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arXiv · 1611.10034

A rescaled method for RBF approximation

Stefano De Marchi·Andrea Idda·Gabriele Santin
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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.

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Stefano De Marchi, Andrea Idda, Gabriele Santin. 2016-11-30. A rescaled method for RBF approximation. https://doi.org/10.1007/978-3-319-59912-0_3

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