Surface Fitting to Curves with Energy Control

An algorithm for surface fitting to curves with energy control is proposed in this paper. Given four boundary curves and a set of unorganized curves, we impose the constrained energy on the desired surface, and covert the minimum energy problem into a linear equation system of the control points of the surface. We prove that there is one unique solution of this equation system. The proposed algorithm is independent of the coordinate system, and experience shows that the resultant surface is fair.