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Stereological formulae based upon planar curve sections of surfaces in space
Author(s) -
Miles R. E.
Publication year - 1981
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.1365-2818.1981.tb01195.x
Subject(s) - curvature , intersection (aeronautics) , planar , surface (topology) , plane (geometry) , mathematics , space (punctuation) , geometry , stereology , function (biology) , mathematical analysis , plane curve , computer science , medicine , computer graphics (images) , evolutionary biology , engineering , biology , aerospace engineering , operating system
SUMMARY Attention is paid to the random curve (or curves) of intersection of a fixed surface in a spatial specimen by a random plane through that specimen. A formula is given for the expectation of the integral of a general function of curvature along that curve. This in turn yields a large family of formulae for stereological ratios.