Symmetries of the 2D magnetic particle imaging system matrix.

Abstract:

: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.

journal_name

Phys Med Biol

authors

Weber A,Knopp T

doi

10.1088/0031-9155/60/10/4033

subject

Has Abstract

pub_date

2015-05-21 00:00:00

pages

4033-44

issue

10

eissn

0031-9155

issn

1361-6560

journal_volume

60

pub_type

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