Voronoi Diagram in Simply Connected Complete Manifold
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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.
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- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.5 pp.944-948
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- 2002/05/01
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- Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
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Kensuke ONISHI, Jin-ichi ITOH, "Voronoi Diagram in Simply Connected Complete Manifold" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 5, pp. 944-948, May 2002, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_5_944/_p
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@ARTICLE{e85-a_5_944,
author={Kensuke ONISHI, Jin-ichi ITOH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Voronoi Diagram in Simply Connected Complete Manifold},
year={2002},
volume={E85-A},
number={5},
pages={944-948},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Voronoi Diagram in Simply Connected Complete Manifold
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 944
EP - 948
AU - Kensuke ONISHI
AU - Jin-ichi ITOH
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2002
AB - 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.
ER -
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