
Accession Number : AD0722333
Title : TwoDimensional Systematic Point Count for Volume Fraction Analysis from a Poisson Theoretic Approach.
Descriptive Note : Final rept.,
Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C
Personal Author(s) : Grimes,James P. ; Navid,Burton N.
Report Date : 31 MAR 1971
Pagination or Media Count : 16
Abstract : In many fields of scientific investigation, the structure of cellular aggregates or random arrays of discrete particles imbedded in some solid is observed on a twodimensional section and inferences drawn therefrom as to the real structure in three dimensions. A fast, reliable method for the quantitative determination of the percentages of these micro or macroconstituents would be of great benefit for structural studies in the solid state. One of the techniques most often used for the estimation of volume fractions from measurements made on a random twodimensional section is that of the twodimensional systematic point count, i.e., that the fractional number of regularly dispersed points falling within the boundaries of a twodimensional feature on a plane provides an unbiased estimate of the areal fraction, and consequently of the volume fraction, of that feature. The twodimensional systematic point count is demonstrated here from a Poisson theoretic approach. In addition, two methods of application are investigated: one using a normal approximation, the other, the Poisson distribution. The relationship between the latter and the pointcount precedure is also indicated. (Author)
Descriptors : (*STATISTICAL ANALYSIS, MATHEMATICAL PREDICTION), (*PARTICLES, COUNTING METHODS), STATISTICAL DISTRIBUTIONS, CONFIDENCE LIMITS, PROBABILITY, SAMPLING, QUANTITATIVE ANALYSIS, PETROLOGY
Subject Categories : Statistics and Probability
Test Facilities, Equipment and Methods
Distribution Statement : APPROVED FOR PUBLIC RELEASE