An Algorithm for the Inverse Solution of Bezier Surface Control Points

In this paper, the inverse solving of the control points of Bezier surface of degree(m,n) is converted into a process to solve m+1 systems of n+1 linear equations in n+1 unknowns and n+1 systems of m+1 linear equations in m+1 unknowns. The coefficient matrices of these systems of linear equations are the well-known Vandermonde matrices. The inverse solving of the Bezier surface control points is often to be dealt with in CAD/CAM surface modeling and this is effectively worked out here by solving the inverse matrices of the Vandermonde matrices. And a method is introduced for solving the inverse matrix of the Vandermonde matrix.