Author | Mรธller, Jesper. author |
---|---|
Title | Lectures on Random Voronoi Tessellations [electronic resource] / by Jesper Mรธller |
Imprint | New York, NY : Springer New York, 1994 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2652-9 |
Descript | VIII, 134 p. online resource |
1. Introduction and background -- 1.1. Definitions, assumptions, and characteristics -- 1.2. History and applications -- 1.3. Related tessellations -- 2. Geometrical properties and other background material -- 2.1. On the geometric structure of Voronoi and Delaunay tessellations -- 2.2. Short diversion into integral geometry -- 3. Stationary Voronoi tessellations -- 3.1. Spatial point processes and stationarity -- 3.2. Palm measures and intensities of cells and facets -- 3.3. Mean value relations -- 3.4. Flat sections -- 4. Poisson-Voronoi tessellations -- 4.1. The homogeneous Poisson process -- 4.2. Mean value characteristics of Poisson-Voronoi facets -- 4.3. On the distribution of the typical Poisson-Delaunay cell and related statistics -- 4.4. On the distribution of the typical Poisson-Voronoi cell and related statistics -- 4.5. Simulation procedures for Poisson-Voronoi tessellations and other related models -- References -- Subject and author index -- Notation index