Table of Contents
Textures and Microstructures
Volume 10, Issue 3, Pages 243-264

Properties of Projection Lines in the Space of the Orientation Distribution Function

Institute for Metal Research, Polish Academy of Sciences, Cracow, Poland

Received 1 February 1988; Accepted 10 December 1988

Copyright © 1989 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 relationship between the orientation distribution function (ODF) and the pole figure is based on the geometry of projection lines in the orientation space.

The paper presents an analytical description of the projection lines and their transformations by symmetry operations. Using simple algebraical rules some properties of the projection lines as well as some properties of the associated projection lines (coupled due to the centrosymmetry of the pole figure) have been derived.