AbstractsMathematics
The method of densities for non-isotropic Boolean models
| Institution: | Universität Karlsruhe |
|---|---|
| Department: | |
| Year: | 2015 |
| Keywords: | Stochastic geometry; Boolean model; anisotropy; method of densities, intensity estimation, Boolesches Modell, Stochastische Geometrie, Anisotropie, Intensitätsschätzung |
| Record ID: | 1100924 |
| Full text PDF: | http://digbib.ubka.uni-karlsruhe.de/volltexte/documents/3458173 |
Abstract
This book deals with the Boolean model, a basic model of stochastic geometry for the description of porous structures like the pore space in sand stone. The main result is a formula which gives in two and three dimensions a series representation of the most important model parameter, the intensity, using densities of so-called harmonic intrinsic volumes, which are new observable geometric quantities.
