Determination of 3D system matrices using a mirroring approach based on mixing theory
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Determination of 3D system matrices using a mirroring approach based on mixing theory. / Szwargulski, P.; Knopp, T.
in: Int J Magn Part Imag, Jahrgang 6, Nr. 2, 2009051, 2020.Publikationen: SCORING: Beitrag in Fachzeitschrift/Zeitung › Andere (Vorworte u.ä.) › Forschung
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TY - JOUR
T1 - Determination of 3D system matrices using a mirroring approach based on mixing theory
AU - Szwargulski, P.
AU - Knopp, T.
N1 - Publisher Copyright: © 2020 Szwargulski et al.; licensee Infinite Science Publishing GmbH.
PY - 2020
Y1 - 2020
N2 - One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.
AB - One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.
U2 - 10.18416/IJMPI.2020.2009051
DO - 10.18416/IJMPI.2020.2009051
M3 - Other (editorial matter etc.)
AN - SCOPUS:85090247764
VL - 6
JO - Int J Magn Part Imag
JF - Int J Magn Part Imag
SN - 2365-9033
IS - 2
M1 - 2009051
ER -
