The method of densities for non-isotropic Boolean models

• Format: eBook
• Language: English
• Published: KIT Scientific Publishing 2015
• Subjects: Anisotropie; anisotropy; Boolean model; Boolesches Modell; Intensitätsschätzung; intensity estimation; method of densities; Stochastic geometry; Stochastische Geometrie
• Online Access: Open Access: DOAB: description of the publication; Open Access: DOAB, download the publication
• Physical Description: 1 online resource (122 p. p.)
• ISBN: 9783731503293; KSP/1000045101
• Access: Open Access

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.