The convex floating body of almost polygonal bodies

DOI10.1007/BF00182948zbMath0770.52006OpenAlexW1988421440MaRDI QIDQ1205437

Carsten Schuett, Elisabeth M. Werner

Publication date: 1 April 1993

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00182948

zbMATH Keywords

convex bodyconvex floating bodyalmost polygonal bodyconcave growth orderdifference volume

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

Homothetic floating bodies ⋮ Contributions to affine surface area ⋮ Illumination Depth ⋮ Convex floating bodies as approximations of Bergman sublevel sets on tube domains ⋮ Random Polytopes and Affine Surface Area ⋮ Halfspace depth and floating body ⋮ Separation bodies: a conceptual dual to floating bodies

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