Random Laguerre Tessellations
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Beschreibung
Random tessellations are classical models from stochastic geometry which are used in a wide range of application areas. In particular, Voronoi tessellations have raised the interest of researchers over the last century. Laguerre tessellations are weighted generalizations of Voronoi tessellations which possess promising geometric properties.
This work gives an overview over Laguerre tessellations in d-dimensional Euclidean space. Tessellations generated by stationary marked Poisson processes are of special interest, since some moments and distributions of their geometric characteristics can be computed analytically. The planar and the spatial case, which are the most important ones for applications, are presented in detail. As an example of application, the use of Laguerre tessellations as models for the microstructure of cellular materials is discussed.
Autor*in
Claudia Lautensack
Themen in »Random Laguerre Tessellations«
Geometrie Kontaktverteilung Mathematik Microstructure Mikrostruktur Mittelwertformeln Palm distribution Palmsche Verteilung Poisson process Poissonprozess Schaummodellierung Voronoi tessellation Voronoi-Mosaik Zellcharakteristiken cell characteristics