The Hausdorff distance between compact convex sets
作者:
P. McMullen,
期刊:
Mathematika
(WILEY Available online 1984)
卷期:
Volume 31,
issue 1
页码: 76-82
ISSN:0025-5793
年代: 1984
DOI:10.1112/S0025579300010676
出版商: London Mathematical Society
数据来源: WILEY
摘要:
AbstractIt is shown that every compact convex set inEnwith mean width equal to that of a line segment of length 2 and with Steiner point at the origin is contained in the unit ball. As a consequence, the diameter with respect to the Hausdorff metric of the space of all such sets is 1. There also results a sharp bound for the Hausdorff distance between any two compact convex sets.
点击下载:
PDF
(299KB)
返 回