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Optimal area-sensitive bounds for polytope approximation

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Publication:2874597
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DOI10.1145/2261250.2261305zbMath1293.52013OpenAlexW2137746155MaRDI QIDQ2874597

David M. Mount, Sunil Arya, Guilherme Dias da Fonseca

Publication date: 7 August 2014

Published in: Proceedings of the twenty-eighth annual symposium on Computational geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2261250.2261305


zbMATH Keywords

polytopesconvexityapproximationMacbeath regions


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Approximation algorithms (68W25)


Related Items (4)

Shallow packings, semialgebraic set systems, macbeath regions, and polynomial partitioning ⋮ On the combinatorial complexity of approximating polytopes ⋮ Approximate Polytope Membership Queries ⋮ \(\varepsilon\)-Mnets: Hitting geometric set systems with subsets




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