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Estimating aggregate and overall characteristics from thick sections by transmission microscopy
Author(s) -
Miles R. E.
Publication year - 1976
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1976.tb02445.x
Subject(s) - curvature , aggregate (composite) , centroid , projection (relational algebra) , regular polygon , disjoint sets , poisson distribution , opacity , geometry , mathematics , plane (geometry) , mathematical analysis , physics , optics , materials science , statistics , nanotechnology , algorithm
SUMMARY The random spatial structure considered is the union X of an aggregate of random opaque convex particles in transparent space, the particle centroids being sited at the points of a homogeneous Poisson process. The model is thus the union of an aggregate of non‐necessarily‐convex disjoint regions. Expressions are derived for the fundamental stereological quantities V V , S V , K V (integrated mean curvature density) and G V (integrated gaussian curvature density) for X ; and for A A , L A and C A (integrated curvature density) for the projection of a slice of thickness t of this model onto a plane parallel to the slice, where t may take any non‐negative value. The estimates relevant to transmission microscopy suggested by this theory are presented.