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This is fine; there are lots of similar "intro to quaternions" pages around. One thing I haven't seen yet is someone showing how to interpolate between multiple quaternions over time, smoothly. (Hint: it's not slerp.) It's a non-trivial problem.


See "A General Construction Scheme for Unit Quaternion Curves with Simple High Order Derivatives" (Kim, 1995) for a simple extension of Hermite splines to Lie groups, including unit quaternions.


> Hint: it's not slerp.

What is slerp?


Spherical linear interpolation. (https://en.m.wikipedia.org/wiki/Slerp)




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