Verification of polytopes by brightness functions

DOI10.1090/S0002-9939-09-10041-2zbMath1180.52009OpenAlexW2045637253MaRDI QIDQ3642677

Rolf Schneider

Publication date: 6 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10041-2

zbMATH Keywords

convex bodygeometric tomographyAleksandrov's projection theorembrightness functionprojection volume0-symmetric convex bodydirection set of a convex body

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Quasianalyticity, uncertainty, and integral transforms on higher Grassmannians

Cites Work

• Analytic continuation of convex bodies and Funk's characterization of the sphere.
• On the projections of a convex polytope
• Über die Bestimmung eines konvexen Körpers durch die Inhalte seiner Projektionen
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