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Titlebook: Stochastic and Integral Geometry; Rolf Schneider,Wolfgang Weil Book 2008 Springer-Verlag Berlin Heidelberg 2008 Geometric probability.Inte

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Random Mosaicsan alternatively be described as a special random closed set (formed by the boundaries of the cells of the mosaic), or as a special point process of convex polytopes. The .-dimensional faces of these polytopes themselves generate point processes of .-dimensional sets. Thus, a random mosaic is in a n
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Non-stationary Modelsoutlook to some of the extensions that are possible without such assumptions. The invariance properties in previous chapters allowed us to employ integral geometric formulas for obtaining results on geometric mean values. Our set-up followed also the historical development of the field, where from t
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Facts from Convex Geometrych random sets is based on functionals of convex bodies which are particularly adapted to taking unions: they are additive. In Section 14.2 we collect the basic facts about the most important of these functionals, the rigid motion invariant intrinsic volumes, and their local counterparts, the curvat
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