A novel theorem on symmetries of 2D images

Dinggang Shen, Horace H S Ip, Eam Khwang Teoh

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

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
Title of host publicationProceedings - International Conference on Pattern Recognition
Pages1002-1005
Number of pages4
Volume15
Edition3
Publication statusPublished - 2000
Externally publishedYes

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Demonstrations

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Vision and Pattern Recognition
  • Hardware and Architecture

Cite this

Shen, D., Ip, H. H. S., & Teoh, E. K. (2000). A novel theorem on symmetries of 2D images. In Proceedings - International Conference on Pattern Recognition (3 ed., Vol. 15, pp. 1002-1005)

A novel theorem on symmetries of 2D images. / Shen, Dinggang; Ip, Horace H S; Teoh, Eam Khwang.

Proceedings - International Conference on Pattern Recognition. Vol. 15 3. ed. 2000. p. 1002-1005.

Research output: Chapter in Book/Report/Conference proceedingChapter

Shen, D, Ip, HHS & Teoh, EK 2000, A novel theorem on symmetries of 2D images. in Proceedings - International Conference on Pattern Recognition. 3 edn, vol. 15, pp. 1002-1005.
Shen D, Ip HHS, Teoh EK. A novel theorem on symmetries of 2D images. In Proceedings - International Conference on Pattern Recognition. 3 ed. Vol. 15. 2000. p. 1002-1005
Shen, Dinggang ; Ip, Horace H S ; Teoh, Eam Khwang. / A novel theorem on symmetries of 2D images. Proceedings - International Conference on Pattern Recognition. Vol. 15 3. ed. 2000. pp. 1002-1005
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