  The paper presents a novel method for interpolating rotations based on the
non-Abelian Kuramoto model on sphere S3. The algorithm, introduced in this
paper, finds the shortest and most direct path between two rotations. We have
discovered that it gives approximately the same results as a Spherical Linear
Interpolation algorithm. Simulation results of our algorithm are visualized on
S2 using Hopf fibration. In addition, in order to gain a better insight, we
have provided one short video illustrating the rotation of an object between
two positions.
