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MEASUREMENT OF PARTICLE SHAPE BY FOURIER ANALYSIS

MEASUREMENT OF PARTICLE SHAPE BY FOURIER ANALYSIS SUMMARY An objective procedure is described for quantifying the shape of two‐dimensional closed curves from projections or sections of particles, e.g., sand grains. The curves are plotted in polar coordinates r and θ, and a harmonic analysis is made of the function r(θ) by numerical analysis of measurements at equally spaced sample points along the curves. Quantities corresponding to the conventional properties of sphericity and roundness are derived from the Fourier coefficients. Three different measures of roundness are proposed and shown to correlate with visually estimated roundness classes, though also depending to some extent on sphericity. An attempt is described to study the interaction between these two properties by analysis of synthetically rounded plastic particles. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Sedimentology Wiley

MEASUREMENT OF PARTICLE SHAPE BY FOURIER ANALYSIS

Sedimentology , Volume 13 (3‐4) – Dec 1, 1969

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References (15)

Publisher
Wiley
Copyright
Copyright © 1969 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0037-0746
eISSN
1365-3091
DOI
10.1111/j.1365-3091.1969.tb00170.x
Publisher site
See Article on Publisher Site

Abstract

SUMMARY An objective procedure is described for quantifying the shape of two‐dimensional closed curves from projections or sections of particles, e.g., sand grains. The curves are plotted in polar coordinates r and θ, and a harmonic analysis is made of the function r(θ) by numerical analysis of measurements at equally spaced sample points along the curves. Quantities corresponding to the conventional properties of sphericity and roundness are derived from the Fourier coefficients. Three different measures of roundness are proposed and shown to correlate with visually estimated roundness classes, though also depending to some extent on sphericity. An attempt is described to study the interaction between these two properties by analysis of synthetically rounded plastic particles.

Journal

SedimentologyWiley

Published: Dec 1, 1969

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