In the context of MPI approaches measuring the system's response to shifted delta peaks together with algebraic reconstruction methods are widely used; due to reasons of time consumption, also in practice, model-based approaches are desirable. The talk considers model based reconstruction for MPI with a particular emphasis on the multivariate situation. We investigate the MPI core operator and its ill-posedness properties. We obtain reconstruction formulae in 2D and 3D.

This presentation is part of Minisymposium “MS56 - Mathematical and Computational Aspects in Magnetic Particle Imaging (2 parts)”
organized by: Tobias Kluth (University of Bremen) , Christina Brandt (University of Hamburg) .

Authors:

Andreas Weinmann (Hochschule Darmstadt)

Keywords:

ill-posed problem, inverse problems, reconstruction