| 基于约束条件的三次NURBS曲线插值研究 |
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| 引用本文： | 陈绍平,何精雄,李真.基于约束条件的三次NURBS曲线插值研究[J].湖北民族学院学报(哲学社会科学版),2011,29(1). |
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| 作者姓名： | 陈绍平 何精雄 李真 |
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| 作者单位： | 武汉理工大学理学院,湖北,武汉,430070 |
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| 基金项目： | 武汉理工大学研究生自主创新研究基金 |
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| 摘 要： | 综合目前NURBS曲线插值方法,提出了一种新的三次NURBS曲线插值方法.该方法给出了求在型值点处曲率和切线方向约束条件下的三次NURBS曲线插值的方法,为以后通过NURBS曲线生成NURBS曲面奠定基础,并为工程设计人员进行NURBS曲线插值提供理论依据.
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| 关 键 词： | 非均匀有理B样条(NURBS)曲线 插值 曲率 切矢 |
On Interpolation of Cubic NURBS Curve Based on Constrained Conditions |
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| CHEN Shao-ping,HE Jing-xiong,LI Zhen.On Interpolation of Cubic NURBS Curve Based on Constrained Conditions[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2011,29(1). |
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| Authors: | CHEN Shao-ping HE Jing-xiong LI Zhen |
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| Institution: | CHEN Shao-ping,HE Jing-xiong,LI Zhen (School of Science,Wuhan University of Technology,Wuhan 430070,China) |
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| Abstract: | Based on the existing NURBS curve interpolation method,the paper provides a new cubic NURBS curve interpolation method.This method gives the order to the data points at the direction of curvature and tangent constraints under the condition of the cubic NURBS curve interpolation algorithm.The cubic NURBS curve is a basis on the research of NURBS curved surface,and it also provides a theoretic basis for engineering designers in doing NURBS curve interpolation. |
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| Keywords: | non-uniform rational B-spline curve interpolation curvature tangent |
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