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Publikationen von Prof. Dr. Kristian Bredies

Monografien (2)

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

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

  2. K. Bredies, D. Lorenz.
    Mathematische Bildverarbeitung:.
    , Vieweg Verlag, 2011.

Buchkapitel (2)

  1. M. Kulesh, B. Berkels, K. Bredies, C. S. Garbe, J. F. Acker, M. S. Diallo, M. Droske, M. Holschneider, J. Hron, C. Kondermann, P. Maaß, N. Olischläger, H. Peitgen, T. Preusser, M. Rumpf, F. Scherbaum, S. Turek.
    Inverse Problems and Parameter Identification in Image Processing.
    Mathematical Methods in Signal Processing and Digital Image Analysis, R. Dahlhaus, J. Kurths, P. Maaß, J. Timmer (Hrsg.), S. 111-151, Springer Verlag, 2007.

    DOI: 10.1007/978-3-540-75632-3

  2. K. Bredies, D. Lorenz, P. Maaß, G. Teschke.
    A partial differential equation for continuous non-linear shrinkage filtering and its application for analyzing MMG data.
    Wavelet Applications in Industrial Processing, F. Truchetet (Hrsg.), 5266, S. 84-93, SPIE, 2004.

    DOI: 10.1117/12.515945

Zeitschriftenartikel (12)

  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 unter: https://arxiv.org/abs/2109.11481

  2. 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

  3. K. Bredies.
    A forward-backward splitting algorithm for the minimization of non-smooth convex functionals in Banach space.
    Inverse Problems, 25(1), 2009.

    DOI: 10.1088/0266-5611/25/1/015005

  4. 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

  5. D. Lorenz, K. Bredies.
    Regularization with non-convex separable constraints.
    Inverse Problems, 25(8), 085011, 2009.

    DOI: 10.1088/0266-5611/25/8/085011

  6. K. Bredies, D. Lorenz.
    Iterated hard shrinkage for minimization problems with sparsity constraints.
    SIAM Journal on Scientific Computing, 30(2):657-683, 2008.
  7. K. Bredies, D. Lorenz.
    Linear Convergence of iterative soft-thresholding.
    Journal of Fourier Analysis and Applications, 14(5):813-837, Springer Verlag, 2008.

    DOI: 10.1007/s00041-008-9041-1

  8. K. Bredies, D. Lorenz.
    On the convergence speed of iterative methods for linear inverse problems with sparsity constraints.
    Journal of Physics, Conference Series, 124(1):2031-2043, 2008.
  9. K. Bredies, T. Bonesky, D. Lorenz, P. Maaß.
    A Generalized Conditional Gradient Method for Non-Linear Operator Equations with Sparsity Constraints.
    Inverse Problems, 23:2041-2058, 2007.
  10. T. Bonesky, K. Bredies, D. Lorenz, P. Maaß.
    A generalized conditional gradient method for nonlinear operator equations with sparsity constraints.
    Inverse Problems, 23(5), 2007.

    DOI: 10.1088/0266-5611/23/5/014

  11. K. Bredies, D. Lorenz, P. Maaß.
    An optimal control problem in medical image processing.
    Systems, Control, Modeling and Optimization, 202:249-259, Springer Verlag, 2006.

    DOI: 10.1007/0-387-33882-9_23

  12. K. Bredies, D. Lorenz, P. Maaß.
    Mathematical Concepts of Multiscale Smoothing.
    Applied and Computational Harmonic Analysis, 19(2):141-161, Elsevier, 2005.

    DOI: 10.1016/j.acha.2005.02.007

Qualifikationsarbeiten (1)

  1. K. Bredies.
    Optimal control of degenerate parabolic equations in image processing.
    Dissertationsschrift, Universität Bremen, 2007.

    Ausgezeichnet mit dem Studienpreis der unifreunde Bremen

Tagungsbeiträge (5)

  1. K. Bredies.
    An iterative thresholding-like algorithm for inverse problems with sparsity constraints in Banach space.
    4th International Conference on Inverse Problems: Modeling and Simulation, 26.05.-30.05.2008, Fethiye, Türkei.
    Erscheint in Journal of Inverse and Ill-Posed Problems.
  2. D. Lorenz, K. Bredies.
    Iterated hard-thresholding for linear inverse prob- lems with sparsity constraints.
    PAMM.
    Proceedings in Applied Mathematics and Mechanics, S. 2060061-2060062, 2008.
  3. K. Bredies, F. Alexandrov, J. Decker, D. Lorenz, H. Thiele.
    Sparse deconvolution for peak picking and ion charge estimation in mass spectrometry.
    15th European Conference on Mathematics in Industry'08, 30.06.-04.07.2008, London, Großbritannien.
    Erscheint in Proceedings of 15th European Conference on Mathematics in Industry'08.
  4. K. Bredies, D. Lorenz, P. Maaß.
    An optimal control problem in image processing.
    PAMM.
    Proceedings in Applied Mathematics and Mechanics, 6(1):859-860, 2006.

    DOI: 10.1002/pamm200610409

  5. T. Bonesky, K. Bredies, D. Lorenz, P. Maaß.
    On the minimization of non-convex, non-differentiable functionals with an application to SPECT.
    Oberwolfach Report: Mathematical Methods in Tomography.

Sonstiges (1)

  1. C. Evers, K. Hachmann, M. Linden, A. Luttmann, K. Bredies, P. Maaß, F. Alexandrov.
    The Technomatika toolbox: LCMS peakpicking and alignment.
    Projektbericht, Universität Bremen, 2008.