Motion Animation using Study's Quadric

摘要

The main contribution of this paper is a new way of designing motion animations, by using any conventional curve design algorithm. Given a set of key frames, each representing a rigid body in Euclidean three-space, mapped via the kinematic mapping to points onto the Study quadric. From there the points are projected to an affine hyper-space with Euclidean norm, where any standard curve design technique can be used. Finally points of the generated curve are mapped back and represent frames interpolating or approximating a motion animation.