Approximation of zonoids by zonotopes in fixed directions

DOI10.1007/BF02574016zbMath0801.52002OpenAlexW2018570173MaRDI QIDQ1329189

V. Pereyra

Publication date: 1 December 1994

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

Full work available at URL: https://eudml.org/doc/131309

zbMATH Keywords

estimationzonotopeprojection bodyzonoid

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Approximation by convex sets (52A27)

Related Items (4)

Convex bodies with extremal volumes having prescribed brightness in finitely many directions ⋮ Description of the symmetric convex random closed sets as zonotopes from their Feret diameters ⋮ Lightness functions ⋮ Unnamed Item

Cites Work

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• Point processes of cylinders, particles and flats
• Some inequalities for Gaussian processes and applications
• Distribution of points on spheres and approximation by zonotopes
• The dimension of almost spherical sections of convex bodies
• Approximation of zonoids by zonotopes
• Approximation of a ball by zonotopes using uniform distribution on the sphere
• Analysis of planar anisotropy by means of the Steiner compact
• Estimating the Sizes of Convex Bodies from Projections

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