Institute for Numerical and Applied Mathematics - Research Group Inverse Problems



Short Introduction



Research Interests ´


  • Phase contrast imaging with x-rays
  • Uniqueness and stability of phase reconstructions
  • Tomographic imaging and alignment
  • Numerical reconstruction techniques (iteratively regularized Gauss-Newton methods)



Publications


    • van Leeuwen, Tristan, Maretzke, Simon, Batenburg, K. Joost. 2017. Automatic alignment for three-dimensional tomographic reconstruction. arXiv preprint. arXiv:1705.08678. http://arxiv.org/abs/1705.08678 (Submitted to Inverse Problems).
    • Maretzke, Simon, Hohage, Thorsten. 2017. Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging. SIAM Journal on Applied Mathematics 77: 384–-408. http://epubs.siam.org/doi/abs/10.1137/16M1086170 (also available on arXiv).
    • Maretzke, Simon, Bartels, Matthias, Krenkel, Martin, Salditt, Tim, Hohage, Thorsten. 2016. Regularized Newton methods for X-ray phase contrast and general imaging problems. Optics Express 24: 6490-6506. https://www.osapublishing.org/oe/abstract.cfm?uri=oe-24-6-6490
    • Maretzke, Simon. 2015. Regularized Newton methods for simultaneous Radon inversion and phase retrieval in phase contrast tomography. arXiv preprint. arXiv:1502.05073. http://arxiv.org/abs/1502.05073
    • Maretzke, Simon. 2015. A uniqueness result for propagation-based phase contrast imaging from a single measurement. Inverse Problems 31: IOP Publishing. 065003. http://dx.doi.org/10.1088/0266-5611/31/6/065003 (featured in Insights, also available on arXiv).
    • Maretzke, Simon, Hof, Björn, Avila, Marc. 2014. Transient growth in linearly stable Taylor-Couette flows. Journal of Fluid Mechanics 742: Cambridge Univ Press. 254-290. http://dx.doi.org/10.1017/jfm.2014.12 (featured in Focus on Fluids, also available on arXiv).



    All publications as BibTeX-file: bibtex



Conferences and Workshops



Teaching


  • Summer term 2017: Functional Analysis, tutor

  • Summer term 2016: Numerical Mathematics II, tutor

  • Summer term 2015: Functional Analysis, tutor

  • Summer term 2013: Scientific Computing II, tutor

  • Winter term 2012/2013: Analytical Mechanics, tutor

  • Winter term 2011/2012: Mathematical Methods of Physics II, tutor

  • Summer term 2011: Scientific Computing II, tutor