保形插值的样条函数方法  

Spline Function Method for Shape Preserving Interpolation

作　　者：方逵[1] 傅凯新[1] 

机构地区：[1]国防科技大学,湘潭大学

出　　处：《国防科技大学学报》1994年第4期88-93,共6页Journal of National University of Defense Technology

摘　　要：对于给定的任何型值数组，本文通过插入新结点构造了Ｃ１连续的保形插值二次和三次样条函数Ｓ（ｘ），最后还讨论了单调保形的插值样条函数。For any given sequence of data points,in this paper,a C1 shape preserving interpolating quadratic and cubic spline function S(x) by inserting some new knots are constructed by using Bernstein polynomails.The S(x) is simple and efficient to calculate.Finally the monotonic shape preserving spline function is also discussed.

关 键 词：样条函数 保单调性 保形插值 插值 单调保形 

分 类 号：O241.3[理学—计算数学]