The method of densities for non-isotropic Boolean models

by Julia Hörrmann

Institution: Universität Karlsruhe
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


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.