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math.NA2026
Debye Relaxation in Model-Based Multi-Dimensional Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Model-based reconstruction approaches for the medical imaging modality Magnetic Particle Imaging (MPI) are typically based on the Langevin model, which assumes instantaneous alignm…
math.NA2025
Higher Order Regularization using Harmonic Eigenfunctions for Model-Based Reconstruction in Magnetic Particle Imaging
Thomas März, Vladyslav Gapyak, Andreas Weinmann
Magnetic Particle Imaging (MPI) is a recent imaging modality where superparamagnetic nanoparticles are employed as tracers. The reconstruction task is to obtain the spatial particl…
math.NA2025
Reconstruction Formulae for 3D Field-Free Line Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Magnetic Particle Imaging (MPI) is a promising noninvasive in vivo imaging modality that makes it possible to map the spatial distribution of superparamagnetic nanoparticles by exp…