Digital Jordan curves

被引：35
|
作者：
Slapal, Josef [1 ]
机构：
[1] Tech Univ Brno, Dept Math, Brno 61669, Czech Republic
来源：
TOPOLOGY AND ITS APPLICATIONS | 2006年 / 153卷 / 17期
关键词：
topological space; Alexandroff topology; Marcus topology; Khalimsky topology; Jordan curve; cycle in a graph;
D O I：
10.1016/j.topol.2005.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A digital Jordan curve theorem is proved for a new topology defined on Z(2). This topology is compared with the classical Khalimsky and Marcus topologies used in digital topology. We show that the Jordan curves with respect to the topology defined, unlike the Jordan curves with respect to any of the two classical topologies mentioned, may turn at the acute angle pi/4. We also discuss a quotient topology of the new topology. (C) 2006 Elsevier B.V. All rights reserved.
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页码：3255 / 3264
页数：10
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