Detection of rotationally symmetric shape orientation by fold principal orientation

Dinggang Shen, Qi Feihu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A systematic method, called fold principal orientation (FPO), is proposed to detect the orientation of rotationally symmetric shape. A K-fold rotationally symmetric shape (K-RSS), f(r,Θ), being angularly periodic with period 2π/K, is proved to have the property: f(r,Θ) = g(r,KΘ), where g(r,Θ) is called a fold-expanded shape. With this property, the orientation of f(r,Θ) can be detected through defining the orientation of g(r,Θ). A series of complicated situations about the fold-expanded shape, g(r,Θ), are investigated in this paper. An algorithm describing the construction of FPO and several illustrative examples showing the detected principal orientation of distinct types are given. The method proposed is also compared with fold principal axes (FPA) and fold-invariant shape-specific points (FISSP).

Original languageEnglish
Title of host publicationNational Conference Publication - Institution of Engineers, Australia
Editors Anon
PublisherIE Aust
Pages1043-1048
Number of pages6
Volume2
Edition94 /9
Publication statusPublished - 1994
Externally publishedYes
EventProceedings of the International Symposium on Information Theory & Its Applications 1994. Part 1 (of 2) - Sydney, Aust
Duration: 1994 Nov 201994 Nov 24

Other

OtherProceedings of the International Symposium on Information Theory & Its Applications 1994. Part 1 (of 2)
CitySydney, Aust
Period94/11/2094/11/24

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Shen, D., & Feihu, Q. (1994). Detection of rotationally symmetric shape orientation by fold principal orientation. In Anon (Ed.), National Conference Publication - Institution of Engineers, Australia (94 /9 ed., Vol. 2, pp. 1043-1048). IE Aust.

Detection of rotationally symmetric shape orientation by fold principal orientation. / Shen, Dinggang; Feihu, Qi.

National Conference Publication - Institution of Engineers, Australia. ed. / Anon. Vol. 2 94 /9. ed. IE Aust, 1994. p. 1043-1048.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Shen, D & Feihu, Q 1994, Detection of rotationally symmetric shape orientation by fold principal orientation. in Anon (ed.), National Conference Publication - Institution of Engineers, Australia. 94 /9 edn, vol. 2, IE Aust, pp. 1043-1048, Proceedings of the International Symposium on Information Theory & Its Applications 1994. Part 1 (of 2), Sydney, Aust, 94/11/20.
Shen D, Feihu Q. Detection of rotationally symmetric shape orientation by fold principal orientation. In Anon, editor, National Conference Publication - Institution of Engineers, Australia. 94 /9 ed. Vol. 2. IE Aust. 1994. p. 1043-1048
Shen, Dinggang ; Feihu, Qi. / Detection of rotationally symmetric shape orientation by fold principal orientation. National Conference Publication - Institution of Engineers, Australia. editor / Anon. Vol. 2 94 /9. ed. IE Aust, 1994. pp. 1043-1048
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