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Pros of dual quaternions
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AlexanderFabisch committed Oct 6, 2024
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Expand Up @@ -367,8 +367,14 @@ component and the scalar 0, and rotation quaternions have the same ambiguity.

**Pros**

* No singularities.
* Normalization is a simple operation: scaling the dual quaternion to unit
norm. Note that only the orientation part defines the norm of the quaternion,
since :math:`\epsilon^2 = 0` (see
:func:`~pytransform3d.transformations.check_dual_quaternion`).
* Easy interpolation with
:func:`~pytransform3d.transformations.dual_quaternion_sclerp`.
* Efficient and compact form for representing transformations [7]_.
* No singularities.

**Cons**

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