A. Morawiec, J. Pospiech, "Some Information on Quaternions Useful in Texture Calculations", Texture, Stress, and Microstructure, vol. 10, Article ID 582659, 6 pages, 1989. https://doi.org/10.1155/TSM.10.211
Some Information on Quaternions Useful in Texture Calculations
Crystal orientation is described by a rotation which can be expressed by a great number of different sets of parameters. Among these, the quaternion representation is the most economic one. The basic properties of quaternions are briefly summarized and their interrelationships with other orientation coordinates such as rotation axis and angle, the orientation matrix, and the Euler angles are given.
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