Titlebook: Geostatistical Simulation; Models and Algorithm Christian Lantuéjoul Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Conditional Simul

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B-cell

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cunning

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Brocas-Area

Stereology: some basic notionse information can be retrieved. Two different models are presented here. The first one deals with convex obj ects, the second one with polyconvex obj ects. Both models are treated in Hadwiger (1957). Other models can be found in Santaló (1977) and Serra (1982).

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Tessellationsption of the possible interpretations is given in the first section of this chapter. Then we turn to the presentation and the (conditional) simulation of two well known tessellation models, namely the Voronoi and the Poisson tessellations.

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Point processesodelling a wide range of natural phenomena (trees in a forest, precious stone deposits, earthquake epicentres, stars in galaxies, populations in settlements...). Thirdly, point processes can act as basic ingredients for designing more complicated models.

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Marek Jackiewicz,Eugeniusz Kuriatae rate of convergence of algorithms based on Markovian iterations (in particular Nummelin, 1984; Meyn and Tweedie, 1993; Tierney, 1994; Duflo, 1996). This chapter only deals with two cases corresponding to two different assumptions on the transition kernel of the algorithm:

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