dc.contributor.advisor | Beneš, Viktor | |
dc.creator | Jahn, Daniel | |
dc.date.accessioned | 2021-05-20T11:09:08Z | |
dc.date.available | 2021-05-20T11:09:08Z | |
dc.date.issued | 2019 | |
dc.identifier.uri | http://hdl.handle.net/20.500.11956/107273 | |
dc.description.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 | en_US |
dc.language | English | cs_CZ |
dc.language.iso | en_US | |
dc.publisher | Univerzita Karlova, Matematicko-fyzikální fakulta | cs_CZ |
dc.subject | Gibbs generalized tessellation | en_US |
dc.subject | incremental-decremental algorithm | en_US |
dc.subject | properties of stochastic models | en_US |
dc.subject | Gibbsova zobecněná mozaika | cs_CZ |
dc.subject | algoritmus přidání a odebrání | cs_CZ |
dc.subject | vlastnosti stochastických modelů | cs_CZ |
dc.title | Generalized random tessellations, their properties, simulation and applications | en_US |
dc.type | rigorózní práce | cs_CZ |
dcterms.created | 2019 | |
dcterms.dateAccepted | 2019-06-13 | |
dc.description.department | Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
dc.description.department | Department of Probability and Mathematical Statistics | en_US |
dc.description.faculty | Faculty of Mathematics and Physics | en_US |
dc.description.faculty | Matematicko-fyzikální fakulta | cs_CZ |
dc.identifier.repId | 212566 | |
dc.title.translated | Zobecněné náhodné mozaiky, jejich vlastnosti, simulace a aplikace | cs_CZ |
dc.identifier.aleph | 002282834 | |
thesis.degree.name | RNDr. | |
thesis.degree.level | rigorózní řízení | cs_CZ |
thesis.degree.discipline | Probability, mathematical statistics and econometrics | en_US |
thesis.degree.discipline | Pravděpodobnost, matematická statistika a ekonometrie | cs_CZ |
thesis.degree.program | Mathematics | en_US |
thesis.degree.program | Matematika | cs_CZ |
uk.thesis.type | rigorózní práce | cs_CZ |
uk.taxonomy.organization-cs | Matematicko-fyzikální fakulta::Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
uk.taxonomy.organization-en | Faculty of Mathematics and Physics::Department of Probability and Mathematical Statistics | en_US |
uk.faculty-name.cs | Matematicko-fyzikální fakulta | cs_CZ |
uk.faculty-name.en | Faculty of Mathematics and Physics | en_US |
uk.faculty-abbr.cs | MFF | cs_CZ |
uk.degree-discipline.cs | Pravděpodobnost, matematická statistika a ekonometrie | cs_CZ |
uk.degree-discipline.en | Probability, mathematical statistics and econometrics | en_US |
uk.degree-program.cs | Matematika | cs_CZ |
uk.degree-program.en | Mathematics | en_US |
thesis.grade.cs | Uznáno | cs_CZ |
thesis.grade.en | Recognized | en_US |
uk.abstract.en | 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 | en_US |
uk.file-availability | V | |
uk.grantor | Univerzita Karlova, Matematicko-fyzikální fakulta, Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
thesis.grade.code | U | |
uk.publication-place | Praha | cs_CZ |
uk.thesis.defenceStatus | U | |
dc.identifier.lisID | 990022828340106986 | |