Elliptic Quaternion and Elliptic linear Interpolation

Abstract

Abstract On a sphere in Euclidean space, spherical spline quaternion interpolation has been carried out using quaternions. Using elliptic quaternions, we performed linear interpolation on an ellipsoid in this research. 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.