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Voronoi Diagram in Simply Connected Complete Manifold

Kensuke ONISHI, Jin-ichi ITOH

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Summary :

In this paper we deal with Voronoi diagram in simply connected complete manifold with non positive curvature, called Hadamard manifold. We prove that a part of the Voronoi diagram can be characterized by hyperbolic Voronoi diagram. Voronoi diagram in simply connected complete manifold is also characterized for a given set of points satisfying a distance condition.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.5 pp.944-948
Publication Date
2002/05/01
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Type of Manuscript
Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
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