浮体与凸体的多面体逼近

IF 1.3 Q2 STATISTICS & PROBABILITY Probability Surveys Pub Date : 2022-01-01 DOI:10.1214/22-ps5

E. Werner

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引用次数: 1

摘要

：我们描述了用多面体逼近凸体的一些结果。考虑并比较了最佳近似和随机近似。在这种近似问题中自然出现的与凸体相关的几何量是有效表面积。这些，以及它们与漂浮体的关系，也将被讨论。在这项调查中，我们只给出了一组非常有选择的关于多面体近似的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Floating bodies and approximation of convex bodies by polytopes

: We describe some results on approximation of convex bodies by polytopes. Best and random approximations are considered and compared. The geometric quantities related to the convex body, that appear naturally in such approximation questions are the aﬃne surface areas. Those, and their relation to ﬂoating bodies, will be discussed as well. In this survey we give only a very selective collection of results on ap- proximation by polytopes.

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