Symmetries of 1-D images

被引：5
|
作者：
Griffin, Lewis D. [1 ]
机构：
[1] UCL, Dept Comp Sci, London WC1E 6BT, England
来源：
JOURNAL OF MATHEMATICAL IMAGING AND VISION | 2008年 / 31卷 / 2-3期
关键词：
image structure; group theory; visual perception; image features;
D O I：
10.1007/s10851-008-0078-1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The possible automorphism groups of scalar functions of a one-dimensional Euclidean domain are presented. The groups are determined relative to a class of transformations that allow an isometry of the function domain, simultaneous with a separate isometry of the function co-domain. Ten non-trivial automorphism groups are found. Seven of these are related to five of the seven Frieze groups.
引用
收藏
页码：157 / 164
页数：8
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