Fast Image Reconstruction by Exploiting Redundancies and Sparsities in the Magnetic Particle Imaging OperatorMS56

The relation between the measured signal and the particle distribution in MPI can be described by a linear system of equations. Since it is challenging to precisely model the particle physics, the system matrix is usually explicitly arranged. In this work we will present an alternative approach that approximates the individual matrix rows by tensor products of Chebyshev polynomials. This allows to fully diagonalize the MPI system matrix and in turn enables fast reconstruction.

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) .

Knopp Tobias (University Medical Center Hamburg-Eppendorf/Hamburg University of Technology)
image compression, image reconstruction