SOME EXTENSIONS OF THE CLASS OF k-CONVEX BODIES

被引：1
|
作者：
Golubyatnikov, V. P. [1 ]
Rovenski, V. Yu. [2 ]
机构：
[1] Sobolev Inst Math, Novosibirsk, Russia
[2] Univ Haifa, IL-31999 Haifa, Israel
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 05期
关键词：
k-convex body; k-visible body; supporting ball; circular projection; visual hull; geometric tomography; VISUAL HULLS; PROJECTIONS; SETS;
D O I：
10.1007/s11202-009-0092-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study interrelations between some classes of bodies in Euclidean spaces. We introduce circular projections in normed linear spaces and the classes of bodies related with some families of these projections. Investigation of these bodies more general than k-convex and k-visible bodies allows us to generalize some classical results of geometric tomography and find their new applications.
引用
收藏
页码：820 / 829
页数：10
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