Retrieving convex bodies from restricted covariogram functions
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Publication:5426461
DOI10.1239/aap/1189518630zbMath1127.52004arXivmath/0702892OpenAlexW2023163707MaRDI QIDQ5426461
Gabriele Bianchi, Gennadiy Averkov
Publication date: 12 November 2007
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702892
Geometric probability and stochastic geometry (60D05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (8)
Investigation of convex bodies in \(\mathbb R^3\) by support planes ⋮ On the reconstruction of planar lattice-convex sets from the covariogram ⋮ On variances of partial volumes of the typical cell of a Poisson-Voronoi tessellation and large-dimensional volume degeneracy ⋮ Retrieving convex bodies from restricted covariogram functions ⋮ The covariogram determines three-dimensional convex polytopes ⋮ The cross covariogram of a pair of polygons determines both polygons, with a few exceptions ⋮ On convex bodies that are characterizable by volume function. ``Old and recent problems for a new generation: a survey ⋮ Confirmation of Matheron's conjecture on the covariogram of a planar convex body
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