Algorithm for approximate NURBS surface skinning and its application

An algorithm for reducing control points in NURBS surface skinning is proposed in this paper. We first give distance estimation between the input curves and the surface that has been removed a knot. Then we further reduce the control points in NURBS surface skinning within the given tolerance by utilizing the ldquoresidual distancerdquo. Furthermore, the algorithm is applied to simplify a NURBS surface by giving distance estimation between the original surface and the knot-removal surface. Experimental results demonstrate the usability and quality of the proposed algorithm.