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  Abstract Fast Construction of Accurate Quaternion Splines

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by Ravi Ramamoorthi
http://cdserver.icemt.iastate.edu/cd/s97cp/contents/papers/ramamoor/ramamoor.pdf
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Abstract:

In 1992, Barr et al. proposed a method for interpolating orientations with unit quaternion curves by minimizing covariant acceleration. This paper presents a simple improved method which uses cubic basis functions to achieve a speedup of up to three orders of magnitude. A new criterion for automatic refinement based on the Euler-Lagrange error functional is also introduced.

Citations

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