Orientation-dependent distribution of the length of a random segment and covariogram

DOI10.3103/S1068362315020053zbMath1336.60015MaRDI QIDQ260286

A. G. Gasparyan, Viktor Ohanyan

Publication date: 21 March 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

convex bodycovariogramdistribution of the length of a random segmentorientation-dependent chord length distribution

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 (5)

Covariogram and orientation-dependent chord lenght distribution function for oblique prism ⋮ Distribution of length of random segment and covariogram for fuzzy convex bodies ⋮ Orientation-dependent chord length distribution function for right prisms with rectangular or right trapezoidal bases ⋮ Calculation of geometric probabilities using covariogram of convex bodies ⋮ Orientation-dependent chord length distribution as a function of maximal chord

Cites Work

• Random copy of a segment within a convex domain
• Orientation-dependent section distributions for convex bodies
• Confirmation of Matheron's conjecture on the covariogram of a planar convex body
• Recognition of triangles by covariogram
• Covariogram of a parallelogram
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