# The Bingham Distribution of Quaternions and Its Spherical Radon Transform in Texture Analysis

@article{Kunze2004TheBD, title={The Bingham Distribution of Quaternions and Its Spherical Radon Transform in Texture Analysis}, author={Karsten Kunze and Helmut Schaeben}, journal={Mathematical Geology}, year={2004}, volume={36}, pages={917-943} }

AbstractSpherical geometry of quaternions is employed to characterize the Bingham distribution on the 3-dimensional sphere
$${\mathbb{S}}^3 \subset {\mathbb{R}}^4 $$
as being uniquely composed of a bipolar, a circular and a spherical component. A new parametrization of its dispersion parameters provides a classification of patterns of crystallographic preferred orientations (CPO, or textures). It is shown that the Bingham distribution can represent most types of ideal CPO patterns; in… Expand

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