Patent 8427484 was granted and assigned to Pixar on April, 2013 by the United States Patent and Trademark Office.
An animation creator authors a transition between two different pre-authored motions of a degree of freedom of an object such as an animatronic or virtual character. The author selects an arbitrary position to begin the transition and the transition ends at the position where a subsequent state of a degree of freedom of the object begins. The selected position is arbitrary because an initial state of the degree of freedom of the object is not known until the complete motion of the object is determined. The transition is transformed to begin where the initial state ends and to end where the subsequent state begins. The transition is transformed to retain the general shape of the authored transition and to provide the same quality of motion as the pre-authored motions. The transformed transition may be scaled in time such that limits of velocity and/or acceleration for the object are not violated.