刘植¹, 肖凯¹, 江平¹, 谢进²

1. 合肥工业大学数学学院, 合肥 230009;
2. 合肥学院科学计算研究所, 合肥 230601

收稿日期:2014-11-21出版日期:2016-02-15发布日期:2016-01-22


基金资助:国家自然科学基金(11471093);高等学校博士学科点专项科研基金资助课题(20110111120026);安徽省教育厅自然科学重大研究项目(KJ2014ZD30);中央高校基本科研业务费专项经费(JZ2015HGXJ0175)

POINT CONTROL OF RATIONAL QUARTIC INTERPOLATING SPLINE

Liu Zhi¹, Xiao Kai¹, Jiang Ping¹, Xie Jin²

1. School of Mathematics, Hefei University of Technology, Hefei 230009, China;
2. Institute of Scientific Computing, Hefei University, Hefei 230601, China

Received:2014-11-21Online:2016-02-15Published:2016-01-22







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构造了一种有理四次插值样条,其分子为四次多项式分母为二次多项式.该有理插值样条是有界的、保单调且C²连续的,仅带有一个调节参数δ_#em/em#.研究了有理四次插值样条的性质,同时给出了相应的函数值控制、导数值控制方法.这种方法的优点在于能够根据实际设计需要简单地选取适宜的参数,达到对曲线的形状进行局部调控的目的.
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[1]	刘植, 陈晓彦, 江平, 张莉. 基于函数值的线性有理插值样条的区域控制[J]. 计算数学, 2011, 33(4): 367-372.

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