[Kovove materialy - Metallic materials]
    Fri - November 22, 2024 - 04:33 No. of hits : 1800308 ISSN 1338-4252 (online) ISSN 0023-432X (printed)
© Institute of Materials and Machine Mechanics, Slovak Academy of Sciences, Bratislava, Slovak Republic

VOLUME 34 (1996), Issue 6

Geometrical models of materials: random closed sets (in Czech)
SAXL, I.
vol. 34 (1996), no. 6, pp. 349 - 366

Abstract
The fundamentals of the theory of random closed sets in the Euclidean space of an arbitrary dimension d are presented and the selected characteristics of random closed sets are introduced. Namely, Choquet hitting functional, contact distribution functions, covariance and set covariance, K-function and pair correlation function. Further, the most important models of random closed sets are described and shortly discussed, in particular germ-grain model, Poisson point process, cluster fields, hard-core models, lattice models, Boolean model, Poisson hyperplanes etc.

Key words
theory of random closed sets, Euclidean space, Choquet hitting functional, contact distribution functions, covariance, K-function, pair correlation function

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Full title of this journal is bilingual: Kovové materiály - Metallic Materials.
The official abbreviation in accordance with JCR ISI is Kovove Mater.


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