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

Maass, Marco, Bente, Klaas, Ahlborg, Mandy, Medimagh, Hanne, Phan, Huy, Buzug, Thorsten M., Mertins, Alfred (2016) Optimized Compression of MPI System Matrices Using a Symmetry-Preserving Secondary Orthogonal Transform. International Journal on Magnetic Particle Imaging, 2 (1). pp. 1-5. ISSN 2365-9033. (doi:10.18416/ijmpi.2016.1607002) (KAR id:72683)

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https://doi.org/10.18416/ijmpi.2016.1607002

Abstract

In this paper, we study the compression of the magnetic particle imaging system matrix for imaging setups in which 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 transform and 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.

Item Type: Article
DOI/Identification number: 10.18416/ijmpi.2016.1607002
Divisions: Faculties > Sciences > School of Computing
Depositing User: Huy Phan
Date Deposited: 25 Feb 2019 16:28 UTC
Last Modified: 03 Jun 2019 09:28 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/72683 (The current URI for this page, for reference purposes)
Phan, Huy: https://orcid.org/0000-0003-4096-785X
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