Robust skeletonization using the discrete λ-medial axis

被引:32
|
作者
Chaussard, John [1 ]
Couprie, Michel [1 ]
Talbot, Hugues [1 ]
机构
[1] Univ Paris Est, LIGM, Equipe A3SI, ESIEE Paris, Paris, France
关键词
Skeleton; Image analysis; Shape analysis; Medial axis; lambda-medial axis; Stability; EUCLIDEAN DISTANCE TRANSFORMATION; LINEAR-TIME; SIMPLE POINTS; 3D; ALGORITHMS; EXTRACTION; IMAGE; 2D;
D O I
10.1016/j.patrec.2010.09.002
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Medial axes and skeletons are notoriously sensitive to contour irregularities. This lack of stability is a serious problem for applications in e.g. shape analysis and recognition. In 2005, Chazal and Lieutier introduced the lambda-medial axis as a new concept for computing the medial axis of a shape subject to single parameter filtering. The lambda-medial axis is stable under small shape perturbations, as proved by these authors. In this article, a discrete lambda-medial axis (DLMA) is introduced and compared with the recently introduced integer medial axis (GIMA). We show that DLMA provides measurably better results than GIMA, with regard to stability and sensibility to rotations. We give efficient algorithms to compute the DLMA, and we also introduce a variant of the DLMA which may be computed in linear-time. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:1384 / 1394
页数:11
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