On the Formulation of the Magnetic Particle Imaging System Function in Fourier Space

Marco Maass; Alfred Mertins

On the Formulation of the Magnetic Particle Imaging System Function in Fourier Space

Institute of Signal Processing

Abstract

Several publications on magnetic particle imaging (MPI)are based on the Langevin theory of paramagnetism todescribe the imaging process [1-4]. However, althoughsome reconstruction methods require the Fouriertransform of the Langevin function and its derivative, inpractice, due to the lack of a closed-form expression, theyare approximated either numerically or via the Lorentzianfunction, which works quite well in practice.Nevertheless, we here give a closed-form solutionfor theFourier transform of the Langevin function and derive thetemporal and spatial Fourier transformed versions of thesystem function according to the Langevin model.

Original language	English
Title of host publication	8th International Workschop on Magnetic Particle Imaging (IWMPI 2018)
Number of pages	2
Publisher	Infinite Science Publishing
Publication date	22.03.2018
Pages	39-40
ISBN (Print)	978-3-945954-48-5
Publication status	Published - 22.03.2018
Event	8th International Workshop on Magnetic Particle Imaging, IWMPI 2018 - Hamburg, Germany Duration: 22.03.2018 → 24.03.2018

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title = "On the Formulation of the Magnetic Particle Imaging System Function in Fourier Space",

abstract = "Several publications on magnetic particle imaging (MPI)are based on the Langevin theory of paramagnetism todescribe the imaging process [1-4]. However, althoughsome reconstruction methods require the Fouriertransform of the Langevin function and its derivative, inpractice, due to the lack of a closed-form expression, theyare approximated either numerically or via the Lorentzianfunction, which works quite well in practice.Nevertheless, we here give a closed-form solutionfor theFourier transform of the Langevin function and derive thetemporal and spatial Fourier transformed versions of thesystem function according to the Langevin model.",

author = "Marco Maass and Alfred Mertins",

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Maass, M & Mertins, A 2018, On the Formulation of the Magnetic Particle Imaging System Function in Fourier Space. in 8th International Workschop on Magnetic Particle Imaging (IWMPI 2018) . International Workshop on Magnetic Particle Imaging , Infinite Science Publishing, pp. 39-40, 8th International Workshop on Magnetic Particle Imaging, IWMPI 2018
, Hamburg, Germany, 22.03.18. <https://www.isip.uni-luebeck.de/fileadmin/files/publications/maass2018a.pdf>

On the Formulation of the Magnetic Particle Imaging System Function in Fourier Space. / Maass, Marco; Mertins, Alfred.
8th International Workschop on Magnetic Particle Imaging (IWMPI 2018) . Infinite Science Publishing, 2018. p. 39-40 ( International Workshop on Magnetic Particle Imaging ).

Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

TY - GEN

T1 - On the Formulation of the Magnetic Particle Imaging System Function in Fourier Space

AU - Maass, Marco

AU - Mertins, Alfred

PY - 2018/3/22

Y1 - 2018/3/22

N2 - Several publications on magnetic particle imaging (MPI)are based on the Langevin theory of paramagnetism todescribe the imaging process [1-4]. However, althoughsome reconstruction methods require the Fouriertransform of the Langevin function and its derivative, inpractice, due to the lack of a closed-form expression, theyare approximated either numerically or via the Lorentzianfunction, which works quite well in practice.Nevertheless, we here give a closed-form solutionfor theFourier transform of the Langevin function and derive thetemporal and spatial Fourier transformed versions of thesystem function according to the Langevin model.

AB - Several publications on magnetic particle imaging (MPI)are based on the Langevin theory of paramagnetism todescribe the imaging process [1-4]. However, althoughsome reconstruction methods require the Fouriertransform of the Langevin function and its derivative, inpractice, due to the lack of a closed-form expression, theyare approximated either numerically or via the Lorentzianfunction, which works quite well in practice.Nevertheless, we here give a closed-form solutionfor theFourier transform of the Langevin function and derive thetemporal and spatial Fourier transformed versions of thesystem function according to the Langevin model.

UR - https://books.infinite-science.de/en/all-publications/287/8th-international-workschop-on-magnetic-particle-imaging-iwmpi-2018

M3 - Conference contribution

SN - 978-3-945954-48-5

T3 - International Workshop on Magnetic Particle Imaging

SP - 39

EP - 40

BT - 8th International Workschop on Magnetic Particle Imaging (IWMPI 2018)

PB - Infinite Science Publishing

T2 - 8th International Workshop on Magnetic Particle Imaging, IWMPI 2018<br/>

Y2 - 22 March 2018 through 24 March 2018

ER -

On the Formulation of the Magnetic Particle Imaging System Function in Fourier Space

Abstract

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