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The construction of invariant random paths through three‐dimensional specimens
Author(s) -
Coleman Rodney
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.tb01249.x
Subject(s) - invariant (physics) , spheres , stereology , surface (topology) , mathematics , combinatorics , physics , geometry , computer science , biology , mathematical physics , astronomy , endocrinology
SUMMARY A quick way of constructing invariant random (IR) paths (sometimes called IUR or μ‐random) through three‐dimensional specimens is described. It uses the result that the secant joining two points chosen uniformly and independently on the surface of a sphere is IR. An application of this result to the stereology of multiple phase spheres is briefly introduced.