Texture, Stress, and Microstructure

Texture, Stress, and Microstructure / 1989 / Article

Open Access

Volume 10 |Article ID 634014 | https://doi.org/10.1155/TSM.10.243

A. Morawiec, J. Pospiech, "Properties of Projection Lines in the Space of the Orientation Distribution Function", Texture, Stress, and Microstructure, vol. 10, Article ID 634014, 22 pages, 1989. https://doi.org/10.1155/TSM.10.243

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

Received01 Feb 1988
Accepted10 Dec 1988


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.

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.

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