In many applications in biology, medicine, geology and material research there is a need of quantitative description of geometrical structures. Analysis of spatial data from various measurements requires suitable mathematical models and special statistical methods. Stochastic geometry is a mathematical discipline which meets these demands. It arised in the… (More)
Description of relations between spatial variability of microstructure and mechanical strength of alumina ceramics. assessment of the point-centred quarter method of plotless sampling in some New Zealand forests. 27 Acknowledgements We thank Chris Jonker for processing the heather image of Figure 1 at CWI as part of his honours thesis at the University of… (More)
This paper reports on spatial-statistical analyses for simulated random packings of spheres with random diameters. The simulation methods are the force-biased algorithm and the Jodrey-Tory sedimentation algorithm. The sphere diameters are taken as constant or following a bimodal or lognormal distribution. Standard characteristics of spatial statistics are… (More)
On the estimation of moments of the volume-weighted distribution of particle sizes. A comprehensive set of stereological formulae for embedded aggregates of not-necessarily-convex particles.