CSRBF-based Quasi-interpolation for Accurate and Fast Data Fitting

被引：2

作者：

Liu, Shengjun ^{[1
,2
]}

Yang, Cai ^{[2
]}

Liu, Xinru ^{[2
]}

Duan, Jian ^{[1
]}

机构：

[1] Cent S Univ, State Key Lab High Performance Complex Mfg, Changsha 410083, Hunan, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

2015 14TH INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN AND COMPUTER GRAPHICS (CAD/GRAPHICS) | 2015年

关键词：

Compactly supported radial basis functions; Quasi-interpolation; First derivative; Data fitting; RADIAL BASIS FUNCTIONS; SCATTERED DATA; MULTIVARIATE INTERPOLATION; APPROXIMATION; SCHEME; ERROR;

D O I：

10.1109/CADGRAPHICS.2015.30

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, quasi-interpolation based on compactly supported radial basis functions (CSRBFs) is presented for more accurate and efficient data fitting compared with global RBFs. Firstly, a CSRBF-based quasi-interpolator is constructed considering only the positions of the given data and their values. Then we make use of the first derivatives to propose a new quasi-interpolator which can achieve higher approximate order and better shape-preserving. Numerical examples demonstrate that the proposed CSRBF-based quasi-interpolation schemes are valid.

引用

页码：65 / 72

页数：8

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