Constraint relationship for reflectional symmetry and rotational symmetry

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)998-1002
Journal / PublicationJournal of Electronic Imaging
Issue number4
Publication statusPublished - Oct 2001
Externally publishedYes


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.