Table of Contents
Textures and Microstructures
Volume 7, Issue 3, Pages 171-185

ODF Calculation by Series Expansion from Incompletely Measured Pole Figures Using the Positivity Condition Part I—Cubic Crystal Symmetry

1Institut für Metallkunde und Metallphysik der TU Clausthal, Großer Bruch 23, Clausthal-Zellerfeld D-3392, Germany
2GkSS Forschungszentrum Geesthacht, Postfach 1160, Geesthacht D-2054, Germany

Received 29 July 1987

Copyright © 1987 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 calculation of orientation distribution functions (ODF) from incomplete pole figures can be carried out by an iterative procedure taking into account the positivity condition for all pole figures. This method strongly reduces instabilities which may occasionally occur in other methods.