The Surface Area Deviation of the Euclidean Ball and a Polytope
The Surface Area Deviation of the Euclidean Ball and a Polytope
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欧几里得球和多胞体的表面积偏差
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
E. Werner
中科院分区：
文献类型：
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作者：
Steven Hoehner;C. Schütt;E. Werner
虽然有大量的文献近似凸体内接或外切多面体，少得多的是已知的情况下，一般定位多面体。在这里，我们给出了凸体的近似由任意定位的多面体与一个固定数量的顶点或小平面的对称表面积偏差的上限和下限。
While there is extensive literature on approximation of convex bodies by inscribed or circumscribed polytopes, much less is known in the case of generally positioned polytopes. Here we give upper and lower bounds for approximation of convex bodies by arbitrarily positioned polytopes with a fixed number of vertices or facets in the symmetric surface area deviation.