## Random sets and integral geometry |

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### Contents

CHAPTER | 1 |

THE RANDOM CLOSED SETS RACS | 27 |

INDEFINITELY DIVISIBLE RANDOM CLOSED SETS IDRACS | 54 |

Copyright | |

9 other sections not shown

### Common terms and phrases

a-finite measure a.s. convex associated boolean model borelian C-additive characterized Choquet capacity closed set compact convex sets compact set Conversely convex cone convex grains convex set Corollary countable covariance defined definition denote density disjoint equivalent euclidean granulometry euclidean space exists a sequence Hence homeomorphism hyperplane IDRACS implies induced integral geometry intersection invariant sets isotropic kernel LCS space Lebesgue measure Lemma linear variety measure 9 Minkowski functional Minkowski sum Moreover myope topology neighborhood nonempty number law Obviously open set Poisson network Poisson polyhedron Poisson process probability Proof r-mapping RACS Radon measure random closed set random set random variable relationship resp respect satisfied semi-markovian RACS smallest extension smallest u.s.c. SMIDRACS space law stationary subset subspace supporting function suppose symmetric u.s.c. mapping union unique unit ball unit vector