S. D. de Marchi, W. Erb, E. Francomano, F. Marchetti, E. Perracchione, Davide Poggiali
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Fake Nodes approximation for Magnetic Particle Imaging
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.