Constraint relationship for reflectional symmetry and rotational symmetry

A novel theorem linking reflectional symmetry and rotational symmetry has been established in this paper. This theorem constrains that, for a rotationally symmetric image with fold(s) ( -RSI), its number of reflection-symmetric axes must be either or zero. The novel constraint theorem provides the g...

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Bibliographic Details
Published in:Journal of electronic imaging 2001-10, Vol.10 (4), p.998-1002
Main Authors: Shen, Dinggang, Ip, Horace H. S, Teoh, Eam Khwang
Format: Article
Language:English
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Summary:A novel theorem linking reflectional symmetry and rotational symmetry has been established in this paper. This theorem constrains that, for a rotationally symmetric image with fold(s) ( -RSI), its number of reflection-symmetric axes must be either or zero. The novel constraint theorem provides the guidance for the procedure of symmetry detection. It has been demonstrated by the experiments included in this paper. ©
ISSN:1017-9909
1560-229X
DOI:10.1117/1.1407264