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Rigidity of Ball-polyhedra via Truncated Voronoi and Delaunay Complexes

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2 Author(s)
K'roly Bezdek ; Dept. of Math. & Stat., Univ. of Calgary, Calgary, AB, Canada ; M'rton Naszódi

A ball-polyhedron is the intersection with non-empty interior of finitely many (closed) unit balls in Euclidean 3-space. A new result of this paper is a Cauchy-type rigidity theorem for ball-polyhedra. Its proof presented here is based on the underlying truncated Voronoi and Delaunay complexes of ball-polyhedra.

Published in:

Voronoi Diagrams in Science and Engineering (ISVD), 2012 Ninth International Symposium on

Date of Conference:

27-29 June 2012