Algorithms and a Library for the Exact Computation of the Cumulative Distribution Function of the Euclidean Distance Between a Point and a Random Variable Uniformly Distributed in Disks, Balls, or Polygones and Application to Probabilistic Seismic Hazard

DOI10.1142/s0218195922500091zbMath1524.68408arXiv1406.0005OpenAlexW4312050405MaRDI QIDQ6173262

Vincent Guigues

Publication date: 21 July 2023

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0005

zbMATH Keywords

uniform distributioncomputational geometrygeometric probabilityGreen's theoremdistance to a random variablePSHA

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Seismology (including tsunami modeling), earthquakes (86A15) Euclidean analytic geometry (51N20) Digital mathematics libraries and repositories (68V35)

Cites Work

• Largest and smallest convex hulls for imprecise points
• Computational Geometry in C
• A NOTE CONCERNING THE DISTANCES OF UNIFORMLY DISTRIBUTED POINTS FROM THE CENTRE OF A RECTANGLE
• Region-based Approximation Algorithms for Visibility between Imprecise Locations
• Approximate convex decomposition of polygons

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