On the formulation of the image reconstruction problem in magnetic particle imaging
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Mandy Grüttner
,
Tobias Knopp
Abstract
In magnetic particle imaging (MPI), the spatial distribution of magnetic nanoparticles is determined by applying various static and dynamic magnetic fields. Due to the complex physical behavior of the nanoparticles, it is challenging to determine the MPI system matrix in practice. Since the first publication on MPI in 2005, different methods that rely on measurements or simulations for the determination of the MPI system matrix have been proposed. Some methods restrict the simulation to an idealized model to speed up data reconstruction by exploiting the structure of an idealized MPI system matrix. Recently, a method that processes the measurement data in x-space rather than frequency space has been proposed. In this work, we compare the different approaches for image reconstruction in MPI and show that the x-space and the frequency space reconstruction techniques are equivalent.
The authors gratefully acknowledge the financial support of the German Federal Ministry of Education and Research (grant numbers 13N11086, 13N11088, and 13N11090) and the European Union and the State Schleswig-Holstein under grant number 122-10-004.
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©2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- Masthead
- Editorial
- Magnetic Particle Imaging – from particle science to imaging technology
- Tailoring the magnetic and pharmacokinetic properties of iron oxide magnetic particle imaging tracers
- Synthetic routes to magnetic nanoparticles for MPI
- Red blood cells as carriers in magnetic particle imaging
- Comparison of commercial iron oxide-based MRI contrast agents with synthesized high-performance MPI tracers
- Characterization of magnetic nanoparticle systems with respect to their magnetic particle imaging performance
- Magnetic spectroscopy of nanoparticle Brownian motion measurement of microenvironment matrix rigidity
- Perspectives on clinical magnetic particle imaging
- Magnetic particle imaging scanner with 10-kHz drive-field frequency
- Twenty-fold acceleration of 3D projection reconstruction MPI
- Improved field free line magnetic particle imaging using saddle coils
- On the formulation of the image reconstruction problem in magnetic particle imaging
- Numerically efficient estimation of relaxation effects in magnetic particle imaging
- Simulation of the magnetization dynamics of diluted ferrofluids in medical applications
- Safety considerations for magnetic fields of 10 mT to 100 mT amplitude in the frequency range of 10 kHz to 100 kHz for magnetic particle imaging
