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Homogeneous Coordinates

  • Fujio Yamaguchi

Abstract

Hompogeneous coordinates were used when proving theorems in projective geometry. An n-dimensional problem has corresponding to it an (n+1)-dimensional problem, and in most cases the (n+1)-dimensional problem is more easily solved than the n-dimensional one. Thus, by projecting the result of the (n+1)dimensional case, one can obtain the result for the n-dimensional case [40]. With homogeneous coordinates, points at infinity can be treated in the same manner as points at finite distances.

Keywords

Projective Space Ideal Point Dimensional Problem Projective Geometry Euclidean Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Japan 2002

Authors and Affiliations

  • Fujio Yamaguchi
    • 1
  1. 1.Department of Mechanical Engineering School of Science and EngineeringWaseda UniversityTokyoJapan

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