This article is cited in 4 scientific papers (total in 4 papers)
On Geodesics of the Rotation Group $SO(3)$
Alyssa Novelia, Oliver M. O'Reilly
Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720-1740, USA
Geodesics on $SO(3)$ are characterized by constant angular velocity motions and as great circles on a three-sphere. The former interpretation is widely used in optometry and the latter features in the interpolation of rotations in computer graphics. The simplicity of these two disparate interpretations belies the complexity of the corresponding rotations. Using a quaternion representation for a rotation, we present a simple proof of the equivalence of the aforementioned characterizations and a straightforward method to establish features of the corresponding rotations.
quaternions, constraints, geodesics, Listing’s law, Slerp
MSC: 70E40, 53D25
Alyssa Novelia, Oliver M. O'Reilly, “On Geodesics of the Rotation Group $SO(3)$”, Regul. Chaotic Dyn., 20:6 (2015), 729–738
Citation in format AMSBIB
\by Alyssa Novelia, Oliver M. O'Reilly
\paper On Geodesics of the Rotation Group $SO(3)$
\jour Regul. Chaotic Dyn.
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