Covariogram of a parallelogram

DOI10.3103/S1068362314040050zbMath1355.60016MaRDI QIDQ2514384

Viktor Ohanyan, A. G. Gasparyan

Publication date: 3 February 2015

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

zbMATH Keywords

bounded convex domaincovariogramorientation-dependent chord length distributionchord 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 (9)

RELATION BETWEEN THE COVARIOGRAM AND DISTRIBUTION FUNCTION OF THE DISTANCE BETWEEN TWO UNIFORM AND INDEPENDENT POINTS ⋮ Covariogram and orientation-dependent chord lenght distribution function for oblique prism ⋮ Investigation of convex bodies in \(\mathbb R^3\) by support planes ⋮ Covariogram of a cylinder ⋮ Orientation-dependent chord length distribution in a convex quadrilateral ⋮ 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 distribution of the length of a random segment and covariogram ⋮ Orientation-dependent chord length distribution as a function of maximal chord

Cites Work

• 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
• Orientation-dependent chord length distributions characterize convex polygons
• The chord length distribution function for regular polygons
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