### Abstract

Original language | English |
---|---|

Pages | 594-601 |

Number of pages | 8 |

Publication status | Published - 1986 |

Externally published | Yes |

### Fingerprint

### Keywords

- perspective angle transform

### ASJC Scopus subject areas

- Computer Science(all)

### Cite this

*Perspective angle trnsform and its application to 3-D configuration recovery*. 594-601.

**Perspective angle trnsform and its application to 3-D configuration recovery.** / Shakunaga, Takeshi; Kaneko, Hiroshi.

Research output: Contribution to conference › Paper

}

TY - CONF

T1 - Perspective angle trnsform and its application to 3-D configuration recovery

AU - Shakunaga, Takeshi

AU - Kaneko, Hiroshi

PY - 1986

Y1 - 1986

N2 - A relation between apparent and real angles in perspective projection is applied to the 3-D configuration recovery from images. The relation, called a perspective angle transform (PAT) is extracted using a new type of coordinate system. The properties of the perspective angle transform are also discussed, as is 3-D configuration recovery from three arbitrary line segments in the image plane. This recovery corresponds to a generalization of the right-angled interpretation problem proposed and discussed by S. T. Barnard (1980). A geometric and algebraic solution of the problem, using the general PAT form in conjunction with the concept of virtual crossing point, is given. Algebraic solutions for the right-angled interpretation problem are obtained by solving a quadratic equation.

AB - A relation between apparent and real angles in perspective projection is applied to the 3-D configuration recovery from images. The relation, called a perspective angle transform (PAT) is extracted using a new type of coordinate system. The properties of the perspective angle transform are also discussed, as is 3-D configuration recovery from three arbitrary line segments in the image plane. This recovery corresponds to a generalization of the right-angled interpretation problem proposed and discussed by S. T. Barnard (1980). A geometric and algebraic solution of the problem, using the general PAT form in conjunction with the concept of virtual crossing point, is given. Algebraic solutions for the right-angled interpretation problem are obtained by solving a quadratic equation.

KW - perspective angle transform

UR - http://www.scopus.com/inward/record.url?scp=0022566244&partnerID=8YFLogxK

M3 - Paper

SP - 594

EP - 601

ER -