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.
| Original language | English |
|---|
| Pages | 594-601 |
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| Number of pages | 8 |
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| Publication status | Published - 1986 |
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| Externally published | Yes |
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- perspective angle transform
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@conference{3f9019186a454088a78c3600be195e33,
title = "Perspective angle trnsform and its application to 3-D configuration recovery",
abstract = "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.",
keywords = "perspective angle transform",
author = "Takeshi Shakunaga and Hiroshi Kaneko",
year = "1986",
language = "English",
pages = "594--601",
}
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 -