Homogeneous Coordinates

  • Fujio Yamaguchi


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.


Projective Space Ideal Point Dimensional Problem Projective Geometry Euclidean Plane 
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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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