Spherical projections and liftings in geometric tomography

DOI10.1515/ADVGEOM.2010.037zbMath1221.52006OpenAlexW1982260686MaRDI QIDQ3074798

Markus Kiderlen, Wolfgang Weil, Paul R. Goodey

Publication date: 10 February 2011

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2010.037

zbMATH Keywords

convex bodycosine transformstar bodyspherical Radon transformspherical liftingspherical projection

Mathematics Subject Classification ID

Integral operators (47G10) Spherical harmonics (33C55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

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Intersection bodies and generalized cosine transforms ⋮ A uniqueness result for mean section bodies ⋮ Estimation of the mean normal measure from flat sections ⋮ Lightness functions ⋮ Large faces in Poisson hyperplane mosaics ⋮ Hölder continuity for support measures of convex bodies ⋮ Uniqueness of the measurement function in Crofton's formula

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