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Symmetries of the 2D magnetic particle imaging system matrix
Publikationstyp
Journal Article
Date Issued
2015-05-21
Sprache
English
Author(s)
Institut
TORE-URI
Journal
Volume
60
Issue
10
Start Page
4033
End Page
4044
Citation
Physics in Medicine and Biology 10 (60): 4033-4044 (2015-05-21)
Publisher DOI
Scopus ID
PubMed ID
25919400
In magnetic particle imaging (MPI), the relation between the particle distribution and the measurement signal can be described by a linear system of equations. For 1D imaging, it can be shown that the system matrix can be expressed as a product of a convolution matrix and a Chebyshev transformation matrix. For multidimensional imaging, the structure of the MPI system matrix is not yet fully explored as the sampling trajectory complicates the physical model. It has been experimentally found that the MPI system matrix rows have symmetries and look similar to the tensor products of Chebyshev polynomials. In this work we will mathematically prove that the 2D MPI system matrix has symmetries that can be used for matrix compression.