Dealing with the Quaternion Antipodal Problem for Advecting Fields
Technical Report,01 Aug 2017,30 Sep 2017
US Army Research Laboratory US Army Research Laboratory United States
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Quaternion representations of rotations are proposed for advecting rotations in large strain simulations. One algorithm enforces continuity to resolve the ambiguity created by equivalent antipodal representations and the other proposes using products of quaternions to ameliorate these issues. The results of both are unique and continuous, but the former does not capture the correct periodicity and the latter requires special treatment for 180 deg rotations.
- Numerical Mathematics
- Theoretical Mathematics