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
收藏
页码：317 / 331
页数：15
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