Constraint relationship for reflectional symmetry and rotational symmetry

Dinggang Shen; Horace H. S. Ip; Eam-Khwang Teoh

doi:10.1117/1.1407264

1 October 2001 Constraint relationship for reflectional symmetry and rotational symmetry

Dinggang Shen, Horace H. S. Ip, Eam-Khwang Teoh

Journal of Electronic Imaging, Vol. 10, Issue 4, (October 2001). https://doi.org/10.1117/1.1407264

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 K?1 fold(s) (K-RSI), its number of reflection-symmetric axes must be either K 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.

©(2001) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Dinggang Shen, Horace H. S. Ip, and Eam-Khwang Teoh "Constraint relationship for reflectional symmetry and rotational symmetry," Journal of Electronic Imaging 10(4), (1 October 2001). https://doi.org/10.1117/1.1407264

Published: 1 October 2001

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