Orientation-dependent chord length distribution function for right prisms with rectangular or right trapezoidal bases

DOI10.3103/S1068362320060072zbMath1454.60023OpenAlexW3114243294MaRDI QIDQ2227013

Davit Martirosyan, Viktor Ohanyan

Publication date: 9 February 2021

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

Full work available at URL: https://doi.org/10.3103/s1068362320060072

zbMATH Keywords

stochastic geometryconvex bodycovariogramrandom 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)

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 ⋮ On intersection probabilities of four lines inside a planar convex domain ⋮ Orientation-dependent chord length distribution in a convex quadrilateral

Cites Work

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• Calculation of geometric probabilities using covariogram of convex bodies
• Distribution of the distance between two random points in a body from \(\mathbb R^3\)
• Covariogram of a parallelogram
• Stochastic and Integral Geometry
• The chord length distribution function for regular polygons

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