Approximation of convex bodies by polytopes

DOI10.1007/BF02844354zbMath0494.52003OpenAlexW1971462890MaRDI QIDQ1169154

Peter M. Gruber, Kenderov, Petar S.

Publication date: 1982

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844354

zbMATH Keywords

approximation by polytopesconvex bodiesbest approximating polygons

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polytopes and polyhedra (52Bxx)

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Cites Work

• Über das Verhalten der Entfernung zweier Punktmengen bei gleichzeitiger Symmetrisierung derselben
• Polygonal approximation of plane convex bodies
• On Blaschke's rolling theorems
• Metric entropy of some classes of sets with differentiable boundaries
• Symmetrisierung an Unterräumen
• A Geometric Method for Approximating Convex Arcs
• Metrics for sets of convex bodies
• Arcwise Convex Sets
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