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arXiv · 2304.00975

Mapped Variably Scaled Kernels: Applications to Solar Imaging

Francesco Marchetti·Emma Perracchione·Anna Volpara·Anna Maria Massone·Stefano De Marchi·Michele Piana
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Abstract

Variably scaled kernels and mapped bases constructed via the so-called fake nodes approach are two different strategies to provide adaptive bases for function interpolation. In this paper, we focus on kernel-based interpolation and we present what we call mapped variably scaled kernels, which take advantage of both strategies. We present some theoretical analysis and then we show their efficacy via numerical experiments. Moreover, we test such a new basis for image reconstruction tasks in the framework of hard X-ray astronomical imaging.

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Francesco Marchetti, Emma Perracchione, Anna Volpara, Anna Maria Massone, Stefano De Marchi, Michele Piana. 2023-04-03. Mapped Variably Scaled Kernels: Applications to Solar Imaging. https://arxiv.org/abs/2304.00975

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