Recognition of triangles by covariogram
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Publication:2439857
DOI10.3103/S1068362313030023zbMath1296.60020MaRDI QIDQ2439857
Viktor Ohanyan, A. G. Gasparyan
Publication date: 17 March 2014
Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)
Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (12)
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 ⋮ Distribution of the distance between two random points in a body from \(\mathbb R^3\) ⋮ Orientation-dependent section distributions for convex bodies ⋮ Distribution of the distance between two random points in a body from \(\mathbb{R}^n\) ⋮ Calculation of geometric probabilities using covariogram of convex bodies ⋮ Covariogram of a parallelogram ⋮ 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
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- Confirmation of Matheron's conjecture on the covariogram of a planar convex body
- Die Verteilung der Sehnenlängen an ebenen und räumlichen Figuren
- Plane polygons and a conjecture of Blaschke’s
- Orientation-dependent chord length distributions characterize convex polygons
- Recognition of triangles and quadrilaterals by chord length distribution
- Linear-Intercept distributions do not characterize plane sets
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