| 开放均匀B样条曲线反算的一种通用算法 |
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| 引用本文： | 柴本成,李继芳,张怡芳.开放均匀B样条曲线反算的一种通用算法[J].计算机工程与设计,2007,28(18):4429-4430,4474. |
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| 作者姓名： | 柴本成 李继芳 张怡芳 |
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| 作者单位： | 浙江万里学院计算机与信息学院 浙江宁波315100 |
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| 基金项目： | 浙江万里学院校科研和教改项目 |
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| 摘 要： | 已知型值点反求控制多边形在计算机辅助几何设计(CAGD)等领域的实际应用中经常涉及,开放均匀B样条曲线的反算过程相对复杂.基于此,提出了一种通用的反算算法,并以三次样条曲线为例,分析了开放均匀B样条曲线反算的过程,详细给出了B样条基函数、反算矩阵,并求出了控制顶点,解决了开放均匀B样条曲线拟合中的反算问题.
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| 关 键 词： | 开放均匀B样条曲线 控制顶点 反算 矩阵 算法 均匀 样条曲线拟合 反算 通用算法 curve open calculation inverse algorithm 问题 控制顶点 矩阵 基函数 分析 三次样条曲线 过程 中经 应用 CAGD 几何设计 |
| 文章编号： | 1000-7024（2007）18-4429-02 |
| 修稿时间： | 2006-10-19 |
General algorithm for inverse calculation of open uniform B-spline curve |
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| CHAI Ben-cheng,LI Ji-fang,ZHANG Yi-fang.General algorithm for inverse calculation of open uniform B-spline curve[J].Computer Engineering and Design,2007,28(18):4429-4430,4474. |
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| Authors: | CHAI Ben-cheng LI Ji-fang ZHANG Yi-fang |
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| Affiliation: | Faculty of Computer Science and Information Technology, Zhejiang Wanli University, Ningbo 315100, China |
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| Abstract: | The compute of control polygon passing through the given data points is frequently applied in CAGD. A general algorithm is put forward to resolve the complex inverse-calculating problem of reconstructing the open uniform B-spline curves. In order to de- scribe the method of inverse calculation, a triple open uniform B-spline curve is also proved to analyze the general algorithm via giving the process of inverse calculation, the B-spline base functions and its matrix. The control points are achieved and the curve is reco- nstructed finally. |
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| Keywords: | open uniform B-spline curve control points inverse calculation matrix algorithm |
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