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.
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页码：65 / 72
页数：8
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