Shape Improvement of Surfaces

摘要

An automatic and local fairing algorithm for bicubic B-spline surfaces is proposed. A local fairness criterion selects the knot, where the spline surface has to be faired. A fairing step is then applied, which loally modifies the control net by a constrained least-squares approximation. It consists of increasing loally the smoothness of the surface form C~2 to C~3. Some extensions of this method are also presented, which show how to build further methods by the same basic fairing principle.