Convex bodies with extremal volumes having prescribed brightness in finitely many directions

DOI10.1007/BF01264932zbMath0838.52011MaRDI QIDQ1900087

Andrea Colesanti, Paolo Gronchi, Stefano Campi

Publication date: 21 November 1995

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

zbMATH Keywords

volumepolytopeconvex bodyzonoidfacetcentrally-symmetric

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Mixed volumes and related topics in convex geometry (52A39)

Related Items

Lightness functions, Convergence of algorithms for reconstructing convex bodies and directional measures, Estimates of Loomis-Whitney type for intrinsic volumes, Reverse and dual Loomis-Whitney-type inequalities

Cites Work

• Ein allgemeines Extremalproblem für konvexe Körper
• Restricted chord projection and affine inequalities
• Approximation of zonoids by zonotopes in fixed directions
• Shadows of Convex Bodies
• An inequality related to the isoperimetric inequality
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