6533b7dbfe1ef96bd1270ce9

RESEARCH PRODUCT

Fake Nodes approximation for Magnetic Particle Imaging

Wolfgang ErbFrancesco MarchettiStefano De MarchiElisa FrancomanoEmma PerracchioneDavide Poggiali

subject

Computer scienceComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONradial basis functionsFunction (mathematics)Magnetic Particle ImagingClassification of discontinuitieskernelsinterpolationGibbs phenomenonSettore MAT/08 - Analisi Numericasymbols.namesakeMagnetic particle imagingsymbolsKey (cryptography)Radial basis functioninterpolation; kernels; Magnetic Particle Imaging; radial basis functionsGFadial basis functionAlgorithmComputingMethodologies_COMPUTERGRAPHICSInterpolation

description

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.

yearjournalcountryeditionlanguage
2020-06-012020 IEEE 20th Mediterranean Electrotechnical Conference ( MELECON)
https://doi.org/10.1109/melecon48756.2020.9140583