带形状修改参数函数的多结点样条  

Many-knot Spline with Shape Modification of Parametric Fuction

作　　者：黄玉人[1] 

机构地区：[1]合肥工业大学数学系,安徽合肥230009

出　　处：《佳木斯大学学报（自然科学版）》2009年第1期116-118,125,共4页Journal of Jiamusi University：Natural Science Edition

摘　　要：多结点样条函数具有显示解、局部性等优点.它拟合变化平缓的数据较理想,但拟合波动频率高的数据,结果却有很大的误差.本文在多结点样条插值的基础上加入形状修改参数函数.参数函数含有若干可变参数,不同的参数可产生不同的形状修改效果.人们可以自由的选择修改区间,还可以控制被修改区间与未被修改区间的连续阶.实验表明这种方法有很好的效果.The multi - knot spline function has many advantages such as demonstrate solution, localization, and so on. It is an ideal method to fit data changing slowly. But the data of high - frequency fluctuations are fitted with large errors. This paper joins the shape modification of parametric function into the multi - knot spline interpolation. Parameter function contains a number of variable parameters. Different parameter can produce different shape modification effect. The support interval of the curve interpolation can be chosen freely, and the continuity of the modified part of curve with the unchanged part can be under control. The experiment indicated that the effect of this method is satisfactory.

关 键 词：参数函数 形状修改 多结点样条 数据拟合 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]