Empirical (Typical) Cells of the Poisson Medial Tessellation

DOI10.1080/15326340902870091zbMath1179.60005OpenAlexW2124718171MaRDI QIDQ3643189

Julien Michel, Sylvain Porret-Blanc

Publication date: 10 November 2009

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340902870091

zbMATH Keywords

medial axisroad networkskeletonPoisson line tessellationtypical cell

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Limit theorems in probability theory (60F99)

Cites Work

• Simulation of typical Cox-Voronoi cells with a special regard to implementation tests
• Central limit theorems for Poisson hyperplane tessellations
• An introduction to the theory of point processes
• The various aggregates of random polygons determined by random lines in a plane
• The spectrum of some Poisson mosaic processes in the plane and the convex hull of the Brownian bridge
• Empirical polygon simulation and central limit theorems for the homogeneous Poisson line process
• Conditional length distributions induced by the coverage of two points by a Poisson Voronoï tessellation: application to a telecommunication model
• Ergodic theorems for superadditive processes.
• Properties of ergodic random mosaic processes
• The Use of the Ergodic Theorems in Random Geometry
• Quelques théorèmes centraux limites pour les processus poissoniens de droites dans le plan
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE, II
• The iteration of random tessellations and a construction of a homogeneous process of cell divisions
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE
• Random Distribution of Lines in a Plane

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