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Stereological meaning of the inflection point count
Author(s) -
DeHoff R. T.
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.tb01194.x
Subject(s) - inflection point , boundary (topology) , mathematics , curvature , saddle point , point (geometry) , meaning (existential) , saddle , resolution (logic) , geometry , mathematical analysis , computer science , artificial intelligence , mathematical optimization , psychology , psychotherapist
SUMMARY The relationship between the inflection point count on a representative microsection and the integral‐asymptotoic line curvature of saddle surface in the system constitutes a new fundamental stereological equation. While the geometric meaning of this quantity cannot be readily visualized, it is unambiguous, and general for all structures. Combinations of the inflection point count with other descriptors of two‐dimensional structures provide potentially useful descriptors of particle roughness, scale, and some aspects of shape. Like all measures of boundary properties, the inflection point count is sensitive to resolution; it is thus essential to report the level of resolution in conjuction with any experimental determination of I A .