Comonotone shape-preserving spline histopolation

被引：7

作者：

Fischer, Malle ^{[1
]}

Oja, Peeter ^{[1
]}

Trossmann, Helle ^{[1
]}

机构：

[1] Univ Tartu, Inst Appl Math, EE-50409 Tartu, Estonia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 200卷 / 01期

关键词：

histopolation; rational spline; comonotone shape-preserving; weak alternation of data;

D O I：

10.1016/j.cam.2005.12.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Algorithms are presented for the construction of histopolating splines consisting of linear/linear rational or quadratic polynomial pieces. A unique comonotone histospline of such kind exists for any histogram with weak alternation of data. In general case, without weak alternation of data, a modified comonotone spline histopolation strategy should be used. The method is implemented via the representation with histogram heights and knot values of first derivatives of the spline. Numerical examples are given. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：127 / 139

页数：13

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