Multi-degree reduction of tensor product Bézier surfaces

A matrix formula of the multi-degree reduction of tensor product Bezier surface approximation error is presented based on least squares normal(L 2).It gives the explicit representation of control points of the reduced multi-degree tensor product Bezier surface,through minimizing the distance function between the original Bezier surface and the reduced multi-degree tensor product Bezier surface over unit square [01] ′[01].During the multi-degree reduction process,it is considered that the constraint of high-order interpolations over corners.Examples show that the proposed approach has better approximation of the reduced surfaces than that of current methods.An iterative algorithm for degree reduction of Bezier surfaces is given.