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 计算数学  2011, Vol. 33 Issue (2): 125-132    DOI:
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1. 合肥学院 数学与物理系 合肥 230601;
2. 合肥工业大学 计算机与信息学院 合肥 230009;
3. 蚌埠学院 数学与物理系 安徽蚌埠 233000
A CLASS OF RATIONAL CUBIC TRIGONOMETRIC HERMITE INTERPOLATING SPLINES WITH PARAMETERS
Xie Jin1,2, Tan Jieqing2, Liu Zhi2, Li Shengfeng3
1. Department of Mathematics and Physics, Hefei University, Hefei 230601, China;
2. School of Computer & Information, Hefei University of Technology, Hefei 230009, China;
3. Department of Mathematics and Physics, Bengbu College, Bengbu 233000, Anhui, China
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Abstract

A class of rational cubic trigonometric Hermite interpolating splines with parameters is presented in this paper, which shares the same properties of standard cubic Hermite interpolating splines. The shape of the interpolation curves not only can be adjusted, but also more approximates the interpolated curves than standard cubic Hermite interpolating splines with taking different values of parameters. Moreover, by selecting proper control points, the spline curves can represent transcendantal curves exactly, such as tetracuspid and quadrifolium.

 引用本文: . 一类带参数的有理三次三角Hermite插值样条[J]. 计算数学, 2011, 33(2): 125-132. . A CLASS OF RATIONAL CUBIC TRIGONOMETRIC HERMITE INTERPOLATING SPLINES WITH PARAMETERS[J]. Mathematica Numerica Sinica, 2011, 33(2): 125-132.

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