Surface area deviation between smooth convex bodies and polytopes

DOI10.1016/j.aam.2021.102218zbMath1476.52003arXiv1811.04656OpenAlexW3163422387MaRDI QIDQ2040993

Julian Grote, Elisabeth M. Werner, Christoph Thäle

Publication date: 15 July 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04656

zbMATH Keywords

polytopesapproximation of convex bodiesprobabilistic methodrandom polytopessurface area deviation\(p\)-affine surface areas

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) (n)-dimensional polytopes (52B11) Integral geometry (53C65) Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items

Best and random approximation of a convex body by a polytope ⋮ Constrained convex bodies with extremal affine surface areas ⋮ An intrinsic volume metric for the class of convex bodies in ℝn

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