Translative integral formulae for convex bodies

DOI10.1007/BF01840124zbMath0633.52003OpenAlexW2015170636MaRDI QIDQ1096181

Paul R. Goodey, Wolfgang Weil

Publication date: 1987

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137223

zbMATH Keywords

mixed volumescentral symmetryquermassintegrals of convex bodiestranslation integral

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items

Point processes of cylinders, particles and flats, Translative and kinematic integral formulae for support functions, Mixed curvature measures for sets of positive reach and a translative integral formula, The determination of convex bodies from the mean of random sections, Rotational Crofton formulae with a fixed subspace, Iterations of translative integral formulae and non-isotropic Poisson processes of particles, Processes of flats induced by higher dimensional processes, Closed-form characterization of the Minkowski sum and difference of two ellipsoids, Centrally symmetric convex bodies and Radon transforms on higher order Grassmannians, Section and projection means of convex bodies, Mixed measures of convex cylinders and quermass densities of Boolean models

Cites Work

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• Translative and Kinematic Integral Formulae for Curvature Measures
• Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes