Anisotropic Cheeger Sets and Applications

被引：35

作者：

Caselles, Vicent ^{[1
]}

Facciolo, Gabriele ^{[1
]}

Meinhardt, Enric ^{[1
]}

机构：

[1] Univ Pompeu Fabra, Dept Tecnol, Barcelona 08018, Spain

来源：

SIAM JOURNAL ON IMAGING SCIENCES | 2009年 / 2卷 / 04期

关键词：

Cheeger sets; anisotropic total variation; active contours; edge linking; TOTAL VARIATION MINIMIZATION; TOTAL VARIATION FLOW; ACTIVE CONTOURS; EDGE-DETECTION; CONVEX BODY; APPROXIMATION; SEGMENTATION; UNIQUENESS; MODELS; PLANE;

D O I：

10.1137/08073696X

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The main purpose of this paper is to develop the mathematical analysis of anisotropic total variation problems with a degenerate metric and the computation of the associated Cheeger sets. We illustrate our analysis with the computation of Cheeger sets with respect to different anisotropic norms of relevance in applications to image processing. In particular, we describe the computation of global minima of geodesic active contour models, and we illustrate the use of Cheeger sets for the problem of edge linking.

引用

页码：1211 / 1254

页数：44

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