| 一类代数曲线的光滑拼接及插值 |
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| 引用本文： | 师晶,孙明灿.一类代数曲线的光滑拼接及插值[J].江西科学,2013(6):713-716. |
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| 作者姓名： | 师晶 孙明灿 |
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| 作者单位： | 闽南理工学院信息管理系,福建石狮362700 |
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| 基金项目： | 福建省教育厅科技项目（JB12242）. |
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| 摘 要： | 研究一类代数曲线的光滑拼接和插值问题,得到该曲线光滑拼接定理、全凸性定理及插值逼近算法.结果表明,对于给定的插值条件,通过选取合适的参数,此算法在插值逼近效果上好于有理二次Bezier曲线.
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| 关 键 词： | 代数曲线 光滑拼接 全凸性 插值算法 |
Smooth Connection and Interpolation with a Class of Algebraic Curves |
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| SHI Jing,SUN Ming-can.Smooth Connection and Interpolation with a Class of Algebraic Curves[J].Jiangxi Science,2013(6):713-716. |
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| Authors: | SHI Jing SUN Ming-can |
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| Institution: | ( Department of Information and Management, Minnan University of Science and Technology, Fujian Shishi 362700 PRC) |
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| Abstract: | In this paper,the problems of smooth connection and the algorithm of interpolation with a class of algebraic curves are investigated. The smooth connection theorems and global convexity theorem are obtained. The algorithm of interpolation and approximation for the class of algebraic curves are also given. The results show that, if the parameters are chosen properly, the algorithm can approximate the interpolated functions better than the rational quadratic Bezier with given interpolating conditions. |
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| Keywords: | Algebraic curves Smooth connection Global convexity Algorithm of interpolation |
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