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基于非均匀B样条小波的NURBS曲面光顺
引用本文:李奇敏,柯映林,何玉林.基于非均匀B样条小波的NURBS曲面光顺[J].中国机械工程,2007,18(5):577-582.
作者姓名:李奇敏  柯映林  何玉林
作者单位:1. 重庆大学,重庆,400044
2. 浙江大学,杭州,310027
基金项目:重庆大学校科研和校改项目
摘    要:将非均匀B样条小波分解方法用于曲面光顺。通过整体光顺度量确定曲面整体光顺的方向,进而通过曲面整体小波分解实现曲面的整体光顺;通过曲面在节点对处的局部光顺度量,确定要光顺的节点及方向,然后用最小区域算法实现曲面的局部光顺;给出了一种由用户交互指定光顺区域的区域光顺方法;用细节部分的再次分解控制曲面的光顺误差;通过施加约束解决光顺前后曲面边界位置和切矢不变的问题;对于计算的稳定性及可能出现的奇异情况给出了论述。这些光顺算法在浙江大学开发的反求工程CAD软件RE-SOFT中的实际应用效果表明,基于非均匀B样条小波分解的NURBS曲面光顺算法能够有效地去除曲面上的坏点,改善曲面的品质。

关 键 词:小波  非均匀B样条曲面  光顺  光顺度量
文章编号:1004-132X(2007)05-0577-06
修稿时间:2005-11-18

NURBS Surface Fairing Based on Non-uniform B-spline Multi-resolution Wavelet Decomposition
Li Qimin,Ke Yinglin,He Yulin.NURBS Surface Fairing Based on Non-uniform B-spline Multi-resolution Wavelet Decomposition[J].China Mechanical Engineering,2007,18(5):577-582.
Authors:Li Qimin  Ke Yinglin  He Yulin
Affiliation:1. Chongqing Unversity, Chongqing, 400044 2. Zhejiang University, Hangzhou,310027
Abstract:Non-uniform B-spline multi-resolution wavelet decomposition was applied to the fairing of NURBS surface. The global fairing direction was determined by global faring measure of two parametrical directions, and then the global fairing of surface was realized through global decom- position of surface. Local fairing of surface was realized by minimal region algorithm, in which the bad knot and fairing direction was determined by local fairing measure of knot pair. A region fairing method was proposed, in which the fairing region was specified by the user interactively. The problem of position and tangent preserving of end point was solved by adding constraints. The robustness of wavelet decomposition and possible singularity were presented. The application result in RE-SOFT, a reverse engineering software developed by Zhejiang University, shows that the fairing algorithm based on non-uniform B-spline wavelets decomposition can efficiently remove the bad points on surface and improve quality of the surface.
Keywords:wavelet  NURBS surface  fairing  fairing measure
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