中文摘要：

提出非均匀B样条曲面的一种整体光顺方法和一种局部光顺方法.首先利用双正交非均匀B样条小波,对非均匀B样条曲面进行小波分解;然后将若干层细节部分按一定的比例适当丢弃后实现曲面的整体光顺.利用小波表示的细节部分找出坏的节点,从而找出与坏节点有关的细节部分的控制顶点,通过对这些控制顶点进行修改,达到曲面局部光顺的目的.最后给出实例验证算法的有效性.

英文摘要：

Propose a global fairing algorithm and a local fairing algorithm for nonuniform B-spline surfaces. Use the biorthogonal nonuniform B-spline wavelets for the decomposition of B-spline surfaces. The global fairing of surfaces is realized through cutting several levels of detail parts with given proportion. The local faring is realized by modifying the control points of detail parts related to the bad knot pairs which are located through the analyzing the detail parts. Several examples are presented to validate the effectiveness of the proposed algorithms.