Random Tessellations in RdDepartment of Theoretical Statistics, Institute of Mathematics, University of Aarhus, 1986 - Geometric probabilities - 79 pages |
Contents
Flat sections of random tessellations | 5-20 |
Voronoi and Delaunay tessellations generated by | 7-1 |
References | |
Common terms and phrases
AARHUS According arbitrary associated assume ball boundary called centres centroids choice closed Combining concerning consider contained convex Corollary covariant d-polytope defined definition Delaunay tessellation denote depend easily equal ergodic estimate example expected facet characteristics Finally finite follows Formula Furthermore Geometry given Hence hyperplanes imply inside integral intensities interior intersection introduced invariant isotropic JtEt La-s lines mean value relations measurable function measure Mecke Miles Note Notice observed obtain orthogonal Palm distribution Palm measure particular Poisson point process precisely present Proof properties prove random tessellation relations relative respectively right hand side s-content s-facet s-flat satisfied space stationary stationary Poisson point studied subsets Suppose tessellation in Rd Theorem 6.3 theory translations typical cell typical s-facet unit vertices volume Voronoi tessellation Ε Σ Σ Σ