Discrete bisector function and Euclidean skeleton in 2D and 3D

被引:56
作者
Couprie, Michel
Coeurjolly, David
Zrour, Rita
机构
[1] Grp ESIEE, Lab A2SI, Inst Gaspard Monge, F-93162 Noisy Le Grand, France
[2] CNRS, LIRIS, F-69622 Villeurbanne, France
[3] LLAIC, F-63172 Aubiere, France
关键词
bisector function; skeleton; euclidean distance transform; voronoi diagram; digital topology; LINEAR-TIME ALGORITHM;
D O I
10.1016/j.imavis.2006.06.020
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We propose a new definition and an algorithm for the discrete bisector function, which is an important tool for analyzing and filtering Euclidean skeletons. We also introduce a new thinning algorithm which produces homotopic discrete Euclidean skeletons. These algorithms, which are valid both in 2D and 313, are integrated in a skeletonization method which is based on exact transformations, allows the filtering of skeletons, and is computationally efficient. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:1543 / 1556
页数:14
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