Covariogram and orientation-dependent chord lenght distribution function for oblique prism

DOI10.3103/S1068362322030050zbMath1504.60079OpenAlexW4283324644MaRDI QIDQ2676598

V. Khalatyan

Publication date: 28 September 2022

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/s1068362322030050

zbMATH Keywords

stochastic geometrybounded convex bodycovariogramchord length distribution function

Mathematics Subject Classification ID

Integral geometry (53C65) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (1)

Orientation-dependent chord length distribution in a convex quadrilateral

Cites Work

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• Orientation-dependent distribution of the length of a random segment and covariogram
• Orientation-dependent section distributions for convex bodies
• Covariogram of a cylinder
• Calculation of geometric probabilities using covariogram of convex bodies
• Distribution of the distance between two random points in a body from \(\mathbb{R}^n\)
• Orientation-dependent chord length distribution function for right prisms with rectangular or right trapezoidal bases
• Recognition of triangles by covariogram
• Covariogram of a parallelogram
• Plane polygons and a conjecture of Blaschke’s
• Recognition of triangles and quadrilaterals by chord length distribution
• The chord length distribution function for regular polygons
• Linear-Intercept distributions do not characterize plane sets

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