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Projective Transformations

  • Robert Goldblatt
Part of the Universitext book series (UTX)

Abstract

This chapter develops an alternative method of coordinating a metric affine plane, by embedding it into a projective plane, and using the orthogonality relation to define a matrix-representable transformation on the line at infinity. The construction will be central to our subsequent treatment of metric affine spaces of higher dimension, and its description now requires us to review a substantial body of additional ideas.

Keywords

Projective Plane Projective Transformation Orthogonality Relation Linear Fractional Transformation Collinear Point 
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-Verlag New York Inc. 1987

Authors and Affiliations

  • Robert Goldblatt
    • 1
  1. 1.Department of MathematicsVictoria UniversityWellingtonNew Zealand

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