NURBS曲面光顺方法综述

NURBS surface fairing method

NURBS曲线、曲面的光顺处理是CAD/CAM中非常重要的问题。在研究了NURBS曲面光顺中的几种常用方法的基础上,针对现有光顺算法在多尺度特征并存曲面光顺中的不足,提出利用各向异性小波在表达高维信息的优势,将各向异性小波融入曲面的多分辨率分析中的思想,应用于NURBS曲面光顺,以达到对曲面特征的保存。

NURBS curve and surface fairing treatment is a very important issue in CAD/CAM. On the basis of a study of several common methods in NURBS surface fairing, aiming at the insufficiency of the existing fairing algorithm in multi-scale features coexisting surface fairing, a thought of combining anisotropic wavelet into surface multi-resolution analysis is put forward by use of the anisotropic wavelet＇ advantage in the expression of high-dimensional information, which can be applied into NURBS surface fairing to achieve the preservation of surface features.