Theory and Reconstruction

Magnetic Particle Imaging (MPI) is an emerging tomographic imaging modality that visualizes magnetic tracer material. As seen in established techniques, innovative developments, in terms of the tracer material and the hardware of an actual scanner system, require a sophisticated theoretical background, as well as extensive testing in simulation experiments.

Among other topics, this research includes magnetic field simulations, data acquisition protocols, signal processing algorithms, reconstruction techniques, mathematical models, and quality assessment methods.

Illustrated excerpt from the work in theory and reconstruction at the Institute of Medical Engineering.

Publications

2022[ to top ]
  • Schumacher, J., Ahlborg, M., Aderhold, E., Stagge, P., Buzug, T. M. and Gräser, M.: Comparison of Reconstruction Methods for Measured FFL Data, 2022, DOI: 10.18416/IJMPI.2022.2203061.
2019[ to top ]
  • Ehrhardt, J., Ahlborg, M., Uzunova, H., Buzug, T. M. and Handels, H.: Temporal Polyrigid Registration for Patch-based MPI Reconstruction of Moving Objects, International Journal on Magnetic Particle Imaging, 5(1), 1908001, 2019, DOI: 10.18416/ijmpi.2019.1908001.
2018[ to top ]
  • Erb, W., Weinmann, A., Ahlborg, M., Brandt, C., Bringout, G., Buzug, T. M., Frikel, J., Kaethner, C., Knopp, T., März, T., Möddel, M., Storath, M. and Weber, A.: Mathematical analysis of the 1D model and reconstruction schemes for magnetic particle imaging, Inverse Problems, 34(5), 055012, 2018, DOI: 10.1088/1361-6420/aab8d1.
  • Ehrhardt, J., Ahlborg, M., Uzunova, H., Buzug, T. M. and Handels, H.: Temporal Polyrigid Registration for Patch-based MPI Reconstruction of Moving Objects, 55–56, 2018.
  • Ahlborg, M., Kaethner, C., Szwargulski, P., Knopp, T. and Buzug, T. M.: Abstract: Patches in Magnetic Particle Imaging, 2018.
  • Ahlborg, M., Kaethner, C., Szwargulski, P., Knopp, T. and Buzug, T. M.: Reusing System Matrices of Patches in Magnetic Particle Imaging via Mirroring, 51–52, 2018.
2017[ to top ]
  • von Gladiss, A., Graeser, M., Szwargulski, P., Knopp, T. and Buzug, T. M.: Hybrid System Calibration for Multidimensional Magnetic Particle Imaging, Physics in Medicine and Biology, 62(9), 3392–3406, 2017, DOI: 10.1088/1361-6560/aa5340.
  • von Gladiss, A., Graeser, M. and Buzug, T. M.: Applying Compressed Sensing on Hybrid System Matrices in Magnetic Particle Imaging, 81, 2017.
2016[ to top ]
  • Haensch, A., Kaethner, C., Cordes, A. and Buzug, T. M.: Towards the Characterization of Distortion Artifacts in Elongated Trajectory MPI, 114, 2016.
  • Kaethner, C., Erb, W., Ahlborg, M., Szwargulski, P., Knopp, T. and Buzug, T. M.: Non-Equispaced System Matrix Acquisition for Magnetic Particle Imaging based on Lissajous Node Points, IEEE Transactions on Medical Imaging, PP(99), 1–1, 2016, DOI: 10.1109/TMI.2016.2580458.
  • Maass, M., Bente, K., Ahlborg, M., Medimagh, H., Phan, H., Buzug, T. M. and Mertins, A.: Optimized Compression of MPI System Matrices Using a Symmetry-Preserving Secondary Orthogonal Transform, International Journal on Magnetic Particle Imaging, 2(1), 1607002, 2016, DOI: 10.18416/ijmpi.2016.1607002.
  • Ahlborg, M., Kaethner, C., Knopp, T., Szwargulski, P. and Buzug, T. M.: Using data redundancy gained by patch overlaps to reduce truncation artifacts in magnetic particle imaging, Physics in Medicine and Biology, 61(12), 4583, 2016, DOI: 10.1088/0031-9155/61/12/4583.
  • Knopp, T., Kaethner, C., Ahlborg, M. and Buzug, T. M.: X-Space and Chebyshev Reconstruction in Magnetic Particle Imaging, 75, 2016.
  • Ahlborg, M., Kaethner, C., Knopp, T., Szwargulski, P. and Buzug, T. M.: The Influence of Trajectory and System Matrix Overlap on Image Reconstruction Results in Magnetic Particle Imaging, 175, 2016.
  • Cordes, A., Kaethner, C., Ahlborg, M. and Buzug, T. M.: X-space Deconvolution for Multidimensional Lissajous-based Data- Acquisition Schemes, 74, 2016.
  • Ahlborg, M.: Bildgebungskonzepte für Magnetic Particle Imaging Bildgebungskonzepte und Rekonstruktionsansätze für große Bildgebungsvolumen bei Magnetic Particle Imaging, Infinite Science Publishing, Lübeck, 2016, ISBN: 9783945954157 3945954150.
  • Kaethner, C., Ahlborg, M., Erb, W. and Buzug, T. M.: Lissajous Node Points for a Sytem Matrix based MPI Image Reconstruction Approach, 99, 2016.
  • Medimagh, H. and Buzug, T. M.: Predicting 2D MPI imaging performance using a conventionally acquired or a hybrid 2D system function, 2016.
  • Mrongowius, J., Frikel, J. and Kaethner, C.: Tikhonov regularization scheme for image reconstruction in the presence of model errors, 233–236, 2016.
  • Mrongowius, J., Kaethner, C. and Buzug, T. M.: Studies on the Optimization of Efficient Selection and Focus Field Coil Configurations, 30, 2016.
2015[ to top ]
  • Medimagh, H., Weissert, P., Bringout, G., Bente, K., Weber, M., Gräfe, K., Cordes, A. and Buzug, T.: Artifacts in field free line magnetic particle imaging, 2015, DOI: 10.1109/IWMPI.2015.7107043.
  • Medimagh, H., Weissert, P., Bringout, G., Bente, K., Weber, M., Gräfe, K., Cordes, A. and Buzug, T.: Artifacts in field free line magnetic particle imaging in the presence of inhomogeneous and nonlinear magnetic fields, Current Directions in Biomedical Engineering, 1(1), 245–248, 2015, DOI: 10.1515/cdbme-2015-0061.
  • Kaethner, C., Ahlborg, M., Bringout, G., Weber, M. and Buzug, T.: Axially Elongated Field-Free Point Data Acquisition in Magnetic Particle Imaging, IEEE Transactions on Medical Imaging, 34(2), 381–387, 2015, DOI: 10.1109/TMI.2014.2357077.
  • Medimagh, H., Weissert, P., Bringout, G., Bente, K., Weber, M., Gräfe, K., Cordes, A. and Buzug, T. M.: Artifacts in Field Free Line Magnetic Particle Imaging in the Presence of Inhomogeneous and Nonlinear Magnetic Fields, 2015.
  • Omer, O., Medimagh, H. and Buzug, T.: High resolution magnetic particle imaging with low density trajectory, 2015, DOI: 10.1109/IWMPI.2015.7106995.
  • v. Gladiß, A., Gräfe, K., Ahlborg, M. and Buzug, T.: Undersampling the system matrix of a single sided MPI-scanner, 2015, DOI: 10.1109/IWMPI.2015.7107021.
  • von Gladiß, A., Ahlborg, M., Knopp, T. and Buzug, T.: Compressed Sensing of the System Matrix and Sparse Reconstruction of the Particle Concentration in Magnetic Particle Imaging, IEEE Transactions on Magnetics, 51(2), 6501304, 2015, DOI: 10.1109/TMAG.2014.2326432.
  • Kaethner, C., Ahlborg, M. and Buzug, T.: Focus field based trajectory elongation in MPI, 2015, DOI: 10.1109/IWMPI.2015.7107019.
  • Szwargulski, P., Rahmer, J., Ahlborg, M., Kaethner, C. and Buzug, T. M.: Experimental Evaluation of Different Weighting Schemes in Magnetic Particle Imaging Reconstruction, Current Directions in Biomedical Engineering 2015, 1(1), 206–209, 2015, DOI: 10.1515/CDBME-2015-0052.
2014[ to top ]
  • Wojtczyk, H., Bringout, G., Tenner, W., Graeser, M., Grüttner, M., Sattel, T., Gräfe, K. and Buzug, T.: Toward the Optimization of D-Shaped Coils for the Use in an Open Magnetic Particle Imaging Scanner, IEEE Transactions on Magnetics, 50(7), 5100507, 2014, DOI: 10.1109/TMAG.2014.2303113.
  • Kaethner, C., Knopp, T., Ahlborg, M., Sattel, T. F. and Buzug, T. M.: Efficient Gradient Fields in Magnetic Particle Imaging - From One Dimension to Multiple Dimensions, 72–73, 2014.
  • Omer, O. A., Wojtczyk, H. and Buzug, T. M.: Simultaneous Reconstruction and Resolution Enhancement for Magnetic Particle Imaging, 28–29, 2014.
  • Kleine, M., v. Gladiß, A. and Buzug, T. M.: Iterative Hard Thresholding for the Reconstruction of an Undersampled System Matrix in Magnetic Particle Imaging, 628–632, 2014, DOI: 10.1515/bmt-2014-5008.
  • Omer, O., Wojtczyk, H. and Buzug, T.: Simultaneous Reconstruction and Resolution Enhancement for Magnetic Particle Imaging, IEEE Transactions on Magnetics, 51(2), 6500804, 2014, DOI: 10.1109/TMAG.2014.2330553.
  • Kaethner, C., Ahlborg, M., Knopp, T., Sattel, T. F. and Buzug, T. M.: Efficient gradient field generation providing a multi-dimensional arbitrary shifted field-free point for magnetic particle imaging, Journal of Applied Physics, 115(4), 044910, 2014, DOI: 10.1063/1.4863177.
  • Ahlborg, M., Knopp, T. and Buzug, T. M.: Comparison of X-Space and Chebychev Reconstruction in Magnetic Particle Imaging, 104–105, 2014.
  • Bente, K., Weber, M., Graeser, M., Sattel, T. F., Erbe, M. and Buzug, T. M.: Electronic Field Free Line Rotation and Relaxation Deconvolution in Magnetic Particle Imaging, IEEE Transactions on Medical Imaging, 34(2), 644–651, 2014, DOI: 10.1109/TMI.2014.2364891.
2013[ to top ]
  • Timmermeyer, A., Wojtczyk, H., Tenner, W., Bringout, G., Grüttner, M., Graeser, M., Sattel, T., Halkola, A. and Buzug, T.: Super-resolution approaches for resolution enhancement in magnetic particle imaging, 2013, DOI: 10.1109/IWMPI.2013.6528360.
  • Wojtczyk, H., Bringout, G., Tenner, W., Graeser, M., Grüttner, M., Sattel, T., Gräfe, K., Haegele, J., Duschka, R., Panagiotopoulos, N., Vogt, F., Barkhausen, J. and Buzug, T.: Comparison of Open Scanner Designs for Interventional Magnetic Particle Imaging, 2013, DOI: 10.1515/bmt-2013-4279.
  • Timmermeyer, A., Wojtczyk, H., Tenner, W., Bringout, G., Grüttner, M., Graeser, M., Sattel, T. F., Halkola, A. and Buzug, T. M.: Super-resolution approach in magnetic particle imaging – Evaluation of effectiveness at various noise levels, 2013.
  • Grüttner, M., Sattel, T., Bringout, G., Graeser, M., Tenner, W., Wojtczyk, H. and Buzug, T.: Truncation artifacts in Magnetic Particle Imaging, 2013, DOI: 10.1109/IWMPI.2013.6528335.
  • Grüttner, M., Knopp, T., Franke, J., Heidenreich, M., Rahmer, J., Halkola, A., Kaethner, C., Borgert, J. and Buzug, T.: On the formulation of the image reconstruction problem in magnetic particle imaging, Biomedizinische Technik / Biomedical Engineering, 58(6), 583–591, 2013, DOI: 10.1515/bmt-2012-0063.
  • Wojtczyk, H., Timmermeyer, A., Tenner, W., Sattel, T., Bringout, G., Grüttner, M., Graeser, M. and Buzug, T.: Measure of trajectory quality in Magnetic Particle Imaging, 2013, DOI: 10.1109/IWMPI.2013.6528351.
2012[ to top ]
  • Wojtczyk, H., Haegele, J., Grüttner, M., Tenner, W., Bringout, G., Graeser, M., Vogt, F., Barkhausen, J. and Buzug, T.: Visualization of Instruments in interventional Magnetic Particle Imaging (iMPI): A Simulation Study on SPIO Labelings, 167–172, 2012, DOI: 10.1007/978-3-642-24133-8_27.
  • Grüttner, M., Sattel, T., Graeser, M., Wojtczyk, H., Bringout, G., Tenner, W. and Buzug, T.: Enlarging the Field of View in Magnetic Particle Imaging – A Comparison, 249–253, 2012, DOI: 10.1007/978-3-642-24133-8_40.
  • Griese, F., Grüttner, M. and Buzug, T.: Extended Field of View in Magnetic Particle Imaging, 755, 2012, DOI: 10.1515/bmt-2012-4083.
2011[ to top ]
  • Grüttner, M., Graeser, M., Biederer, S., Sattel, T., Wojtczyk, H., Tenner, W., Knopp, T., Gleich, B., Borgert, J. and Buzug, T.: 1D-image reconstruction for magnetic particle imaging using a hybrid system function, 2545–2548, 2011, DOI: 10.1109/NSSMIC.2011.6152687.