Symmetries of the 2D magnetic particle imaging system matrix

TY - JOUR

T1 - Symmetries of the 2D magnetic particle imaging system matrix

AU - Weber, A

AU - Knopp, T

PY - 2015/5/21

Y1 - 2015/5/21

N2 - 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.

AB - 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.

KW - Algorithms

KW - Data Compression

KW - Diagnostic Imaging

KW - Magnetite Nanoparticles

KW - Models, Theoretical

U2 - 10.1088/0031-9155/60/10/4033

DO - 10.1088/0031-9155/60/10/4033

M3 - SCORING: Journal article

C2 - 25919400

VL - 60

SP - 4033

EP - 4044

JO - PHYS MED BIOL

JF - PHYS MED BIOL

SN - 0031-9155

IS - 10

ER -