COVARIOGRAM OF NON‐CONVEX SETS

DOI10.1112/S0025579310000549zbMath1198.52007arXiv1003.4122MaRDI QIDQ3584591

Giuliana D'Ercole, Carlo Benassi, Gabriele Bianchi

Publication date: 30 August 2010

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4122

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items

Covariogram of a cylinder ⋮ On the reconstruction of planar lattice-convex sets from the covariogram

Cites Work

• The covariogram determines three-dimensional convex polytopes
• Confirmation of Matheron's conjecture on the covariogram of a planar convex body
• The chords' problem
• Sums, projections, and sections of lattice sets, and the discrete covariogram
• Some necessary clarifications about the chords' problem and the partial digest problem
• The Structure of Homometric Sets