A novel theorem on symmetries of 2D images

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

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


A novel theorem linking reflectional symmetry and rotational symmetry of the 2D images has been established. This theorem shows that, for a rotationally symmetric image with K ≥1 fold(s) (K-RS1), its number of reflection-symmetric axes must be either K or zero. To the authors' knowledgeno previous studies have shown the constaint relationship between reflectional symmetry and rotational symmetry. Demonstrations on some typical images have shown the exactness of our novel theorem.

Original languageEnglish
Pages (from-to)1002-1005
Number of pages4
JournalProceedings - International Conference on Pattern Recognition
Issue number3
Publication statusPublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition


Dive into the research topics of 'A novel theorem on symmetries of 2D images'. Together they form a unique fingerprint.

Cite this