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Published in:
2008 | OriginalPaper | Chapter
Quasi-interpolation for Data Fitting by the Radial Basis Functions
Authors : Xuli Han, Muzhou Hou
Published in: Advances in Geometric Modeling and Processing
Publisher: Springer Berlin Heidelberg
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Quasi-interpolation by the radial basis functions is discussed in this paper. We construct the approximate interpolant with Gaussion function. The suitable value of the shape parameter is suggested. The given approximate interpolants can approximately interpolate, with arbitrary precision, any set of distinct data in one or several dimensions. They can approximate the corresponding exact interpolants with the same radial basis functions. The given method is simple without solving a linear system. Numerical examples show that the given method is effective.