Florian Lieb

63853 Mömlingen, lieb.florian@gmail.com

Welcome to my professional homepage.
I am a Postdoc at the Hochschule Aschaffenburg currently working on Magnetic Particle Imaging.


Research

Magnetic Particle Imaging

Magnetic Particle Imaging (MPI) is a new tomographic imaging technique to visualize the spatial concentration of iron oxide nanoparticles. In contrast to MRI where magnetic fields are used to measure the response of a body's hydrogen atoms, MPI is a tracer based method. Hence, morphological features can not be displayed. With a spatial resolution in the sub-millimeter range as well as an acquisition time in the range of milliseconds, however, it is better suited for imaging fast dynamic processes. These processes may include blood flow visualization for coronary artery diseases or cancer detection in targeted moceluar imaging.

The spatial distribution of the magnetic tracer material can be determined by applying external magnetic fields (a drive and a selection field) and measuring magnetization changes of the tracer. The relation between the actual particle concentration $c$ and the voltage $u_p$ induced in the receive coil is linear [1]: $$u_p(t) = \int_\Omega S(r,t)c(r)d^3r.$$ Usually, the spatial positions $r$ are discretized into $N$ sampling points and with $S$ denoting the MPI system matrix the following linear system of equations can be obtained: $$u=Sc.$$ The relation between particle position and corresponding signal response is currently acquired by explicit measurements. This implies that a delta sample of tracer materical is moved to all spatial positions ($r$) and the induced voltage is captured and stored in $S$. For the practical purpose of spectral filtering, the system matrix is commonly represented in the Fourier domain.

A major disadvantage, apart from the time consuming acquisition, is the superposition of the measured signal and the background noise of the scanner. In current applications this background is simply subtracted from the system matrix, implying that empty scanner measurements have to be taken during system matrix acquisition, as well as from the actual particle signal. In the BMBF project "(MPI)² - Modellbasierte Parameteridentifikation in Magnetic Particle Imaging: Nichtlineare Rekonstruktionsverfahren für Innovationen in medizinischen Anwendungen" more sophisticated approaches for the separation of excitation and particle signal are currently derived and evaluated.

Publications

Articles in Journals

  • F. Lieb, T. Boskamp and H.-G. Stark (2019). "Peak detection in MALDI mass spectrometry using sparse frame multipliers". Submitted to Bioinformatics.
  • F. Lieb and H.-G. Stark (2018). "Audio Inpainting: Evaluation of time-frequency representations and structured sparsity approaches". In Signal Processing, vol. 153. doi.
  • M. Mayer, O. Arrizabalaga, F. Lieb, M. Ciba, S. Ritter and C. Thielemann (2018). "Electrophysiological investigation of human embryonic stem cell derived neurospheres using a novel spike detection algorithm". In Biosensors and Bioelectronics, vol. 100. doi.
  • F. Lieb, H.-G. Stark and C. Thielemann (2017). "A stationary wavelet transform and a time-frequency based spike detection algorithm for extracellular recorded data". In Journal of Neural Engineering, vol. 14(3). doi.
  • R. Levie, H.-G. Stark, F. Lieb and N. Sochen (2014). "Adjoint translation, adjoint observable and uncertainty principles". In Advances in Computational Mathematics, vol. 40(3). doi.
  • H.-G. Stark, F. Lieb and D. Lantzberg (2013). "Variance based uncertainty principles and minimum uncertainty samplings". In Applied Mathematics Letters, vol. 26(2). doi.

Patents

  • F. Lieb (2016). "Method for analysing a data set of a time-of-flight mass spectrometry measurement, and a device". EP Application Number: EP3338297A1.

Technical Reports

  • M. Mayer, O. Arrizabalaga, F. Lieb, M. Ciba, S. Ritter and C. Thielemann (2018). "A new approach for spike detection in a low signal-to-noise environment". In GSI-FAIR Scientific Report 2017, p. 271. doi.

Talks

Recent Talks

  • "Background Removal by Mixing Factor based Filtering of the System Matrix", 9th International Workshop on Magnetic Particle Imaging, New York University, Langone Health, March 2019.
  • "Audio Inpainting: Evaluation of time-frequency representations and structured sparsity approaches", MERLIN Seminar, Brno University of Technology, October 2018.
  • "Time-Frequency-Preprocessing of MPI raw signals", SIAM Conference on Imaging Science, University of Bologna, June 2018.
  • "Peak detection for MALDI imaging using frame multipliers", PhD Seminar, University of Bremen, August 2017.

Articles in Conference Proceedings

  • F. Lieb and H.-G. Stark (2019). "Background Removal by Mixing Factor based Filtering of the System Matrix". In 9th International Workshop on Magnetic Paticle Imaging. ISBN 978-3-945954-56-0.
  • F. Lieb (2015). "Audio inpainting using m-frames". In Current Trends in Analysis and its Applications: Proceedings of the 9th ISAAC Congress, Kraków. doi.
  • D. Lantzberg, F. Lieb, H.-G. Stark, R. Levie and N. Sochen (2012). "Uncertainty principles, minimum uncertainty samplings and translations". In Proceedings of the 20th European Signal Processing Conference (EUSIPCO).

Education

University of Bremen

Dr.-Ing.
"The affine uncertainty principle, associated frames and applications in signal processing" doi.
October 2012 - September 2018

Hochschule Aschaffenburg

M. Eng.
"Uncertainty principles and construction of minimizers in signal processing".
March 2011 - September 2012

Hochschule Aschaffenburg

B. Eng.
"Analysis of local uncertainty minima for relevant transform groups".
September 2007 - March 2011

Awards

  • Kulturpreis Bayern by the Bavarian State Ministry of Science and the Art and Bayernwerk AG for outstanding achievements of young graduates, 2011