International Journal on Magnetic Particle Imaging
Vol 2 No 1 (2016): Int J Mag Part Imag

Research Articles

Optimized Compression of MPI System Matrices Using a Symmetry-Preserving Secondary Orthogonal Transform

Main Article Content

Marco Maass (Institute for Signal Processing, University of Lübeck), Klaas Bente (Institute of Medical Engineering, Universtity of Lübeck), Mandy Ahlborg (Institute of Medical Engineering, Universtity of Lübeck), Hanne Medimagh (Institute of Medical Engineering, Universtity of Lübeck), Huy Phan (Institute for Signal Processing, University of Lübeck), Thorsten M. Buzug (Institute of Medical Engineering, Universtity of Lübeck), Alfred Mertins (Institute for Signal Processing, University of Lübeck)

Abstract

In this paper, we study the compression of the magnetic particle imaging system matrix for imaging setups in which a field free point is moved along a Lissajous trajectory. We show that a large number of zeros in the simulated transformed system matrix is obtained when orthogonal transforms applied to the spatial domain have only symmetric and antisymmetric basis functions. For measured system matrices, this property only holds approximately, because of noise induced by the scanner hardware. The required symmetry properties are naturally fulfilled by some standard orthogonal transforms such as the type-two discrete cosine transformand the discrete Chebychev transform. However, these transforms are not yet optimal for compressing system matrices, and we propose a new method to obtain better transforms that retain the required symmetry properties.

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