Current Publications

Journal Publications
since 2022

Recent Journal Publications

[191156]
Title: Sparse Kaczmarz for Convergence Speed-up in Multi-Contrast Magnetic Particle Imaging.
Written by: L. Nawwas, M. Möddel, and T. Knopp
in: <em>2024 IEEE International Symposium on Biomedical Imaging (ISBI)</em>. May (2024).
Volume: Number: (1-4),
on pages: 1-4
Chapter:
Editor:
Publisher: IEEE:
Series:
Address:
Edition:
ISBN: 979-8-3503-1333-8
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1109/ISBI56570.2024.10635342
URL:
ARXIVID:
PMID:

[BibTex]

Note: inproceedings, multi-contrast

Abstract: Magnetic Particle Imaging (MPI) is a tracer-based medical imaging modality with great potential due to its high sensitivity, high spatio-temporal resolution, and capability to quantify the tracer distribution. Image reconstruction in MPI is an ill-posed problem, which regularization methods can address. In MPI, Tikhonov regularization is most commonly used and the corresponding optimization problem is usually solved using the Kaczmarz algorithm. Reconstruction using the Kaczmarz method for single-contrast MPI is very efficient as it produces the desired images fast after a small number of iterations. For multi-contrast MPI, however, the regular Kaczmarz algorithm fails to obtain good-quality images without channel leakage when using a small number of iterations. In this work, we propose a sparsity-promoting regularization term and an associated sparse Kaczmarz method in order to speed up convergence, especially in sparse channels. The proposed method reduces the channel leakage and as a result, speeds up convergence.

Conference Abstracts and Proceedings
since 2022

Recent Conference Abstracts and Proceedings

[191156]
Title: Sparse Kaczmarz for Convergence Speed-up in Multi-Contrast Magnetic Particle Imaging.
Written by: L. Nawwas, M. Möddel, and T. Knopp
in: <em>2024 IEEE International Symposium on Biomedical Imaging (ISBI)</em>. May (2024).
Volume: Number: (1-4),
on pages: 1-4
Chapter:
Editor:
Publisher: IEEE:
Series:
Address:
Edition:
ISBN: 979-8-3503-1333-8
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1109/ISBI56570.2024.10635342
URL:
ARXIVID:
PMID:

Note: inproceedings, multi-contrast

Abstract: Magnetic Particle Imaging (MPI) is a tracer-based medical imaging modality with great potential due to its high sensitivity, high spatio-temporal resolution, and capability to quantify the tracer distribution. Image reconstruction in MPI is an ill-posed problem, which regularization methods can address. In MPI, Tikhonov regularization is most commonly used and the corresponding optimization problem is usually solved using the Kaczmarz algorithm. Reconstruction using the Kaczmarz method for single-contrast MPI is very efficient as it produces the desired images fast after a small number of iterations. For multi-contrast MPI, however, the regular Kaczmarz algorithm fails to obtain good-quality images without channel leakage when using a small number of iterations. In this work, we propose a sparsity-promoting regularization term and an associated sparse Kaczmarz method in order to speed up convergence, especially in sparse channels. The proposed method reduces the channel leakage and as a result, speeds up convergence.

Publications

Journal Publications
since 2014

Journal Publications

[191156]
Title: Sparse Kaczmarz for Convergence Speed-up in Multi-Contrast Magnetic Particle Imaging.
Written by: L. Nawwas, M. Möddel, and T. Knopp
in: <em>2024 IEEE International Symposium on Biomedical Imaging (ISBI)</em>. May (2024).
Volume: Number: (1-4),
on pages: 1-4
Chapter:
Editor:
Publisher: IEEE:
Series:
Address:
Edition:
ISBN: 979-8-3503-1333-8
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1109/ISBI56570.2024.10635342
URL:
ARXIVID:
PMID:

[BibTex]

Note: inproceedings, multi-contrast

Abstract: Magnetic Particle Imaging (MPI) is a tracer-based medical imaging modality with great potential due to its high sensitivity, high spatio-temporal resolution, and capability to quantify the tracer distribution. Image reconstruction in MPI is an ill-posed problem, which regularization methods can address. In MPI, Tikhonov regularization is most commonly used and the corresponding optimization problem is usually solved using the Kaczmarz algorithm. Reconstruction using the Kaczmarz method for single-contrast MPI is very efficient as it produces the desired images fast after a small number of iterations. For multi-contrast MPI, however, the regular Kaczmarz algorithm fails to obtain good-quality images without channel leakage when using a small number of iterations. In this work, we propose a sparsity-promoting regularization term and an associated sparse Kaczmarz method in order to speed up convergence, especially in sparse channels. The proposed method reduces the channel leakage and as a result, speeds up convergence.

Conference Abstracts and Proceedings
since 2014

Conference Abstracts and Proceedings

[191156]
Title: Sparse Kaczmarz for Convergence Speed-up in Multi-Contrast Magnetic Particle Imaging.
Written by: L. Nawwas, M. Möddel, and T. Knopp
in: <em>2024 IEEE International Symposium on Biomedical Imaging (ISBI)</em>. May (2024).
Volume: Number: (1-4),
on pages: 1-4
Chapter:
Editor:
Publisher: IEEE:
Series:
Address:
Edition:
ISBN: 979-8-3503-1333-8
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1109/ISBI56570.2024.10635342
URL:
ARXIVID:
PMID:

Note: inproceedings, multi-contrast

Abstract: Magnetic Particle Imaging (MPI) is a tracer-based medical imaging modality with great potential due to its high sensitivity, high spatio-temporal resolution, and capability to quantify the tracer distribution. Image reconstruction in MPI is an ill-posed problem, which regularization methods can address. In MPI, Tikhonov regularization is most commonly used and the corresponding optimization problem is usually solved using the Kaczmarz algorithm. Reconstruction using the Kaczmarz method for single-contrast MPI is very efficient as it produces the desired images fast after a small number of iterations. For multi-contrast MPI, however, the regular Kaczmarz algorithm fails to obtain good-quality images without channel leakage when using a small number of iterations. In this work, we propose a sparsity-promoting regularization term and an associated sparse Kaczmarz method in order to speed up convergence, especially in sparse channels. The proposed method reduces the channel leakage and as a result, speeds up convergence.

Publications Pre-dating the Institute

Publications
2007-2013

Old Publications

[191156]
Title: Sparse Kaczmarz for Convergence Speed-up in Multi-Contrast Magnetic Particle Imaging.
Written by: L. Nawwas, M. Möddel, and T. Knopp
in: <em>2024 IEEE International Symposium on Biomedical Imaging (ISBI)</em>. May (2024).
Volume: Number: (1-4),
on pages: 1-4
Chapter:
Editor:
Publisher: IEEE:
Series:
Address:
Edition:
ISBN: 979-8-3503-1333-8
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1109/ISBI56570.2024.10635342
URL:
ARXIVID:
PMID:

Note: inproceedings, multi-contrast

Abstract: Magnetic Particle Imaging (MPI) is a tracer-based medical imaging modality with great potential due to its high sensitivity, high spatio-temporal resolution, and capability to quantify the tracer distribution. Image reconstruction in MPI is an ill-posed problem, which regularization methods can address. In MPI, Tikhonov regularization is most commonly used and the corresponding optimization problem is usually solved using the Kaczmarz algorithm. Reconstruction using the Kaczmarz method for single-contrast MPI is very efficient as it produces the desired images fast after a small number of iterations. For multi-contrast MPI, however, the regular Kaczmarz algorithm fails to obtain good-quality images without channel leakage when using a small number of iterations. In this work, we propose a sparsity-promoting regularization term and an associated sparse Kaczmarz method in order to speed up convergence, especially in sparse channels. The proposed method reduces the channel leakage and as a result, speeds up convergence.

Open Access Publications

Journal Publications
since 2014

Open Access Publications

[191156]
Title: Sparse Kaczmarz for Convergence Speed-up in Multi-Contrast Magnetic Particle Imaging.
Written by: L. Nawwas, M. Möddel, and T. Knopp
in: <em>2024 IEEE International Symposium on Biomedical Imaging (ISBI)</em>. May (2024).
Volume: Number: (1-4),
on pages: 1-4
Chapter:
Editor:
Publisher: IEEE:
Series:
Address:
Edition:
ISBN: 979-8-3503-1333-8
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1109/ISBI56570.2024.10635342
URL:
ARXIVID:
PMID:

[BibTex]

Note: inproceedings, multi-contrast

Abstract: Magnetic Particle Imaging (MPI) is a tracer-based medical imaging modality with great potential due to its high sensitivity, high spatio-temporal resolution, and capability to quantify the tracer distribution. Image reconstruction in MPI is an ill-posed problem, which regularization methods can address. In MPI, Tikhonov regularization is most commonly used and the corresponding optimization problem is usually solved using the Kaczmarz algorithm. Reconstruction using the Kaczmarz method for single-contrast MPI is very efficient as it produces the desired images fast after a small number of iterations. For multi-contrast MPI, however, the regular Kaczmarz algorithm fails to obtain good-quality images without channel leakage when using a small number of iterations. In this work, we propose a sparsity-promoting regularization term and an associated sparse Kaczmarz method in order to speed up convergence, especially in sparse channels. The proposed method reduces the channel leakage and as a result, speeds up convergence.