Algorithm for constructing range restricted histosplines

被引：2
|
作者：
Schmidt, JW [1 ]
Bastian-Walther, M [1 ]
机构：
[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany
来源：
NUMERICAL ALGORITHMS | 1998年 / 17卷 / 3-4期
关键词：
quadratic C-1 splines on twofold refined grids; tensor product splines; piecewise constant lower and upper bounds; constructive existence results;
D O I：
10.1023/A:1016684407650
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with numerical methods in range restricted histopolation. The proposal is to apply splines on refined grids. The ratios of the added split points are considered to be parameters. In this way, by choosing suitable spline classes, range restricted histosplines can always be constructed if the restrictions are compatible with the given histogram. We offer an algorithm for solving the bivariate problem on a rectangular grid which utilizes univariate results as well as tensor product techniques.
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页码：241 / 260
页数：20
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