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Stereology of cubic particles: various estimators for the size distribution
Author(s) -
OHSER J.,
NIPPE M.
Publication year - 1997
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 - 10.1046/j.1365-2818.1997.2020762.x
Subject(s) - stereology , homothetic transformation , distribution (mathematics) , estimator , phase contrast microscopy , materials science , mathematics , geometry , statistics , mathematical analysis , physics , optics , biology , endocrinology
This paper deals with stereological problems for spatial systems of homothetic particles. In contrast to the traditional technique of estimating the size distribution of the particles from the sizes of section profiles we introduce a new method exploiting size and shape of the observed profiles. The shapes of the section profiles contain additional information about the sizes of the particles. This leads to improved stereological estimation of size distribution. As an example the case is studied when the particles form cubes with random edge length. The method is applied to a two‐phase WC–Co cermet structure with cubic particles.