Weighted Projective Spaces and a Generalization of Eves’ Theorem

  • Adam Coffman
  • Published 2013 in Journal of Mathematical Imaging and Vision

Abstract

For a certain class of configurations of points in space, Eves’ Theorem gives a ratio of products of distances that is invariant under projective transformations, generalizing the cross-ratio for four points on a line. We give a generalization of Eves’ theorem, which applies to a larger class of configurations and gives an invariant with values in a… (More)
DOI: 10.1007/s10851-013-0417-8

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