%0 Journal Article %T ON THE DILATED FACETS OF A POISSON-VORONOI TESSELLATION %A Claudia Redenbach %J Image Analysis and Stereology %D 2011 %I Slovenian Society for Stereology and Quantitative Image Analysis %R 10.5566/ias.v30.p31-38 %X In this paper, the parallel set ¦®R of the facets ((d 1)-faces) of a stationary Poisson-Voronoi tessellation in 2 and 3 is investigated. An analytical formula for the spherical contact distribution function of the tessellation allows for the derivation of formulae for the volume density and the specific surface area of ¦®R. The densities of the remaining intrinsic volumes are studied by simulation. The results are used for fitting a dilated Poisson-Voronoi tessellation to the microstructure of a closed-cell foam. %K contact distribution function %K intrinsic volumes %K parallel set %K surface density %K stochastic geometry %U http://www.ias-iss.org/ojs/IAS/article/view/21