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