Ball-polyhedra

被引：66
作者：
Bezdek, Karoly [1 ]
Langi, Zsolt [1 ]
Naszodi, Marton [1 ]
Papez, Peter [1 ]
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2007年 / 38卷 / 02期
关键词：
D O I：
10.1007/s00454-007-1334-7
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study two notions. One is that of spindle convexity. A set of circumradius not greater than one is spindle convex if, for any pair of its points, it contains every short circular arc of radius at least one, connecting them. The other objects of study are bodies obtained as intersections of finitely many balls of the same radius, called ball-polyhedra. We find analogues of several results on convex polyhedral sets for ball-polyhedra.
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页码：201 / 230
页数：30
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