A relation between apparent and real angles in perspective projection is applied to the 3D 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 3D configuration recovery from three arbitrary line segments in the image plane. This recovery corresponds to a generalization of the rightangled 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 rightangled interpretation problem are obtained by solving a quadratic equation.
Original language  English 

Pages  594601 

Number of pages  8 

Publication status  Published  1986 

Externally published  Yes 

 perspective angle transform
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@conference{3f9019186a454088a78c3600be195e33,
title = "Perspective angle trnsform and its application to 3D configuration recovery",
abstract = "A relation between apparent and real angles in perspective projection is applied to the 3D 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 3D configuration recovery from three arbitrary line segments in the image plane. This recovery corresponds to a generalization of the rightangled 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 rightangled interpretation problem are obtained by solving a quadratic equation.",
keywords = "perspective angle transform",
author = "Takeshi Shakunaga and Hiroshi Kaneko",
year = "1986",
language = "English",
pages = "594601",
}
TY  CONF
T1  Perspective angle trnsform and its application to 3D 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 3D 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 3D configuration recovery from three arbitrary line segments in the image plane. This recovery corresponds to a generalization of the rightangled 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 rightangled interpretation problem are obtained by solving a quadratic equation.
AB  A relation between apparent and real angles in perspective projection is applied to the 3D 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 3D configuration recovery from three arbitrary line segments in the image plane. This recovery corresponds to a generalization of the rightangled 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 rightangled 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 