HERMITE SCATTERED DATA FITTING BY THE PENALIZED LEAST SQUARES METHOD

被引：0
|
作者：
Zhou, Tianhe [1 ]
Han, Danfu [2 ]
机构：
[1] Zhejiang SCI TECH Univ, Dept Math, Hangzhou 310018, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310029, Zhejiang, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2009年 / 27卷 / 06期
关键词：
Bivariate splines; Scattered data fitting; Extension of penalized least squares method; STABLE LOCAL BASES; POLYNOMIAL SPLINE SPACES; APPROXIMATION POWER; MACRO-ELEMENTS; TRIANGULATIONS; INTERPOLATION;
D O I：
10.4208/jcm.2009.09-m2540
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a set of scattered data with derivative values. If the data is noisy or there is an extremely large number of data, we use an extension of the penalized least squares method of von Golitschek and Schumaker [Serdica, 18 (2002), pp.1001-1020] to fit the data. We show that the extension of the penalized least squares method produces a unique spline to fit the data. Also we give the error bound for the extension method. Some numerical examples are presented to demonstrate the effectiveness of the proposed method.
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页码：802 / 811
页数：10
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