摘要
本文构造了一种三次三角样条函数 ,函数的每一段由三个函数值生成 ,具有C3连续性和较好的逼近性 ,可方便地进行插值 .基于同样的方法得出了一种C3连续的三角样条曲线 ,曲线也有较好的逼近性 ,而且具有局部性、保凸性等特性 .
This paper constructs a kind of cubic trigonometric spline functions. Each function segment is generated by three function values. The function is C3 continuous and approximate to given data well and can be used for interpolation conveniently. On the structure of the cubic trigonometric spline function, a construction method of a kind of preserving convexity cubic parametric trigonometric curve is given.
出处
《应用数学》
CSCD
北大核心
2001年第S1期26-29,共4页
Mathematica Applicata
关键词
逼近
插值
三角样条函数
Approximation
Interpolation
Trigonometric Spline Function