A novel theorem on symmetries of 2D images

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

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Detail(s)

Original languageEnglish
Pages (from-to)1002-1005
Journal / PublicationProceedings - International Conference on Pattern Recognition
Volume15
Issue number3
Publication statusPublished - 2000

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-33746201818&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(e3637dcb-2208-462e-91b3-4cb009302443).html

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. © 2000 IEEE.

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Publication fingerprints text

100
Rotational Symmetry Keyphrases
100
Reflection Symmetry Keyphrases
100
2D Image Keyphrases
100
Images Physics
100
Symmetry Physics
100
Theorem Physics
100
images INIS
100
symmetry INIS
50
Number of Reflectio... Keyphrases
50
Symmetric Axis Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
A novel theorem on symmetries of 2D images. / Shen, Dinggang; Ip, Horace H. S.; Teoh, Eam Khwang.
In: Proceedings - International Conference on Pattern Recognition, Vol. 15, No. 3, 2000, p. 1002-1005.

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal