Singular value analysis for Magnetic Particle Imaging

Tobias Knopp; Sven Biederer; Timo Sattel; Thorsten M. Buzug

doi:10.1109/NSSMIC.2008.4774296

Singular value analysis for Magnetic Particle Imaging

Tobias Knopp, Sven Biederer, Timo Sattel, Thorsten M. Buzug

Institute of Medical Engineering

Abstract

Magnetic Particle Imaging (MPI) is a new imaging modality that allows to detect magnetizable nanoparticles. Recently, resolution and sensitivity of this method was investigated in a simulation study. Since the reconstruction problem in MPI is presumably ill-posed, Tikhonov regularization was applied to achieve optimal imaging quality for a certain set of acquisition parameters. The purpose of this work is to analyze the conditioning of the reconstruction problem in MPI by singular value decomposition. Considering the singular values, the ill-posedness of the reconstmction can be shown. For computing the optimal regularization parameter automatically, an algorithm is applied that exploits the L-curve.

Original language	English
Title of host publication	2008 IEEE Nuclear Science Symposium Conference Record
Number of pages	5
Publisher	IEEE
Publication date	01.12.2008
Pages	4525-4529
Article number	4774296
ISBN (Print)	978-1-4244-2714-7, 978-1-4244-2715-4
DOIs	https://doi.org/10.1109/NSSMIC.2008.4774296
Publication status	Published - 01.12.2008
Event	2008 IEEE Nuclear Science Symposium Conference Record - Dresden, Germany Duration: 19.10.2008 → 25.10.2008 Conference number: 76975

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title = "Singular value analysis for Magnetic Particle Imaging",

abstract = "Magnetic Particle Imaging (MPI) is a new imaging modality that allows to detect magnetizable nanoparticles. Recently, resolution and sensitivity of this method was investigated in a simulation study. Since the reconstruction problem in MPI is presumably ill-posed, Tikhonov regularization was applied to achieve optimal imaging quality for a certain set of acquisition parameters. The purpose of this work is to analyze the conditioning of the reconstruction problem in MPI by singular value decomposition. Considering the singular values, the ill-posedness of the reconstmction can be shown. For computing the optimal regularization parameter automatically, an algorithm is applied that exploits the L-curve.",

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Knopp, T, Biederer, S, Sattel, T & Buzug, TM 2008, Singular value analysis for Magnetic Particle Imaging. in 2008 IEEE Nuclear Science Symposium Conference Record., 4774296, IEEE Nuclear Science Symposium Conference Record, IEEE, pp. 4525-4529, 2008 IEEE Nuclear Science Symposium Conference Record , Dresden, Saxony, Germany, 19.10.08. https://doi.org/10.1109/NSSMIC.2008.4774296

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AU - Knopp, Tobias

AU - Biederer, Sven

AU - Sattel, Timo

AU - Buzug, Thorsten M.

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PY - 2008/12/1

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N2 - Magnetic Particle Imaging (MPI) is a new imaging modality that allows to detect magnetizable nanoparticles. Recently, resolution and sensitivity of this method was investigated in a simulation study. Since the reconstruction problem in MPI is presumably ill-posed, Tikhonov regularization was applied to achieve optimal imaging quality for a certain set of acquisition parameters. The purpose of this work is to analyze the conditioning of the reconstruction problem in MPI by singular value decomposition. Considering the singular values, the ill-posedness of the reconstmction can be shown. For computing the optimal regularization parameter automatically, an algorithm is applied that exploits the L-curve.

AB - Magnetic Particle Imaging (MPI) is a new imaging modality that allows to detect magnetizable nanoparticles. Recently, resolution and sensitivity of this method was investigated in a simulation study. Since the reconstruction problem in MPI is presumably ill-posed, Tikhonov regularization was applied to achieve optimal imaging quality for a certain set of acquisition parameters. The purpose of this work is to analyze the conditioning of the reconstruction problem in MPI by singular value decomposition. Considering the singular values, the ill-posedness of the reconstmction can be shown. For computing the optimal regularization parameter automatically, an algorithm is applied that exploits the L-curve.

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BT - 2008 IEEE Nuclear Science Symposium Conference Record

PB - IEEE

T2 - 2008 IEEE Nuclear Science Symposium Conference Record

Y2 - 19 October 2008 through 25 October 2008

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Singular value analysis for Magnetic Particle Imaging

Abstract

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