Abstract: A method for an accurate approximation to Slerp function that is much faster to compute on current processors. Specifically, the present invention provides a method for obtaining an interpolated quaternion comprising forming a first product of a first quaternion and a first scaling function; forming a second product of a second quaternion and a second scaling function; and forming a sum of the first product and the second product, wherein the first scaling function is approximated by obtaining a first polynomial and wherein the second scaling function is approximated by obtaining a second polynomial, thus obtaining an interpolated quaternion that is in between the first quaternion and the second quaternion.