Stereological formulae lor a eandoni system of non-intersecting spheres

1 January 1990

journal article
research article
Published by Taylor & Francis in Statistics

Vol. 21 (1) , 131-136
https://doi.org/10.1080/02331889008802233

Abstract

Summary, The points of a Poisson point process in R³ are taken as centres of spheres the diameters of which are equal to the corresponding nearest neighbour distances. Its planar section produces a system of circles. Formulae are given for fundamental characteristics of the systems of spheres and circles, in particular the pair correlation function of the planar point process of circle centres

Keywords

This publication has 4 references indexed in Scilit:

Stereological Problems for Spherical Particles—Second‐Order Theory
Mathematische Nachrichten, 1990
Stochastic Geometry and Its Applications
Published by Walter de Gruyter GmbH ,1987
On Correlations of Marked Point Processes
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On Stereological Estimation of Second‐order Characteristics and of the Hard‐core Distance of Systems of Sphere Centres
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