A rescaled method for RBF approximation
Numerical Analysis
2018-10-31 v1
Abstract
In the recent paper [8], a new method to compute stable kernel-based interpolants has been presented. This \textit{rescaled interpolation} method combines the standard kernel interpolation with a properly defined rescaling operation, which smooths the oscillations of the interpolant. Although promising, this procedure lacks a systematic theoretical investigation. Through our analysis, this novel method can be understood as standard kernel interpolation by means of a properly rescaled kernel. This point of view allow us to consider its error and stability properties.
Cite
@article{arxiv.1611.10034,
title = {A rescaled method for RBF approximation},
author = {Stefano De Marchi and Andrea Idda and Gabriele Santin},
journal= {arXiv preprint arXiv:1611.10034},
year = {2018}
}