Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/978-3-540-79246-8_45 | GMP |
Keywords | Field | DocType |
distinct data,approximate interpolant,approximate interpolants,linear system,radial basis function,numerical example,gaussion function,arbitrary precision,shape parameter,corresponding exact interpolants,data fitting,interpolation,approximation | Radial basis function network,Mathematical optimization,Radial basis function,Linear system,Curve fitting,Arbitrary-precision arithmetic,Mathematical analysis,Interpolation,Shape parameter,Basis function,Mathematics | Conference |
Volume | ISSN | ISBN |
4975 | 0302-9743 | 3-540-79245-7 |
Citations | PageRank | References |
8 | 0.48 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xuli Han | 1 | 159 | 22.91 |
| Muzhou Hou | 2 | 50 | 4.49 |