Title
CSRBF-Based Quasi-interpolation for Accurate and Fast Data Fitting
Abstract
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.
Year
DOI
Venue
2015
10.1109/CADGRAPHICS.2015.30
2015 14th International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics)
Keywords
Field
DocType
Compactly supported radial basis functions,Quasi-interpolation,First derivative,Data fitting
Computer vision,Curve fitting,Computer science,Interpolation,Algorithm,Artificial intelligence
Conference
Citations 
PageRank 
References 
0
0.34
16
Authors
4
Name
Order
Citations
PageRank
Shengjun Liu111613.79
Cai Yang200.34
Xinru Liu373.81
Ji-An Duan4114.04