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Prof. Dr. Kristian Bredies

Ehemaliger Mitarbeiter der WG Industrial Mathematics


Projects

  1. BMBF-INVERS: Dekonvolution vs. Shrinkage: Mathematische Methoden für eine verbesserte Peakdetektion (01.10.2007 - 30.06.2010)
  2. DFG-SPP 1114: Optimal Control of Degenerate Parabolic Partial Differential Equations in Medical Image Processing (01.01.2005 - 30.09.2007)
  3. Wavelet-Cluster-Verfahren für die Analyse von Proteinspektren (since 01.05.2003)

Publications (Selection)complete list

  1. K. Bredies, E. Chenchene, D. Lorenz, E. Naldi.
    Degenerate preconditioned proximal point algorithms.
    SIAM Journal on Optimization, 32(3), 2022.

    DOI: 10.1137/21M1448112
    online at: https://arxiv.org/abs/2109.11481

  2. K. Bredies, D. Lorenz.
    Mathematical Image Processing.
    Applied and Numerical Harmonic Analysis, Birkhäuser, 2018.

    DOI: 10.1007/978-3-030-01458-2

  3. D. Lorenz, K. Bredies, S. Reiterer.
    Minimization of non-smooth, non- convex functionals by iterative thresholding.
    Journal of Optimization Theory and Applications, 165(1):78-112, 2015.

    DOI: 10.1007/s10957-014-0614-7

  4. K. Bredies, D. Lorenz.
    Mathematische Bildverarbeitung:.
    , Vieweg Verlag, 2011.
  5. K. Bredies, D. Lorenz, P. Maaß.
    A generalized conditional gradient method and its connection to an iterative shrinkage method.
    Computational Optimization and Applications, 42(2):173-193, Springer Verlag, 2009.

    DOI: 10.1007/s10589-007-9083-3