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A Geodesic Octonion Metric for Grain Boundaries: Supplementary Material

This page provides supplementary material for an article that deals with the description of grain boundaries using octonions (8-D hypercomplex numbers). T. Francis, I. Chesser, E.A. Holm and M. De Graef. “A New Octonion Metric for Grain Boundary Interpolations”. Acta Materialia, 166:135-147 (2019). DOI:  The main result of the paper is a geodesic arc length metric …

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Iterative Pole Figure Inversion Approach

In this article, we propose a novel approach to the pole figure inversion problem, i.e., the reconstruction of the Orientation Distribution Function (ODF), based on a number of Pole Figures (PFs) derived either from X-ray diffraction measurements or from electron backscatter diffraction (EBSD) data. ¬†Our method employs a modified equal-area Lambert projection for uniform sampling …

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