| NURBS曲线曲面拟合数据点的迭代算法 |
| |
| 引用本文： | 史利民,王仁宏.NURBS曲线曲面拟合数据点的迭代算法[J].数学研究与评论,2006,26(4):735-743. |
| |
| 作者姓名： | 史利民 王仁宏 |
| |
| 作者单位： | 1. 山西大学数学系,山西,太原,030006
2. 大连理工大学应用数学系,辽宁,大连,116024 |
| |
| 基金项目： | 国家自然科学基金(69973010，10271022，60373093) |
| |
| 摘 要： | 本文推广了文献1]的结果,将文献1]中关于B样条曲线曲面拟合数据点的迭代算法推广至有理形式,给出了无需求解方程组反求控制点及权因子即可得到拟合NURBS曲线曲面的迭代方法．该算法和文献1]的算法本质上是统一的,而后者恰是前者的一种退化形式．文章还给出了收敛性证明以及一些定性分析．文末的数值实例说明该算法简单实用．
|
| 关 键 词： | B样条 NURBS 拟合 迭代 |
| 文章编号： | 1000-341X(2006)04-0735-09 |
| 收稿时间： | 11 12 2004 12:00AM |
| 修稿时间： | 2004年11月12 |
An Iterative Algorithm of NURBS Interpolation and Approximation |
| |
| SHI Li-min and WANG Ren-hong.An Iterative Algorithm of NURBS Interpolation and Approximation[J].Journal of Mathematical Research and Exposition,2006,26(4):735-743. |
| |
| Authors: | SHI Li-min and WANG Ren-hong |
| |
| Institution: | Department of Mathematics, Shanxi University, Taiyuan 030006, China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
| |
| Abstract: | Paper1]gave out the iterative algorithm of B-spline interpolation and approximation.In this paper,we generalize this result and present an iterative algorithm of NURBS interpolation and approximation.Using this algorithm,we can get the approximated NURBS curve or surface directly without solving a linear system to compute the weights and control points.This algorithm is consistent with the algorithm in paper1]and the latter is just the degenerate form of the former in essence.The numerical examples in this paper show us this method is feasible. |
| |
| Keywords: | B-spline NURBS scattered data fitting iterative |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究与评论》浏览原始摘要信息 |
| 点击此处可从《数学研究与评论》下载免费的PDF全文 |
