Calculation of geometric probabilities using covariogram of convex bodies

DOI10.3103/S1068362318020061zbMath1401.60017MaRDI QIDQ1795443

N. G. Agaronyan, Viktor Ohanyan

Publication date: 16 October 2018

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

zbMATH Keywords

triangleconvex bodycovariogramorientation-dependent chord length distributionkinematic measure\(n\)-dimensional ball

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 (3)

Covariogram and orientation-dependent chord lenght distribution function for oblique prism ⋮ On intersection probabilities of four lines inside a planar convex domain ⋮ Orientation-dependent chord length distribution function for right prisms with rectangular or right trapezoidal bases

Cites Work

• Orientation-dependent distribution of the length of a random segment and covariogram
• Chord length distributions for polygons
• Kinematic measure of segments lying in a domain
• 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
• Stochastic and Integral Geometry
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