The quaternion-based spatial-coordinate and orientation-frame alignment problems

Hanson, A.J.

doi:10.1107/S2053273320002648

Acta Crystallographica Section A
Acta Crystallographica
Section A FOUNDATIONS AND ADVANCES

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Figure 10
(a) Any standard 2D coordinate frame corresponds to the columns of an ordinary rotation matrix, and is associated to the point $[(\cos\theta,\sin\theta)]$ on a unit circle. (b) The standard 2D coordinate frames associated with a sampling of the entire circle of points $[(\cos\theta,\sin\theta)]$ .

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

Volume 76| Part 4| July 2020| Pages 432-457

https://doi.org/10.1107/S2053273320002648

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