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1. Congruent Voronoi tessellations from equiangular lines

Author

Mondal, Bishwarup, Samanta, Roopsha, and Heath, Robert W.

Subjects
*VORONOI polygons, *FUNCTION spaces, *INVARIANT subspaces, *ANGLES
Abstract

Abstract: It is proven that the Voronoi tessellations of the real projective space generated by equiangular lines are congruent. Two implications of this result are mentioned—an equiangular set of lines forms the best N-point representation of an isotropically distributed one-dimensional subspace in terms of mutual information and a subspace quantizer defined by equiangular lines provides equal partial distortion. [Copyright &y& Elsevier]

Published
2007
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