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On Stereological Estimation of Second‐order Characteristics and of the Hard‐core Distance of Systems of Sphere Centres
Author(s) -
Hanisch K. H.
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250803
Subject(s) - intersection (aeronautics) , planar , point (geometry) , core (optical fiber) , mathematics , point process , process (computing) , order (exchange) , great circle , simple (philosophy) , hard core , geometry , mathematical analysis , statistical physics , computer science , physics , statistics , geography , telecommunications , philosophy , cartography , computer graphics (images) , finance , epistemology , economics , operating system
For planar and thin sections of sphere systems integral equations are given which connect second‐order quantities of the point process of sphere centres with second‐order quantities of the point process of intersection circle centres. For special point process models, which serve as sphere centres, the planar second‐order quantities are calculated and discussed. Some simple stereo‐logical formulae for the estimation of the hard‐core distance are given when the sphere centres form a hard‐core process.