On the Delone triangulation numbers

DOI10.1006/jath.2001.3563zbMath1014.52004OpenAlexW2085988084MaRDI QIDQ5944138

Piotr Mankiewicz, Carsten Schuett

Publication date: 17 July 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6d3be77a73371d4838d91b20a48d1900a0e7d8db

zbMATH Keywords

asymptotic formulaconvex bodiesDelone triangulation numbersymmetric difference metric

Mathematics Subject Classification ID

Discrete geometry (52C99) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Approximation by convex sets (52A27)

Related Items

Floating bodies and approximation of convex bodies by polytopes ⋮ Best and random approximation of a convex body by a polytope ⋮ A concentration inequality for random polytopes, Dirichlet-Voronoi tiling numbers and the geometric balls and bins problem ⋮ Approximation of smooth convex bodies by random circumscribed polytopes ⋮ Random polytopes and the Efron-Stein jackknife inequality. ⋮ Approximation of smooth convex bodies by random polytopes ⋮ Hausdorff approximation of 3D convex polytopes ⋮ Halfspace depth and floating body ⋮ New analysis of the sphere covering problems and optimal polytope approximation of convex bodies

Cites Work

• Polygonal approximation of plane convex bodies
• Umbrellas and polytopal approximation of the Euclidean ball
• Approximation of a ball by random polytopes
• Asymptotic estimates for best and stepwise approximation of convex bodies II
• A simple proof of an estimate for the approximation of the Euclidean ball and the Delone triangulation numbers

This page was built for publication: On the Delone triangulation numbers