Publikationen von Prof. Dr. Kristian Bredies
Monografien (2)
- K. Bredies, D. Lorenz.
Mathematical Image Processing.
Applied and Numerical Harmonic Analysis, Birkhäuser, 2018. - K. Bredies, D. Lorenz.
Mathematische Bildverarbeitung:.
, Vieweg Verlag, 2011.
Buchkapitel (2)
- 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. - 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)
- 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 - 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. - K. Bredies.
A forward-backward splitting algorithm for the minimization of non-smooth convex functionals in Banach space.
Inverse Problems, 25(1), 2009. - 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. - D. Lorenz, K. Bredies.
Regularization with non-convex separable constraints.
Inverse Problems, 25(8), 085011, 2009. - K. Bredies, D. Lorenz.
Iterated hard shrinkage for minimization problems with sparsity constraints.
SIAM Journal on Scientific Computing, 30(2):657-683, 2008. - K. Bredies, D. Lorenz.
Linear Convergence of iterative soft-thresholding.
Journal of Fourier Analysis and Applications, 14(5):813-837, Springer Verlag, 2008. - 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. - 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. - 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. - 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. - K. Bredies, D. Lorenz, P. Maaß.
Mathematical Concepts of Multiscale Smoothing.
Applied and Computational Harmonic Analysis, 19(2):141-161, Elsevier, 2005.
Qualifikationsarbeiten (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)
- 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. - 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. - 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. - 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. - 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)
- 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.