Table of Contents
Textures and Microstructures
Volume 35, Issue 2, Pages 113-144

Pole Figure Inversion Using Finite Elements Over Rodrigues Space

1Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York, USA
2Department of M&AE, EBU2, UC San Diego, 9500 Gilman Dr., La Jolla CA 92093-0411, USA

Received 31 January 2002

Copyright © 2002 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.


Using finite elements over Rodrigues space, methods are developed for the formation and inversion of pole figures. The methods take advantage of the properties of Rodrigues space, particularly the fact that geodesics corresponding to pole figure projection paths are straight lines. Both discrete and continuous pole figure data may be inverted to obtain orientation distribution functions (ODFs) in Rodrigues space, and we include sample applications for both types of data.