Random tessellations modeling
| Thesis title in Czech: | Modelování náhodných mozaik |
|---|---|
| Thesis title in English: | Random tessellations modeling |
| Key words: | Voronoiova mozaika, Laguerrova mozaika, Gibbsův bodový proces |
| English key words: | Voronoi tessellation, Laguerre tessellation, Gibbs point process |
| Academic year of topic announcement: | 2016/2017 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Department of Probability and Mathematical Statistics (32-KPMS) |
| Supervisor: | prof. RNDr. Viktor Beneš, DrSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 05.01.2017 |
| Date of assignment: | 06.01.2017 |
| Confirmed by Study dept. on: | 08.02.2017 |
| Date and time of defence: | 07.06.2018 08:00 |
| Date of electronic submission: | 09.05.2018 |
| Date of submission of printed version: | 11.05.2018 |
| Date of proceeded defence: | 07.06.2018 |
| Opponents: | doc. RNDr. Zbyněk Pawlas, Ph.D. |
| Guidelines |
| Student se seznámí s modely náhodných mozaik. Bude vyšetřovat vlastnosti navrženého modelu a jeho schopnost popsat reálná data z materiálového výzkumu. |
| References |
| D. Dereudre, F. Lavancier: Practical simulation and estimation of Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction. Computational Statistics & Data Analysis, 2011, 55, 1, 498-519.
Sedivy O., Brereton T., Westhoff D., Polivka L., Benes V., Schmidt V., Jaeger A. (2016) 3D reconstruction of grains in polycrystalline materials using a tessellation model with curved grain boundaries. Philosophical Magazine, Part A: Materials Science, 96, 18, 1926-49. |