The method of densities for non-isotropic Boolean models
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.
| Zugehörige Institution(en) am KIT | Institut für Stochastik (STOCH) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2015 |
| Sprache | Englisch |
| Identifikator | ISBN: 978-3-7315-0329-3 urn:nbn:de:0072-451012 KITopen-ID: 1000045101 |
| Verlag | KIT Scientific Publishing |
| Umfang | 122 S. |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Stochastik (STOCH) |
| Prüfungsdaten | 22.10.2014 |
| Schlagwörter | Stochastic geometry; Boolean model; anisotropy; method of densities, intensity estimation, Boolesches Modell, Stochastische Geometrie, Anisotropie, Intensitätsschätzung |
| Relationen in KITopen | |
| Referent/Betreuer | Hug, Daniel |