| 三次NURBS曲线有理插值方法研究 |
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| 引用本文： | 周纪申,刘华伟.三次NURBS曲线有理插值方法研究[J].武汉理工大学学报(交通科学与工程版),2005,29(6):866-868,872. |
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| 作者姓名： | 周纪申 刘华伟 |
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| 作者单位： | 1. 中国舰船研究设计中心,武汉,430064
2. 武汉第二船舶设计研究所,武汉,430064;哈尔滨工程大学动力与核能工程学院,哈尔滨,150001 |
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| 摘 要： | 非均匀有理B样条（NURBS）方法，是STEP国际标准中关于工业产品几何定义的惟一数学方法．有理插值在构造NURBS曲线曲面以进行形状表示与设计中有着重要的意义，但是目前大多数都采用相对简单的非有理插值，关于复杂的有理插值的研究不多．文中给出了一种有理插值精确求解以及完整NURBS曲线生成的方法．
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| 关 键 词： | NURBS 曲线 权因子 控制点 |
| 收稿时间： | 2005-08-05 |
| 修稿时间： | 2005-08-05 |
Rational Interpolation of Cubic NURBS Curve |
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| Zhou Jishen,Liu Huawei.Rational Interpolation of Cubic NURBS Curve[J].journal of wuhan university of technology(transportation science&engineering),2005,29(6):866-868,872. |
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| Authors: | Zhou Jishen Liu Huawei |
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| Institution: | 1.CSIC 701 institute,Wuhan 430064;2.Wuhan Second Ship Design and Research Institute, Wuhan 430064;3.School of Power and Nuclear Engineering, Harbin Engineering University, Harbin 150001 |
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| Abstract: | NURBS is the only mathematic method about geometric definition of industrial product in the STEP international standard. The significance of rational interpolation of NURBS curve is obvious. But people often adopt non-rational interpolation. The study of rational interpolation is very little. An exact solution for rational interpolation and a method for the creation of complete NURBS curve are given in this paper. |
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| Keywords: | NURBS curve weight control point |
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