Mathematical Signal and Image Processing

News

  • 04/2015 I am an invited speaker at the session '(Co)Sparsity in Tomography and Inverse Problems" organized by Andreas Tillmann at the ISMP.
  • 03/2015 I am an invited speaker at the workshop on 'Sparse Tomographic Reconstruction: Theoretical an Numerical Aspects'. Details here.
  • 02/2015 In summer I will give a lecture on 'Greedy algorithms in approximation theory' (together with F. Bossmann). Details in Stud IP. See also UniVZ.
  • 01/2015 My joint paper 'Computing and Analyzing Recoverable Supports for Sparse Reconstruction' with Dirk Lorenz has been accepted for publication in 'Advances in Computational Mathematics', DOI: 10.1007/s10444-015-9403-6
  • 12/2014 My joint paper 'Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT' with Jakob Jørgensen and Dirk Lorenz is published online (open access)
  • 11/2014 Start as a Postdoc in the workgroup of Prof. Dr. Felix Krahmer

Research Interest

  • Image Processing
  • Regularization Methods
  • Compressed Sensing
  • Probability theory
  • Convex polytopes

Short CV

  • Since 2014 Research Assistant at University Goettingen
  • 2011-2014 Research Assistant at TU Braunschweig
  • 2010/2011 Working Student/Graduand at Siemens Healthcare, Forchheim, Germany
  • 2005-2011 studied Mathematics Bachelor/Master at TU Braunschweig
  • 1984 born in Winsen (Luhe), Germany

Reviews

  • Inverse Problems, Journal of Mathematical Imaging and Vision, SIAM Journal on Imaging Sciences

Completed Projects

Teaching

  • Research seminar: Numerical Analysis (English) (SS 2016)
    Thursday, 12.30 - 14.00, Seminarraum NAM (2 SWS)
  • Research seminar: Numerical Analysis (English) (WS 2015/2016)
    Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  • Research seminar: Numerical Analysis (English) (SS 2015)
    Monday, 12.30 - 14.00, Seminarraum NAM (2 SWS)
  • Lecture: Greedy Algorithms in Approximation Theory (SS 2015)
    Tuesday and Wednesday 12.15 - 13.55, Seminarraum NAM (2+2 SWS)
  • Research seminar: Numerical Analysis (English) (WS 2014/2015)
    Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)

Workshops

Publications

  • Computing and Analyzing Recoverable Supports for Sparse Reconstruction
    Christian Kruschel, D.A. Lorenz
    Advances in Computational Mathematics 41(6), pp. 1119-1144, 2015 (early version: ArXiv)
  • Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT
    J.S. Jørgensen, Christian Kruschel, D.A. Lorenz
    Inverse Problems in Science and Engineering 23(8), 2015 (pp. 1283-1305, open access)
  • Master's thesis: Modeling and Analysis of Calibrating Cone-Beam-CT
    Christian Kruschel
    TU Braunschweig, Institut for Analysis and Algebra, June 2011 (Supervisor: Prof. Dr. Dirk Lorenz, In cooperation with SIEMENS Healthcare, Forchheim)