Geodesic
Volume approximation of convex bodies by polytopes - a constructive method
Studia Mathematica, Tome 111 (1994) no. 1, pp. 81-95

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Algorithms are given for constructing a polytope P with n vertices (facets), contained in (or containing) a given convex body K in $ℝ^d$, so that the ratio of the volumes |K∖P|/|K| (or |P∖K|/|K|) is smaller than $f(d)/n^{2/(d-1)}$.
DOI : 10.4064/sm-111-1-81-95
Keywords: convex bodies, polytopes, approximation

Yehoram Gordon 1 ;  1 ;  1

1 
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Yehoram Gordon;  ;  . Volume approximation of convex bodies by polytopes - a constructive method. Studia Mathematica, Tome 111 (1994) no. 1, pp. 81-95. doi: 10.4064/sm-111-1-81-95

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