On Higher Order Voronoi Diagrams of Line Segments

被引：0

作者：

Papadopoulou, Evanthia ^{[1
]}

Zavershynskyi, Maksym ^{[1
]}

机构：

[1] Univ Svizzera Italiana, Fac Informat, Lugano, Switzerland

来源：

ALGORITHMS AND COMPUTATION, ISAAC 2012 | 2012年 / 7676卷

关键词：

computational geometry; Voronoi diagrams; line segments; higher order Voronoi diagrams; PLANE; SET;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We analyze structural properties of the order-k Voronoi diagram of line segments, which surprisingly has not received any attention in the computational geometry literature. We show that order-k Voronoi regions of line segments may be disconnected; in fact a single order-k Voronoi region may consist of Omega(n) disjoint faces. Nevertheless, the structural complexity of the order-k Voronoi diagram of non-intersecting segments remains O(k(n -k)) similarly to points. For intersecting line segments the structural complexity remains O(k(n -k)) for k >= n/2.

引用

页码：177 / 186

页数：10

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