### 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 language | English |
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Title of host publication | National Conference Publication - Institution of Engineers, Australia |

Editors | Anon |

Publisher | IE Aust |

Pages | 1043-1048 |

Number of pages | 6 |

Volume | 2 |

Edition | 94 /9 |

Publication status | Published - 1994 |

Externally published | Yes |

Event | Proceedings of the International Symposium on Information Theory & Its Applications 1994. Part 1 (of 2) - Sydney, Aust Duration: 1994 Nov 20 → 1994 Nov 24 |

### Other

Other | Proceedings of the International Symposium on Information Theory & Its Applications 1994. Part 1 (of 2) |
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City | Sydney, Aust |

Period | 94/11/20 → 94/11/24 |

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

TY - GEN

T1 - Detection of rotationally symmetric shape orientation by fold principal orientation

AU - Shen, Dinggang

AU - Feihu, Qi

PY - 1994

Y1 - 1994

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=0028736406&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028736406&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0028736406

VL - 2

SP - 1043

EP - 1048

BT - National Conference Publication - Institution of Engineers, Australia

A2 - Anon, null

PB - IE Aust

ER -