Dealing with the Quaternion Antipodal Problem for Advecting Fields

Report No. ARL-MR-0969
Authors: Richard Becker
Date/Pages: December 2017; 18 pages
Abstract: 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° rotations.
Distribution: Approved for public release
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Last Update / Reviewed: December 1, 2017