Kriging of Regionalized Directions, Axes, and Orientations II: Orientations
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The problem to predict a rotation (orientation) from corresponding geocoded data is discussed and a general solution by virtue of embedding the group of rotations in a real vector space is presented. It is referred to as kriging in embedding spaces as developed in part I of this contribution, and basically the same arguments apply and lead to equivalent results. However, the assumptions of isotropy have to be restated and reinterpreted. A one-to-one correspondence of reasonable isotropy assumptions for rotations represented as axes and for rotations represented by matrices does not seem to exist.
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- Boogaart, K. G. v.d., Schaeben, H., 2002, Kriging of regionalized directions, axes, and orientations, I. Directions and axis: Math. Geol. v. 34, no 5, p. 479–503.Google Scholar
- Altmann, S. L., 1986, Rotations, quaternions, and double groups: Clarendon Press, Oxford, 315 p.Google Scholar
- Kuipers, J. B., 1999, Quaternions and rotation sequences: A primer with applications to orbits, aerospace, and virtual reality: Princeton University Press, Princeton, 371 p.Google Scholar