| 参数三次H-样条在曲线拟合中的应用 |
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| 引用本文： | 许有信
,李靖谊
,丁秋林.参数三次H-样条在曲线拟合中的应用[J].南京航空航天大学学报,1986(4). |
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| 作者姓名： | 许有信 李靖谊 丁秋林 |
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| 摘 要： | 本文系文1]的续篇,主要方面内容包括:严格推导了根据曲线型位点求H-样条的特征多边形顶点的公式;解决了H-样条曲线拟合端点条件的处理方法;对H-样条曲线拟合的保凸条件进行了探讨;通过实践,归纳了H-样条曲线拟合的工程应用特点。最后指出:H-样条曲线由于方法简单,计算量小,适用于微机CAD/CAM系统中的曲线设计和拟合。
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| 关 键 词： | 应用数学 样条函数 曲线拟合 |
The Application of Parametric Cubic H-Spline to Curve Design and Approximation |
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| Xn Youxin Li Jingrji Ding Qiulin.The Application of Parametric Cubic H-Spline to Curve Design and Approximation[J].Journal of Nanjing University of Aeronautics & Astronautics,1986(4). |
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| Authors: | Xn Youxin Li Jingrji Ding Qiulin |
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| Institution: | Xn Youxin Li Jingrji Ding Qiulin |
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| Abstract: | This paper is a further development of an earlier one1],and contains the following aspects.1.Deriving the H-Spline calculation formula of vertices of polygon according to the points on curve;2.Developing rew methods used to define the boundary conditions of H-Spline curve approximation;3.Discussing the necessary conditions for having neither singular point nor unwished-for inflection point.Through practical use,the authors have surveyed some of the advantages of H-Spline curve approximation and indicated that H-Spline curve and surface are very useful in micro-computer CAD/CAM software systems. |
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| Keywords: | applied mathematics spline function curve fitting |
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