Current Publications

Journal Publications
since 2022

Recent Journal Publications

[145075]
Title: Determination of 3D system matrices using a mirroring approach based on mixing theory.
Written by: P. Szwargulski, T. Knopp
in: <em>International Journal on Magnetic Particle Imaging</em>. (2020).
Volume: <strong>6</strong>. Number: (2),
on pages: 1-3
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.18416/IJMPI.2020.2009051
URL: https://journal.iwmpi.org/index.php/iwmpi/article/view/271
ARXIVID:
PMID:

[www] [BibTex]

Note: inproceedings

Abstract: One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.

Conference Abstracts and Proceedings
since 2022

Recent Conference Abstracts and Proceedings

[145075]
Title: Determination of 3D system matrices using a mirroring approach based on mixing theory.
Written by: P. Szwargulski, T. Knopp
in: <em>International Journal on Magnetic Particle Imaging</em>. (2020).
Volume: <strong>6</strong>. Number: (2),
on pages: 1-3
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.18416/IJMPI.2020.2009051
URL: https://journal.iwmpi.org/index.php/iwmpi/article/view/271
ARXIVID:
PMID:

[www]

Note: inproceedings

Abstract: One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.

Publications

Journal Publications
since 2014

Journal Publications

[145075]
Title: Determination of 3D system matrices using a mirroring approach based on mixing theory.
Written by: P. Szwargulski, T. Knopp
in: <em>International Journal on Magnetic Particle Imaging</em>. (2020).
Volume: <strong>6</strong>. Number: (2),
on pages: 1-3
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.18416/IJMPI.2020.2009051
URL: https://journal.iwmpi.org/index.php/iwmpi/article/view/271
ARXIVID:
PMID:

[www] [BibTex]

Note: inproceedings

Abstract: One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.

Conference Abstracts and Proceedings
since 2014

Conference Abstracts and Proceedings

[145075]
Title: Determination of 3D system matrices using a mirroring approach based on mixing theory.
Written by: P. Szwargulski, T. Knopp
in: <em>International Journal on Magnetic Particle Imaging</em>. (2020).
Volume: <strong>6</strong>. Number: (2),
on pages: 1-3
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.18416/IJMPI.2020.2009051
URL: https://journal.iwmpi.org/index.php/iwmpi/article/view/271
ARXIVID:
PMID:

[www]

Note: inproceedings

Abstract: One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.

Publications Pre-dating the Institute

Publications
2007-2013

Old Publications

[145075]
Title: Determination of 3D system matrices using a mirroring approach based on mixing theory.
Written by: P. Szwargulski, T. Knopp
in: <em>International Journal on Magnetic Particle Imaging</em>. (2020).
Volume: <strong>6</strong>. Number: (2),
on pages: 1-3
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.18416/IJMPI.2020.2009051
URL: https://journal.iwmpi.org/index.php/iwmpi/article/view/271
ARXIVID:
PMID:

[www]

Note: inproceedings

Abstract: One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.

Open Access Publications

Journal Publications
since 2014

Open Access Publications

[145075]
Title: Determination of 3D system matrices using a mirroring approach based on mixing theory.
Written by: P. Szwargulski, T. Knopp
in: <em>International Journal on Magnetic Particle Imaging</em>. (2020).
Volume: <strong>6</strong>. Number: (2),
on pages: 1-3
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.18416/IJMPI.2020.2009051
URL: https://journal.iwmpi.org/index.php/iwmpi/article/view/271
ARXIVID:
PMID:

[www] [BibTex]

Note: inproceedings

Abstract: One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.