International Journal on Magnetic Particle Imaging IJMPI
Vol. 11 No. 1 Suppl 1 (2025): Int J Mag Part Imag
https://doi.org/10.18416/IJMPI.2025.2503015

Proceedings Articles

Efficient Iterative Reconstruction for an MPI Equilibrium Model with Anisotropy

Main Article Content

Daniel Hernández Durán (Affiliation: 1) Section for Biomedical Imaging, University Medical Center Hamburg-Eppendorf, Hamburg, Germany 2) Institute for Biomedical Imaging, Hamburg University of Technology, Hamburg, Germany), Konrad Scheffler (Affiliation: 1) Section for Biomedical Imaging, University Medical Center Hamburg-Eppendorf, Hamburg, Germany 2) Institute for Biomedical Imaging, Hamburg University of Technology, Hamburg, Germany), Martin Möddel (Affiliation: 1) Section for Biomedical Imaging, University Medical Center Hamburg-Eppendorf, Hamburg, Germany 2) Institute for Biomedical Imaging, Hamburg University of Technology, Hamburg, Germany), Tobias Knopp (Affiliation: 1) Section for Biomedical Imaging, University Medical Center Hamburg-Eppendorf, Hamburg, Germany 2) Institute for Biomedical Imaging, Hamburg University of Technology, Hamburg, Germany 3) Fraunhofer Research Institution for Individualized and Cell-based Medical Engineering IMTE, Lübeck, Germany)

Copyright (c) 2025 Daniel Hernández Durán, Konrad Scheffler, Martin Möddel, Tobias Knopp

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Image reconstruction in Magnetic Particle Imaging (MPI) typically requires a system matrix, obtained through a time-consuming calibration process. To bypass this, various model-based approaches have been explored. Recent work demonstrated successful reconstruction by adapting a Chebyshev approach with Tikhonov-regularized least squares (LS) under an equilibrium model with anisotropy. In this study, we introduce an efficient evaluation of the forward and adjoint operators for the anisotropy model, enabling the use of iterative solvers and alternative regularization methods for image reconstruction.

Article Details

References

[1] M. Maass, T. Kluth, C. Droigk, H. Albers, K. Scheffler, A. Mertins, and T. Knopp, Equilibrium Model with Anisotropy for Model-Based Reconstruction in Magnetic Particle Imaging, IEEE Transactions on Computational Imaging (accepted for publication), 2024.
[2] C. Droigk, M. Maass, M. Eulers, and A. Mertins. Adaption of direct Chebyshev reconstruction to an anisotropic particle model. International Journal on Magnetic Particle Imaging, 9, 2023.
[3] T. R. Lauer. Deconvolution with a spatially-variant PSF. Astronomical Data Analysis II, 4847, 2002.
[4] C. Droigk, M. Maass, and A. Mertins. System matrix compression using Chebyshev polynomials of first and second kind. International Journal on Magnetic Particle Imaging, 8(2), 2022.

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