Voronoi diagram in 3-d hyperbolic space

被引：0

作者：

Nilforoushan, Z. ^{[1
]}

Mohades, A. ^{[1
]}

Laleh, A. ^{[1
]}

Rezaii, M. M. ^{[1
]}

机构：

[1] Amir Kabir Univ Technol, Fac Math & Comp Sci, Tehran, Iran

来源：

RECENT PROGRESS IN COMPUTATIONAL SCIENCES AND ENGINEERING, VOLS 7A AND 7B | 2006年 / 7A-B卷

关键词：

3-D hyperbolic upper half-space; geodesic; incremental algorithm; Riemannian metric; Voronoi diagram;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Voronoi diagrams have proven to be useful structures in various fields and are one of the most fundamental concepts in computational geometry. In this paper we are interested in the Voronoi diagram of a set of points in the 3-D hyperbolic upper half-space. We first present some lemmas in 3-D hyperbolic upper half-space and then give an incremental algorithm to construct Voronoi diagram in polynomial time.

引用

页码：149 / 152

页数：4

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