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axis angle of rotation to quaternions (Definition)

Quaternions can be defined from the axis angle of rotation by

⌊    ⌋    ⌊             ⌋
  q1        e1sin(α ∕2)
| q2 |    | e2sin(α ∕2) |
|⌈    |⌉ =  |⌈             |⌉
  q3        e3sin(α ∕2)
  q4         cos(α ∕2)
(1)


"axis angle of rotation to quaternions" is owned by bloftin.
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See Also: axis angle of rotation to direction cosine matrix, axis angle of rotation


Cross-references: axis angle of rotation, quaternions

This is version 3 of axis angle of rotation to quaternions, born on 2005-08-28, modified 2008-09-24.
Object id is 90, canonical name is AxisAngleOfRotationToQuaternions.
Accessed 2901 times total.

Classification:
Physics Classification45.40.-f (Dynamics and kinematics of rigid bodies)
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