Reconstruction of B-spline surface by interpolating boundary curves and approximating inner points

In this paper,we present an algorithm for reconstruction of B-spline surface such that it interpolates the four given boundary curves and simultaneously approximates some given inner points.The main idea of our method is:first,we construct an initial surface which interpolates the four given boundary curves;then,while keeping the boundary control points of the initial surface unchanged,we reposition the inner control points of the surface with energy optimization method.Examples show that our algorithm is practicable and effective.