| 分段有理三次保形样条插值 |
| |
| 引用本文： | 黄日朋.分段有理三次保形样条插值[J].合肥工业大学学报(自然科学版),2007,30(10):1390-1392. |
| |
| 作者姓名： | 黄日朋 |
| |
| 作者单位： | 合肥工业大学,理学院,安徽,合肥,230009 |
| |
| 摘 要： | 该文通过有理基函数构造了一种包含2个形状参数ri,ti的C2分段连续有理三次(3/1)型样条插值函数。只要选择适当的参数值,就可以使该样条函数保形插值于给定的单调或凸数据组;给出了这种样条函数插值的C2连续条件和误差分析;最后通过数值实例阐明了这种构造的可行性。
|
| 关 键 词： | 插值 有理三次样条 保单调 保凸 |
| 文章编号： | 1003-5060(2007)10-1390-03 |
| 修稿时间： | 2006年11月19 |
Shape preserving piecewise rational cubic spline interpolation |
| |
| HUANG Ri-peng.Shape preserving piecewise rational cubic spline interpolation[J].Journal of Hefei University of Technology(Natural Science),2007,30(10):1390-1392. |
| |
| Authors: | HUANG Ri-peng |
| |
| Abstract: | In the paper,a kind of C2-piecewise rational cubic spline function(3/1) involving two tension parameters,ti and ri,is constructed by using the rational basis function.It is observed that under certain conditions the interpolation of the spline function preserves monotonic and convexity properties of the given data sets.The C2 continuous condition and error analysis of the spline interpolation are given.Numerical examples are presented. |
| |
| Keywords: | interpolation rational cubic spline monotonicity preserving convexity preserving |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
