Consistent representations of and conversions between 3D rotations

@article{Rowenhorst2015ConsistentRO,
  title={Consistent representations of and conversions between 3D rotations},
  author={D. Rowenhorst and A. Rollett and G. Rohrer and M. Groeber and M. Jackson and P. Konijnenberg and M. Graef},
  journal={Modelling and Simulation in Materials Science and Engineering},
  year={2015},
  volume={23},
  pages={083501}
}
In materials science the orientation of a crystal lattice is described by means of a rotation relative to an external reference frame. A number of rotation representations are in use, including Euler angles, rotation matrices, unit quaternions, Rodrigues–Frank vectors and homochoric vectors. Each representation has distinct advantages and disadvantages with respect to the ease of use for calculations and data visualization. It is therefore convenient to be able to easily convert from one… Expand
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