hidden - assigned and confirmed by the Study Dept.
Date of registration:
27.09.2018
Date of assignment:
27.09.2018
Confirmed by Study dept. on:
29.10.2018
Date and time of defence:
07.12.2022 09:30
Date of electronic submission:
29.09.2022
Date of submission of printed version:
29.09.2022
Date of proceeded defence:
07.12.2022
Opponents:
prof. Dr. Claudia Redenbach
prof. RNDr. Tomáš Mrkvička, Ph.D.
Guidelines
The student will study literature on basic stochastic geometry and spatial statistics. He will learn how to deal with three-dimensional data in a form of voxels (3D image analysis). He will develop stochastic models and statistical methods which can be applied in materials research. Simulation algorithms will be developed in order to substitute the true microstructure with virtual data.
References
Dereudre D., Lavancier F. (2011) Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction. Computational Statistics & Data Analysis 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, 1926-1949.
Chiu S.N., Stoyan D., Kendall W.S., Mecke J. (2013) Stochastic Geometry and Its Applications, 3rd Edition. Wiley, New York. ISBN: 978-0-470-66481-0.
Preliminary scope of work
Doktorand bude členem týmu mezinárodního česko-německého projektu, který školitel řeší na české straně.
Preliminary scope of work in English
The student will take part in the team of an international Czech-German project, where the advisor is the principal investigator on the Czech side.
- assigned and confirmed by the Study Dept.