B-spline surface fairing with boundary constraint

In reverse engineering, a reconstructed surface model generally is composed of several surfaces with G(1) continuity. With respect to the low quality surfaces., the geometric continuity along the boundary may be destroyed after fairing operation is applied. So as to rebuild a global G(1) continuous model, a series of complex operations such as bridging, blending and filling are always inevitable. In this paper, a new fairing method, which is a B-spline surface fitting optimization subject to complicated boundary constraints, is presented. With this method, the users can avoid the complex surface editing work but focus on the surface quality. As a result, the final surface model will be with a higher quality while preserving the original geometric continuity as before. Some experimental results show that the above method is feasible and satisfying.