Table of Contents
Textures and Microstructures
Volume 28 (1996), Issue 1-2, Pages 93-104

Computer-Oriented Real Spherical Harmonics for Texture and Properties Analyses

1Instituto Superior Pedagógico Enrique José Varona, Marianao, Habana, Cuba
2Instituto de Cibernética, Matemática y Física, calle D #353, Habana 10400, Cuba

Received 5 September 1995; Accepted 5 March 1996

Copyright © 1996 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.


An algorithm system to generate symmetric real functional bases for Quantitative Texture Analysis (QTA) is presented. A review of the analytical conditions to be satisfied by the considered functions is given. Suitable two- and three-dimensional bases are proposed. All crystal and sample point groups are analyzed. Computer implementation of the suggested algorithms is straightforward.