. D, 60, (1992), pp. 259-268] has been generalized and modified in many ways in the literature; one of these modi. cations is to use the L-1-norm as the fidelity term. We study the interesting consequences of this modi. cation, especially from the point of view of geometric properties of its solutions. It turns out to have interesting new implications for data-driven scale selection and multiscale image decomposition.

引用

页码：1817 / 1837

页数：21

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