The error of polytopal approximation with respect to the symmetric difference metric and the \(L_p\) metric

DOI10.1007/BF02773561zbMath0986.52004OpenAlexW2014107808MaRDI QIDQ1567334

Károly jun. Böröczky

Publication date: 29 May 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773561

zbMATH Keywords

volume approximationpolytopal approximationerror of asymptotic formulae

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by convex sets (52A27)

Related Items

Optimum quantization and its applications ⋮ Approximation of convex sets by polytopes ⋮ Approximation of general smooth convex bodies

Cites Work

• Extended affine surface area
• Volume approximation of convex bodies by inscribed polytopes
• Polygonal approximation of plane convex bodies
• Asymptotic approximation of convex curves
• Asymptotic estimates for best and stepwise approximation of convex bodies III
• Asymptotic approximation of smooth convex bodies by general polytopes
• Power Diagrams: Properties, Algorithms and Applications
• About the error term for best approximation with respect to the Hausdorff related metrics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The error of polytopal approximation with respect to the symmetric difference metric and the \(L_p\) metric