On the approximation of convex bodies by ellipses with respect to the symmetric difference metric

DOI10.1007/s00454-018-0015-zzbMath1401.52003arXiv1702.03808OpenAlexW2963017862WikidataQ129579779 ScholiaQ129579779MaRDI QIDQ1991404

Jairo Bochi

Publication date: 30 October 2018

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03808

zbMATH Keywords

approximationconvex bodiessymmetric difference metricmaximal intersection ellipsoids

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Distance geometry (51K99) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Uses Software

• MathOverflow

Cites Work

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• Approximation of convex bodies by polytopes
• Ellipsoids of maximal volume in convex bodies
• Polygonal approximation of plane convex bodies
• Löwner-John ellipsoids
• Approximation of convex sets by polytopes
• Approximation to Plane Convex Curves. (I) Dowker-Type Theorems
• Asymptotic approximation of smooth convex bodies by general polytopes
• Isotropic measures and maximizing ellipsoids: Between John and Loewner
• Convex Bodies The Brunn-MinkowskiTheory
• Metrics for sets of convex bodies
• On minimum circumscribed polygons
• Intersections of convex bodies

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