Table of Contents
Textures and Microstructures
Volume 13, Issue 1, Pages 51-54

Parameterizations and Probability Distributions of Orientations

1Laboratory of Metallurgy of Polycrystalline Materials (LM2P), University of Metz, Ile du Saulcy, Metz 57045, France
2BASYS Software GmbH, Peterstr. 2–4, Aachen 5100, Germany

Received 8 May 1990

Copyright © 1990 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.


General normal distributions of orientations (proper rotations) with respect to different parameterizations are mathematically rigorously and notationally concisely represented. This includes their explicit formulations as well as their characterizations in terms of maximum entropy and their explict one–one correspondence.