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。
In the paper,a kind of C^2-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 C^2 continuous condition and error analysis of the spline interpolation are given. Numerical examples are presented.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第10期1390-1392,共3页
Journal of Hefei University of Technology：Natural Science
关键词
插值
有理三次样条
保单调
保凸
interpolation
rational cubic spline
monotonicity preserving
convexity preserving
