### Abstract

This paper derives the perspective angle transform as a relation between the angle in the three-dimensional space and its perspective projection. The properties of the transform are discussed, together with its application to the scene interpretation. A problem is considered in which the gradient information should be recovered for three segments separated in the three-dimensional space. An algebraic solution is shown. The solution is determined using the concept of virtual intersection and the perspective angle transform, based on the perspective moving coordinate.

Original language | English |
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Pages (from-to) | 65-76 |

Number of pages | 12 |

Journal | Systems and Computers in Japan |

Volume | 19 |

Issue number | 9 |

Publication status | Published - Sep 1988 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Hardware and Architecture
- Information Systems
- Theoretical Computer Science

### Cite this

*Systems and Computers in Japan*,

*19*(9), 65-76.

**Perspective angle transform - shape from angle.** / Shakunaga, Takeshi; Kaneko, Hiroshi.

Research output: Contribution to journal › Article

*Systems and Computers in Japan*, vol. 19, no. 9, pp. 65-76.

}

TY - JOUR

T1 - Perspective angle transform - shape from angle

AU - Shakunaga, Takeshi

AU - Kaneko, Hiroshi

PY - 1988/9

Y1 - 1988/9

N2 - This paper derives the perspective angle transform as a relation between the angle in the three-dimensional space and its perspective projection. The properties of the transform are discussed, together with its application to the scene interpretation. A problem is considered in which the gradient information should be recovered for three segments separated in the three-dimensional space. An algebraic solution is shown. The solution is determined using the concept of virtual intersection and the perspective angle transform, based on the perspective moving coordinate.

AB - This paper derives the perspective angle transform as a relation between the angle in the three-dimensional space and its perspective projection. The properties of the transform are discussed, together with its application to the scene interpretation. A problem is considered in which the gradient information should be recovered for three segments separated in the three-dimensional space. An algebraic solution is shown. The solution is determined using the concept of virtual intersection and the perspective angle transform, based on the perspective moving coordinate.

UR - http://www.scopus.com/inward/record.url?scp=0024068957&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024068957&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0024068957

VL - 19

SP - 65

EP - 76

JO - Systems and Computers in Japan

JF - Systems and Computers in Japan

SN - 0882-1666

IS - 9

ER -