Original title: Zobecněné náhodné mozaiky, jejich vlastnosti, simulace a aplikace
Translated title: Generalized random tessellations, their properties, simulation and applications
Authors: Jahn, Daniel ; Beneš, Viktor (advisor)
Document type: Rigorous theses
Year: 2019
Language: eng
Abstract: The past few years have seen advances in modelling of polycrystalline materi- als using parametric tessellation models from stochastic geometry. A promising class of tessellations, the Gibbs-type tessellation, allows the user to specify a great variety of properties through the energy function. This text focuses solely on tetrahedrizations, a three-dimensional tessellation composed of tetrahedra. The existing results for two-dimensional Delaunay triangulations are extended to the case of three-dimensional Laguerre tetrahedrization. We provide a proof of existence, a C++ implementation of the MCMC simulation and estimation of the models parameters through maximum pseudolikelihood. 1
Keywords: Gibbs generalized tessellation; incremental-decremental algorithm; properties of stochastic models; algoritmus přidání a odebrání; Gibbsova zobecněná mozaika; vlastnosti stochastických modelů

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/107273

Permalink: http://www.nusl.cz/ntk/nusl-441091


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Rigorous theses