Constraint relationship for reflectional symmetry and rotational symmetry

D. Shen; H. H.S. Ip; E. K. Teoh

doi:10.1117/1.1407264

Constraint relationship for reflectional symmetry and rotational symmetry

D. Shen, H. H.S. Ip, E. K. Teoh

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	998-1002
Number of pages	5
Journal	Journal of Electronic Imaging
Volume	10
Issue number	4
DOIs	https://doi.org/10.1117/1.1407264
Publication status	Published - 2001 Oct
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Computer Science Applications
Electrical and Electronic Engineering

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10.1117/1.1407264

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abstract = "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.",

author = "D. Shen and Ip, {H. H.S.} and Teoh, {E. K.}",

note = "Funding Information: This work is partially supported by a HKSAR Research Grant Council, CERG Grant No. 9040437/CityU 1113/99E.",

year = "2001",

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AU - Teoh, E. K.

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N2 - 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.

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Constraint relationship for reflectional symmetry and rotational symmetry

Abstract

ASJC Scopus subject areas

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