Premium
Fundamental stereological formulae based on isotropically orientated probes through fixed points with applications to particle analysis
Author(s) -
Jensen E. B.,
Gundersen H. J. G.
Publication year - 1989
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.1365-2818.1989.tb01476.x
Subject(s) - curvature , surface (topology) , estimator , particle (ecology) , stereology , mathematics , volume (thermodynamics) , mathematical analysis , geometry , physics , statistics , geology , medicine , oceanography , quantum mechanics
A new set of fundamental stereological formulae based on isotropically orientated probes through fixed points is derived. Volume, surface area and integrals of curvature can be estimated by this method. Some of the estimators require, however, local 3‐D information. The estimators can be applied locally to each of a sample of particles whereby moments of particle volume, particle surface area and particle integral of curvature can be estimated. The results are derived from a generalized version of the so‐called Blaschke‐Petkantschin formula.