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

  • Morawiec A
  • Pospiech J
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Abstract

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.

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Morawiec, A., & Pospiech, J. (1989). Properties of Projection Lines in the Space of the Orientation Distribution Function. Texture, Stress, and Microstructure, 10(3), 243–264. https://doi.org/10.1155/tsm.10.243

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