On 1/16/2012 7:21 PM, Danni Coy wrote:
    (dual quaternions? Are they
    used in games?)

yes


While the GPU tends to do this particular step of the work, the answer in general is 'definitely'. One of the most immediate applications of dual quats was to improve the image quality of joints on characters that twist and rotate at the same time (shoulder blades, wrists, etc), at a minimal increase (or in some cases equivalent) computational cost over older methods.

http://isg.cs.tcd.ie/projects/DualQuaternions/

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