Polyharmonic splines: An approximation method for noisy scattered data of extra-large size

被引：11

作者：

Bozzini, Mira ^{[1
]}

Lenarduzzi, Licia ^{[2
]}

Rossini, Milvia ^{[1
]}

机构：

[1] Univ Milano Bicocca, Dip Mat Appl, I-20125 Milan, Italy

[2] IMATI CNR, I-20133 Milan, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 01期

关键词：

Polyharmonic B-splines; Interpolation; Noisy data; Outliers; Unevenly scattered data; RECONSTRUCTION;

D O I：

10.1016/j.amc.2010.01.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to provide a fast method, with a good quality of reproduction, to recover functions from very large and irregularly scattered samples of noisy data, which may present outliers. To the given sample of size N, we associate a uniform grid and, around each grid point, we condense the local information given by the noisy data by a suitable estimator. The recovering is then performed by a stable interpolation based on isotropic polyharmonic B-splines. Due to the good approximation rate, we need only M << N degrees of freedom to recover the phenomenon faithfully. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：317 / 331

页数：15

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