Skip to main content
eScholarship
Open Access Publications from the University of California

On geodesics of the rotation group SO(3)

  • Author(s): Novelia, A
  • O’Reilly, OM
  • et al.
Abstract

© 2015, Pleiades Publishing, Ltd. 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.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Main Content
Current View