Exploration of Gibbs-Laguerre tessellations for three-dimensional stochastic modeling

DOI10.1007/s11009-019-09757-xzbMath1477.74023arXiv1905.04252OpenAlexW2997738726WikidataQ126395628 ScholiaQ126395628MaRDI QIDQ2241615

Carl E. III Krill, L. Petrich, Jakub Staněk, F. Seitl, Volker Schmidt, Viktor Beneš

Publication date: 9 November 2021

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04252

zbMATH Keywords

Markov chain Monte Carlo methodenergy functionLaguerre tessellationGibbs point processstatistical reconstructiongrain polycristalline microstructure

Mathematics Subject Classification ID

Random structure in solid mechanics (74E35) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (2)

Dependent radius marks of Laguerre tessellations: a case study ⋮ Existence and simulation of Gibbs-Delaunay-Laguerre tessellations

Uses Software

• Voro++
• Neper

Cites Work

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• Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction
• Large-scale 3D random polycrystals for the finite element method: generation, meshing and remeshing
• Existence of Gibbsian point processes with geometry-dependent interactions
• Statistical reconstruction of random point patterns
• Data-driven selection of tessellation models describing polycrystalline microstructures
• Optimal polyhedral description of 3D polycrystals: method and application to statistical and synchrotron X-ray diffraction data
• Random Laguerre tessellations
• Statistical Analysis and Modelling of Spatial Point Patterns

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