Properties of digital homotopy

被引:66
作者
Boxer, L [1 ]
机构
[1] Niagara Univ, Dept Comp & Informat Sci, Lewiston, NY 14109 USA
[2] SUNY Buffalo, Dept Comp Sci & Engn, Buffalo, NY 14260 USA
关键词
digital image; digitally continuous; homeomorphism; retraction; homotopy; fundamental group; digital topology;
D O I
10.1007/s10851-005-4780-y
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Several recent papers have adapted notions of geometric topology to the emerging field of "digital topology." An important notion is that of digital homotopy. In this paper, we study a variety of digitally-continuous functions that preserve homotopy types or homotopy-related properties such as the digital fundamental group.
引用
收藏
页码:19 / 26
页数:8
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