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.

Abstract: The mapping of playing objects from one game to another. In one embodiment, generic attributes of an object may be mapped to game-specific attributes. The mapping may either change or maintain the look and feel of an object. For example, a fast but lightly-armed starship in one game may be mapped to a quick but weak warrior in another game.