Random Sets and Integral Geometry

a.s. convex admits associated B₁ boolean model borelian Choquet capacity closed in F closed set Co(K compact convex sets compact set continuous Conversely convex cone convex set Corollary countable covariance defined definition denote density disjoint E=Rd equivalent euclidean granulometry euclidean space exists a sequence functional Q G₁ Hence hyperplane IDRACS implies induced integral geometry isotropic K₁ KEC(K kernel LCS space Lebesgue measure Lemma Let F lim F linear variety Minkowski functionals Minkowski sum Moreover myope topology nonempty o-finite measure open set Poisson network Poisson polyhedron Poisson process probability Proof Proposition 9-2-5 RACS Radon measure random closed set random set random variable relationship resp respect S₁ satisfied semi-markovian RACS smallest extension SMIDRACS space law stationary subset subspace suppose T-mapping U-hereditary u.s.c. mapping union unique unit ball V₁ verify