Accurately reconstructing functions with discontinuities is the key tool in many bio-imaging applications as, for instance, in Magnetic Particle Imaging (MPI). In this paper, we apply a method for scattered data interpolation, named mapped bases or Fake Nodes approach, which incorporates discontinuities via a suitable mapping function. This technique naturally mitigates the Gibbs phenomenon, as numerical evidence for reconstructing MPI images confirms.

Fake Nodes approximation for Magnetic Particle Imaging

De Marchi S.;Erb W.;Francomano E.;Marchetti F.;Perracchione E.;Poggiali D.
2020

Abstract

Accurately reconstructing functions with discontinuities is the key tool in many bio-imaging applications as, for instance, in Magnetic Particle Imaging (MPI). In this paper, we apply a method for scattered data interpolation, named mapped bases or Fake Nodes approach, which incorporates discontinuities via a suitable mapping function. This technique naturally mitigates the Gibbs phenomenon, as numerical evidence for reconstructing MPI images confirms.
2020
20th IEEE Mediterranean Electrotechnical Conference, MELECON 2020 - Proceedings
978-1-7281-5200-4
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3350059
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