Shape-preserving interpolation by splines using vector subdivision

被引：7
|
作者：
Goodman, TNT
Ong, BH
机构：
[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland
[2] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2005年 / 22卷 / 01期
关键词：
shape-preserving interpolation; subdivision; splines;
D O I：
10.1007/s10444-005-1174-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a local convexity preserving interpolation scheme using parametric C-2 cubic splines with uniform knots produced by a vector subdivision scheme which simultaneously provides the function and its first and second order derivatives. This is also adapted to give a scheme which is both local convexity and local monotonicity preserving when the data values are strictly increasing in the x-direction.
引用
收藏
页码：49 / 77
页数：29
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