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={K. Kunze and H. 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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