Generalized averages of section and projection functions

DOI10.1016/j.aam.2009.04.003zbMath1184.52004OpenAlexW1987761343MaRDI QIDQ846217

Paul R. Goodey, Wolfgang Weil

Publication date: 2 February 2010

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.04.003

zbMATH Keywords

average projection functionstar body, average section function

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

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• Directed projection functions of convex bodies
• On a spherical integral transformation and sections of star bodies
• On the girth of convex bodies
• Average section functions for star-shaped sets
• Spherical harmonics
• Determination of Convex Bodies by Directed Projection Functions
• Stochastic and Integral Geometry
• The directions of the line segments and of the r ‐dimensional balls on the boundary of a convex body in Euclidean space

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