| 分段保形二阶连续的三次样条插值 |
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| 引用本文： | 韩臻,郭幽燕.分段保形二阶连续的三次样条插值[J].北京交通大学学报(自然科学版),1999,23(3). |
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| 作者姓名： | 韩臻 郭幽燕 |
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| 作者单位： | 北方交通大学电子信息工程学院 |
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| 摘 要： | 给出了用二阶连续的三次样条进行密切插值的方法，并证明了这些二阶连续的三次样条具有分段保形性．计算机数值实验表明了用该方法构造的二阶连续样条具有高连续性的优点
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| 关 键 词： | 分段保形 插值 Hermite曲线 二阶连续三次样条 |
On Piecewise Shape-Preserving Cubic Spline Interpolations with Second Order Continuity |
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| Han Zhen,Guo Youyan.On Piecewise Shape-Preserving Cubic Spline Interpolations with Second Order Continuity[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1999,23(3). |
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| Authors: | Han Zhen Guo Youyan |
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| Abstract: | In this paper, we discuss the method for construction of osculatory interpolation using cubic spline with second order continuity. We prove that this cubic spline piecewisely preserves the shape of the data. Some computer numerical tests show the advantage of high order continuities which splines keeping second order continuity possess. |
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| Keywords: | piecewise shape preserving interpolation Hermite curve cubic spline with second order continuity |
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