B-spline surface fairing with boundary constraint

摘要

In reverse engineering, a reconstructed surface model generally is composed of several surfaces with G 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 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.