Table of Contents
Textures and Microstructures
Volume 33, Issue 1-4, Pages 365-373

The de la Vallée Poussin Standard Orientation Density Function

Mathematical Geology and Computer Sciences in Geology, Bergakademie Freiberg University of Technology, Freiberg/SA D-09599, Germany

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The de la Vallée Poussin standard orientation density function νκ(ω)=C(κ)cos2κ(ω/2) is discussed with emphasis on the finiteness of its harmonic series expansion which, advantageously distinguishes it from other known standard functions. Given its halfwidth, the de la Vallée Poussin standard orientation density function allows, for example, to tabulate the degree of series expansion into harmonics required for its exact representation.