Translative and Kinematic Formulae for Curvature Measures of Flat Sections

DOI10.1002/mana.19991970107zbMath0944.53044OpenAlexW2160508334MaRDI QIDQ4238708

Jan Rataj

Publication date: 25 September 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19991970107

zbMATH Keywords

stochastic geometrystereologyspherical area measures

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items

Crofton Formulae for Tensor-Valued Curvature Measures, Unnamed Item, Rotational Crofton formulae for Minkowski tensors and some affine counterparts, Intersections and Translative Integral Formulas for Boundaries of Convex Bodies, A flag representation of projection functions, Estimation of the mean normal measure from flat sections, Integral geometry of tensor valuations, Unnamed Item, Closed form of the rotational Crofton formula

Cites Work

• Unnamed Item
• Remarks on translative formula for sets of positive reach
• Iterations of translative integral formulae and non-isotropic Poisson processes of particles
• Integral and current representation of Federer's curvature measures
• Curvature measures of convex bodies
• Section and projection means of convex bodies
• Mixed curvature measures for sets of positive reach and a translative integral formula
• Translative and Kinematic Integral Formulae for Curvature Measures