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基于NURBS的自由曲面精确拟合方法研究
引用本文:孙玉文,吴宏基,刘健.基于NURBS的自由曲面精确拟合方法研究[J].机械工程学报,2004,40(3):10-14.
作者姓名:孙玉文  吴宏基  刘健
作者单位:大连理工大学机械工程学院,大连,116024
基金项目:国家自然科学基金(50275017),辽宁省自然科学基金(20010102087)
摘    要:提出了一类卷曲模型的NURBS曲面建模新方法。借助提出的截面轮廓设计技术,构造了点云数据的系列截面轮廓线,并以蒙皮操作为基础得到了能反映点云基本几何特征的基面。应用参数校正技术,给出了一种合理且比较有效的基面参数化方法,并由此用加权最小二乘算法实现了基于迭代的NURBS曲面的精确拟合。实际的算例结果验证了方法的实用性及精确性,非常适于模具型腔建模。

关 键 词:曲面拟合  非均匀有理B样条  蒙皮  CAD/CAM
修稿时间:2003年1月17日

RESEARCH ON THE METHOD OF ACCURATE NURBS SURFACE FITTING TO SCATTERED POINTS
Sun Yuwen Wu Hongji Liu Jian.RESEARCH ON THE METHOD OF ACCURATE NURBS SURFACE FITTING TO SCATTERED POINTS[J].Chinese Journal of Mechanical Engineering,2004,40(3):10-14.
Authors:Sun Yuwen Wu Hongji Liu Jian
Affiliation:Dalian University of Technology
Abstract:A NURBS surface fitting method with tight tolerance for wrap-around models is presented. Using the sectional design technique, two primary boundaries and some interior sectional curves are extracted. Then a base surface is constructed by skinning these curves. By means of the method of base surface parameterization, an accurate and smooth fitting surface is finally implemented. The practical example demonstrated the feasibility of the proposed method.
Keywords:Surface fitting Non-uniform rational B-spline Skinning CAD/CAM
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