Orientation-dependent chord length distributions characterize convex polygons

DOI10.2307/3214779zbMath0781.60018OpenAlexW4238928297MaRDI QIDQ4274463

Werner Nagel

Publication date: 17 February 1994

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214779

zbMATH Keywords

convex polygonsintegral geometryorientation-dependent chord length distributioncovariograms

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Convex sets in (2) dimensions (including convex curves) (52A10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (11)

The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes ⋮ \(\Gamma\)-limit for a sharp interface model related to pattern formation on biomembranes ⋮ Covariogram of a cylinder ⋮ On the reconstruction of planar lattice-convex sets from the covariogram ⋮ Recognition of triangles by covariogram ⋮ Generalized Pleijel identity ⋮ Covariograms of convex bodies in the plane: A remark on Nagel's theorem ⋮ Retrieving convex bodies from restricted covariogram functions ⋮ Covariogram of a parallelogram ⋮ The covariogram determines three-dimensional convex polytopes ⋮ On convex bodies that are characterizable by volume function. ``Old and recent problems for a new generation: a survey

This page was built for publication: Orientation-dependent chord length distributions characterize convex polygons