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.
Mapped Variably Scaled Kernels: Applications to Solar Imaging / Marchetti, F.; Perracchione, E.; Volpara, A.; Massone, A. M.; De Marchi, S.; Piana, M.. - 14108:(2023), pp. 577-592. (Intervento presentato al convegno International Conference on Computational Science and Its Applications ICCSA 2023 tenutosi a Athens (Greece) nel 3-6 July 2023) [10.1007/978-3-031-37117-2_39].
Mapped Variably Scaled Kernels: Applications to Solar Imaging
Perracchione E.;
2023
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.File | Dimensione | Formato | |
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Mapped_Variably_Scaled_Kernels_Applications_to_Solar_Imaging.pdf
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Kernels_Awake_for_a_Fake_Remake_1.pdf
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https://hdl.handle.net/11583/2984933