A generalization of intersection formulae of integral geometry
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Publication:1376489
DOI10.1023/A:1004976306108zbMath0909.52002MaRDI QIDQ1376489
Publication date: 29 March 1999
Published in: Geometriae Dedicata (Search for Journal in Brave)
convex bodiescurvature measuresprincipal kinematic formulaconvex ringCrofton formulageneralized curvature measuresintersection formulae
Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (11)
Valuations on Convex Bodies: The Classical Basic Facts ⋮ Crofton Formulae for Tensor-Valued Curvature Measures ⋮ Local tensor valuations ⋮ Conic support measures ⋮ Local tensor valuations on convex polytopes ⋮ Reconstructing planar ellipses from translation-invariant Minkowski tensors of rank two ⋮ The invariator principle in convex geometry ⋮ Rotation covariant local tensor valuations on convex bodies ⋮ Rotational Crofton formulae with a fixed subspace ⋮ Kinematic formulae for tensorial curvature measures ⋮ Closed-form characterization of the Minkowski sum and difference of two ellipsoids
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