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Department of Mathematics

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  4. Dr. Lea Föcke

Dr. Lea Föcke

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Dr. Lea Föcke

Lea Föcke

Lea Föcke

Research Interest

Zu meinen Hauptinteressen gehören Inverse Probleme in medizinischen Anwendungsbereichen (Magnetorelaxomentry Imaging, CT, MRT), Signal- und Bildverarbeitung (Single Detector Camera/THz Camera, Bild-Entrauschen, Bild-Upscaling), sowie die dazugehörige Variationsmodelle.

Ich beschäftige zudem mit der Simulation, Implementierung und Optimierung von numerischen Bildgebungsverfahren (insb. MRXI und SDC).

Projects

  • Magnetorelaxometry Imaging
    ⇒CoS-MRXI – DFG, CoSIP (BA 4858/2-1, BU 2327/4-1)
  • THz Single-pixel Imaging

Résumé

  • Abitur, Annette-von-Droste-Hülshoff Gymnasium, Münster, 2009
  • Bachelor of Science in Mathematics with minor Computer Science, WWU Münster, 2013.
  • Master of Science in Mathematics with minor Computer Science, WWU Münster, 2015.
  • Research Assistant and PhD Student at Institute for Applied Mathematics, WWU Münster, 11/2015 – 12/2018.
  • Research Assistant and PhD Student at Chair for Applied Mathematics, FAU Erlangen, from 01/2019.

Publications

  • Föcke L.:
    Inverse Problems for Random Measurements (Dissertation, 2022)
    URL: https://opus4.kobv.de/opus4-fau/files/18550/DissertationFoecke.pdf
    BibTeX: Download

  • Burger M., Föcke L., Nickel L., Jung P., Augustin S.:
    Reconstruction Methods in THz Single-Pixel Imaging
    In: Holger Boche, Giuseppe Caire, Robert Calderbank, Gitta Kutyniok, Rudolf Mathar, Philipp Petersen (ed.): Compressed Sensing and Its Applications, Springer International Publishing, 2019, p. 263-290 (Applied and Numerical Harmonic Analysis)
    DOI: 10.1007/978-3-319-73074-5_9
    BibTeX: Download

  • Föcke L.:
    SiMRX - A Simulation toolbox for MRX
    (2018)
    URL: https://arxiv.org/abs/1810.02286
    BibTeX: Download
    (Techreport)
  • Föcke L., Baumgarten D., Burger M.:
    The inverse problem of magnetorelaxometry imaging
    In: Inverse Problems 34 (2018), Article No.: ARTN 115008
    ISSN: 0266-5611
    DOI: 10.1088/1361-6420/aadbbf
    BibTeX: Download

  • Föcke L.:
    Modeling and Solution of the Inverse Problem of Nanoparticle Magnetorelaxometry (Master thesis, 2015)
    BibTeX: Download
Friedrich-Alexander-Universität
Department of Mathematics

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91058 Erlangen
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