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Home  >  Volume 25 (2013)

On an Adaptive Method for Radial Basis Function Interpolation by Terhemen Aboiyar and Tersoo Luga. Volume 25 ( Nov. 2013). pp 147-156
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In this paper, we have used two radial basis functions namely, multiquadrics and the thin plate splines to implement the adaptive residual subsampling method in one dimension. Two functions with localized features were chosen to establish the efficiency of the adaptive method and illustrate the advantages of the adaptive radial basis function interpolation over radial basis function interpolation on uniform grids in one dimension. The numerical results show that the adaptive radial basis function interpolation method performed better with the thin plate splines than the multiquadrics and also the adaptive interpolation method yields a better approximation to functions that have localized features than radial basis function interpolation on uniform grids.     

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