On the density of lines and Santalo's formula for computing geometric size measures

DOI10.1515/mcma-2020-2071zbMath1464.52004OpenAlexW3055701835MaRDI QIDQ2026642

Elias G. Saleeby, Khaldoun El Khaldi

Publication date: 20 May 2021

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/mcma-2020-2071

zbMATH Keywords

Monte Carlo methoddensity of linesgeometric size measuresrandomness model

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (1)

On intersection volumes of confidence hyper-ellipsoids and two geometric Monte Carlo methods

Cites Work

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• On the tangent model for the density of lines and a Monte Carlo method for computing hypersurface area
• Using low-discrepancy sequences and the Crofton formula to compute surface areas of geometric models
• On the sample-mean method for computing hyper-volumes
• ERROR BOUNDS FOR SURFACE AREA ESTIMATORS BASED ON CROFTON’S FORMULA
• EARLY HISTORY OF GEOMETRIC PROBABILITY AND STEREOLOGY
• A note on a method for generating points uniformly on n -dimensional spheres
• Volume estimation by monte carlo methods^*
• Stochastic and Integral Geometry
• The probability of a random straight line in two and three dimensions
• On Volumes of Hyper-Ellipsoids
• Random secants of a convex body

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