Existence and simulation of Gibbs-Delaunay-Laguerre tessellations

DOI10.14736/KYB-2020-4-0617zbMath1474.60020OpenAlexW3091857821MaRDI QIDQ5140464

F. Seitl, Daniel Jahn

Publication date: 15 December 2020

Published in: Kybernetika (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/148376

zbMATH Keywords

MCMC simulationstationary Gibbs measureGibbs-Laguerre tessellationLaguerre-Delauay tetrahedrization

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Uses Software

• Voro++

Cites Work

• Unnamed Item
• Unnamed Item
• Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction
• Existence of Gibbsian point processes with geometry-dependent interactions
• Point processes in general position
• Random fields
• Exploration of Gibbs-Laguerre tessellations for three-dimensional stochastic modeling
• Optimal polyhedral description of 3D polycrystals: method and application to statistical and synchrotron X-ray diffraction data
• Random Laguerre tessellations

This page was built for publication: Existence and simulation of Gibbs-Delaunay-Laguerre tessellations