QUADRATIC AND RELATED EXPONENTIAL SPLINES IN SHAPE PRESERVING INTERPOLATION

被引：8
|
作者：
SCHMIDT, JW [1 ]
HESS, W [1 ]
机构：
[1] TECH UNIV DRESDEN,DEPT MATH,DDR-8027 DRESDEN,GER DEM REP
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1987年 / 18卷 / 03期
关键词：
COMPUTER PROGRAMMING - Algorithms;
D O I：
10.1016/0377-0427(87)90005-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For quadratic and related exponential splines necessary and sufficient conditions are given under which the properties of convexity or monotonicity carry over from the data set to the interpolants. It turns out that for quadratic splines the problems of convex or monotone interpolation may be not solvable. However, when using the more general exponential splines, the shape is preserved if the parameters occurring now are chosen approximately. Furthermore, since convex or monotone spline interpolants are in general not uniquely determined, a strategy for selecting one of them is proposed.
引用
收藏
页码：321 / 329
页数：9
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