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  4. Reconstruction of the magnetic particle imaging system matrix using symmetries and compressed sensing
 
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Reconstruction of the magnetic particle imaging system matrix using symmetries and compressed sensing

Citation Link: https://doi.org/10.15480/882.1573
Publikationstyp
Journal Article
Date Issued
2015
Sprache
English
Author(s)
Weber, Alexander  
Knopp, Tobias  
Institut
Biomedizinische Bildgebung E-5  
TORE-DOI
10.15480/882.1573
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/1576
Journal
Advances in mathematical physics  
Volume
2015
Start Page
460496
Citation
Advances in Mathematical Physics, vol. 2015, Article ID 460496
Publisher DOI
10.1155/2015/460496
Publisher
Hindawi Publishing Corporation
Magnetic particle imaging (MPI) is a tomographic imaging technique that allows the determination of the 3D spatial distribution of superparamagnetic iron oxide nanoparticles. Due to the complex dynamic nature of these nanoparticles, a time-consuming calibration measurement has to be performed prior to image reconstruction. During the calibration a small delta sample filled with the particle suspension is measured at all positions in the field of view where the particle distribution will be reconstructed. Recently, it has been shown that the calibration procedure can be significantly shortened by sampling the field of view only at few randomly chosen positions and applying compressed sensing to reconstruct the full MPI system matrix. The purpose of this work is to reduce the number of necessary calibration scans even further. To this end, we take into account symmetries of the MPI system matrix and combine this knowledge with the compressed sensing method. Experiments on 2D MPI data show that the combination of symmetry and compressed sensing allows reducing the number of calibration scans compared to the pure compressed sensing approach by a factor of about three.
Subjects
magnetic particle imaging
DDC Class
620: Ingenieurwissenschaften
Lizenz
https://creativecommons.org/licenses/by/3.0/
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