Statistics of ambiguous rotations
Abstract
The orientation of a rigid object can be described by a rotation that transforms it into a standard position. For a symmetrical object the rotation is known only up to multiplication by an element of the symmetry group. Such ambiguous rotations arise in biomechanics, crystallography and seismology. We develop methods for analyzing data of this form. A test of uniformity is given. Parametric models for ambiguous rotations are presented, tests of location are considered, and a regression model is proposed. A brief illustrative example involving orientations of diopside crystals is given.
 Publication:

arXiv eprints
 Pub Date:
 January 2017
 arXiv:
 arXiv:1701.01579
 Bibcode:
 2017arXiv170101579A
 Keywords:

 Mathematics  Statistics Theory;
 62H11
 EPrint:
 20 pages, 2 figures