Publication at Faculty of Mathematics and Physics |
2020
Abstract
We consider a random marked tessellation in which the marks are crystal lattice orientations. We construct a statistical test to decide whether the orientations are independently assigned to the cells of the underlying tessellation.
Using simulations, power computations are conducted for alternative models with different forms of mark correlation. We demonstrate the application in the analysis of polycrystalline materials with cubic symmetry of the crystal lattice.