Expressing intrinsic volumes as rotational integrals

DOI10.1016/j.aam.2009.11.010zbMath1202.60018OpenAlexW1998246035MaRDI QIDQ972850

Eva B. Vedel Jensen, Jérémy Auneau

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.aam.2009.11.010

zbMATH Keywords

stereologyGrassmann manifoldintegral geometryintrinsic volumegeometric measure theoryset of positive reachrotational 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 (7)

Rotation Invariant Valuations ⋮ New rotational integrals in space forms, with an application to surface area estimation. ⋮ The invariator principle in convex geometry ⋮ Geometric integral formulas of cylinders within slabs ⋮ Rotational Crofton formulae with a fixed subspace ⋮ Gauss-Bonnet formulae and rotational integrals in constant curvature spaces ⋮ Closed form of the rotational Crofton formula

Cites Work

• Unnamed Item
• Unnamed Item
• Integral geometry of tensor valuations
• A rotational integral formula for intrinsic volumes
• A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications
• Local Stereology

This page was built for publication: Expressing intrinsic volumes as rotational integrals