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

Hanson, A.J.

doi:10.1107/S2053273320002648

Acta Crystallographica Section A
Acta Crystallographica
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Figure 12
(a) The 3D portions of the quaternion reference-frame data q = (q₀, q_x, q_y, q_z), using different colors for q₀ ≥ 0 and q₀ < 0 in the unseen direction. Since $[|q_{{0}}| = (1-{{q_{{x}}}^{2}-{q_{{y}}}^{2}-{q_{{z}}}^{2}} )^{1/2}]$ , the complete quaternion can in principle be determined from the 3D display. (b) The 3D orientation-frame triads for each reference point (q₀, q_x, q_y, q_z) displayed at their associated q = (q_x, q_y, q_z).

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ISSN: 2053-2733

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

https://doi.org/10.1107/S2053273320002648

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