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Generation of Johnson-Mehl crystals and comparative analysis of models for random nucleation

Part of: Geometric probability and stochastic geometry Stochastic processes

Published online by Cambridge University Press:  01 July 2016

Jesper Møller
Jesper Møller*
Affiliation:
University of Aarhus
*
* Postal address: Department of Theoretical Statistics, Institute of Mathematics, University of Aarhus, DK-8000 Aarhus C, Denmark.
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Abstract

Simulation procedures for typical Johnson-Mehl crystals generated under various models for random nucleation are proposed. These procedures include algorithms for simulating spatio-time-inhomogeneous Poisson processes. Empirical results for a particular class of Johnson-Mehl tessellations in two and three dimensions show remarkably different crystals.

Keywords

CRYSTAL CHARACTERISTICSINHOMOGENEOUS POISSON PROCESSESJOHNSON-MEHL TESSELLATIONSNUCLEATION-EXCLUSION MODELSRANDOM TESSELLATIONSSIMULATIONVORONOI TESSELLATIONS

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry
Secondary: 60G55: Point processes
Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 27 , Issue 2 , June 1995 , pp. 367 - 383
Copyright
Copyright © Applied Probability Trust 1995 

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Footnotes

The original version of this paper was presented at the International Workshop on Stochastic Geometry, Stereology and Image Analysis held at the Universidad Internacional Menendez Pelayo, Valencia, Spain, on 21–24 September 1993.

References

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