Spherical spline quaternion interpolation has been done on sphere in Euclidean space using quaternions. In this paper, we have been done elliptic quaternion linear interpolation on ellipsoid using elliptic quaternions. This interpolation curve is called Elerp elliptic linear interpolation. In addition, ESquad (spline elliptic quaternion interpolation) is defined by using the group structure feature of elliptic quaternion on ellipsoid.
No takes yet. Share an insight, caveat, or question.
Rahebi et al. (2024) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: