% This file was created by ZeTeM Website
 
% Kristian Bredies

@BOOK{Bredies2018_51399,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {Mathematical Image Processing},
  series = {Applied and Numerical Harmonic Analysis},
  publisher = {Birkhäuser},
  year = {2018},
  doi = {10.1007/978-3-030-01458-2}
}


@BOOK{Bredies2011_82948,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {Mathematische Bildverarbeitung:},
  publisher = {Vieweg Verlag},
  year = {2011}
}


@INBOOK{Kulesh2007_6774a,
  author = {Michail Kulesh and Benjamin Berkels and Kristian Bredies and Christoph S. Garbe and Jens F. Acker and Mamadou S. Diallo and Marc Droske and Matthias Holschneider and Jaroslav Hron and Claudia Kondermann and Peter Maaß and Nadine Olischläger and Heinz-Otto Peitgen and Tobias Preusser and Martin Rumpf and Frank Scherbaum and Stefan Turek},
  chapter = {Inverse Problems  and Parameter Identification in Image Processing},
  title = {Mathematical Methods in Signal Processing and Digital Image Analysis},
  editor = {R. Dahlhaus and J. Kurths and Peter Maaß and J. Timmer},
  pages = {111-151},
  publisher = {Springer Verlag},
  year = {2007},
  doi = {10.1007/978-3-540-75632-3}
}


@INBOOK{Bredies2004_857fa,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß and Gerd Teschke},
  chapter = {A partial differential equation for continuous non-linear shrinkage filtering and its application for analyzing MMG data.},
  title = {Wavelet Applications in Industrial Processing},
  editor = {Frederic Truchetet},
  series = {5266},
  pages = {84-93},
  publisher = {SPIE},
  year = {2004},
  doi = {10.1117/12.515945}
}


@ARTICLE{Bredies2022_5d6b7,
  author = {Kristian Bredies and Enis Chenchene and Dirk Lorenz and Emanuele Naldi},
  title = {Degenerate preconditioned proximal point algorithms},
  journal = {SIAM Journal on Optimization},
  volume = {32},
  number = {3},
  year = {2022},
  doi = {10.1137/21M1448112}
}


@ARTICLE{Lorenz2015_d1a45,
  author = {Dirk Lorenz and Kristian Bredies and Stefan Reiterer},
  title = {Minimization of non-smooth, non- convex functionals by iterative thresholding},
  journal = {Journal of Optimization Theory and Applications},
  volume = {165},
  number = {1},
  pages = {78-112},
  year = {2015},
  doi = {10.1007/s10957-014-0614-7}
}


@ARTICLE{Bredies2009_58d0f,
  author = {Kristian Bredies},
  title = {A forward-backward splitting algorithm for the minimization of non-smooth convex functionals in Banach space},
  journal = {Inverse Problems},
  volume = {25},
  number = {1},
  year = {2009},
  doi = {10.1088/0266-5611/25/1/015005}
}


@ARTICLE{Bredies2009_95243,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {A generalized conditional gradient method and its connection to an iterative shrinkage method},
  journal = {Computational Optimization and Applications},
  volume = {42},
  number = {2},
  pages = {173-193},
  publisher = {Springer Verlag},
  year = {2009},
  doi = {10.1007/s10589-007-9083-3}
}


@ARTICLE{Lorenz2009_e9e61,
  author = {Dirk Lorenz and Kristian Bredies},
  title = {Regularization with non-convex separable constraints},
  journal = {Inverse Problems},
  volume = {25},
  number = {8},
  pages = {085011},
  year = {2009},
  doi = {10.1088/0266-5611/25/8/085011}
}


@ARTICLE{Bredies2008_c8b84,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {Iterated hard shrinkage for minimization problems with sparsity constraints},
  journal = {SIAM Journal on Scientific Computing},
  volume = {30},
  number = {2},
  pages = {657-683},
  year = {2008}
}


@ARTICLE{Bredies2008_d2032,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {Linear Convergence of iterative soft-thresholding},
  journal = {Journal of Fourier Analysis and Applications},
  volume = {14},
  number = {5},
  pages = {813-837},
  publisher = {Springer Verlag},
  year = {2008},
  doi = {10.1007/s00041-008-9041-1}
}


@ARTICLE{Bredies2008_0ebc4,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {On the convergence speed of iterative methods for linear inverse problems with sparsity constraints},
  journal = {Journal of Physics, Conference Series},
  volume = {124},
  number = {1},
  pages = {2031-2043},
  year = {2008}
}


@ARTICLE{Bredies2007_656ad,
  author = {Kristian Bredies and Thomas Bonesky and Dirk Lorenz and Peter Maaß},
  title = {A Generalized Conditional Gradient Method for Non-Linear Operator Equations with Sparsity Constraints},
  journal = {Inverse Problems},
  volume = {23},
  pages = {2041-2058},
  year = {2007}
}


@ARTICLE{Bonesky2007_b45dc,
  author = {Thomas Bonesky and Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {A generalized conditional gradient method for nonlinear operator equations with sparsity constraints},
  journal = {Inverse Problems},
  volume = {23},
  number = {5},
  year = {2007},
  doi = {10.1088/0266-5611/23/5/014}
}


@ARTICLE{Bredies2006_b8a84,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {An optimal control problem in medical image processing},
  journal = {Systems, Control, Modeling and Optimization},
  volume = {202},
  pages = {249-259},
  publisher = {Springer Verlag},
  year = {2006},
  doi = {10.1007/0-387-33882-9_23}
}


@ARTICLE{Bredies2005_ee8a9,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {Mathematical Concepts of Multiscale Smoothing},
  journal = {Applied and Computational Harmonic Analysis},
  volume = {19},
  number = {2},
  pages = {141-161},
  publisher = {Elsevier},
  year = {2005},
  doi = {10.1016/j.acha.2005.02.007}
}


@PHDTHESIS{Bredies2007_46225,
  author = {Kristian Bredies},
  title = {Optimal control of degenerate parabolic equations in image processing},
  school = {Universität Bremen},
  year = {2007}
}


@CONFERENCE{Bredies2008_a9a93,
  author = {Kristian Bredies},
  title = {An iterative thresholding-like algorithm for inverse problems with sparsity constraints in Banach space},
  booktitle = {4th International Conference on Inverse Problems: Modeling and Simulation, 26.05.-30.05.2008, Fethiye, Türkei},
  year = {2008}
}


@CONFERENCE{Lorenz2008_cc6ce,
  author = {Dirk Lorenz and Kristian Bredies},
  title = {Iterated hard-thresholding for linear inverse prob- lems with sparsity constraints},
  booktitle = {PAMM},
  pages = {2060061-2060062},
  year = {2008}
}


@CONFERENCE{Bredies2008_6f4aa,
  author = {Kristian Bredies and Fedor Alexandrov and J. Decker and Dirk Lorenz and Herbert Thiele},
  title = {Sparse deconvolution for peak picking and ion charge estimation in mass spectrometry},
  booktitle = {15th European Conference on Mathematics in Industry'08, 30.06.-04.07.2008, London, Großbritannien},
  year = {2008}
}


@CONFERENCE{Bredies2006_b3b9a,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {An optimal control problem in image processing},
  booktitle = {PAMM},
  volume = {6},
  number = {1},
  pages = {859-860},
  year = {2006},
  doi = {10.1002/pamm200610409}
}


@CONFERENCE{Bonesky2006_d6ec5,
  author = {Thomas Bonesky and Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {On the minimization of non-convex, non-differentiable functionals with an application to SPECT},
  booktitle = {Oberwolfach Report: Mathematical Methods in Tomography},
  volume = {34},
  pages = {18-22},
  year = {2006}
}


@MISC{Evers2008_88699,
  author = {C. Evers and Kilian Hachmann and M. Linden and Andreas Luttmann and Kristian Bredies and Peter Maaß and Fedor Alexandrov},
  title = {The Technomatika toolbox: LCMS peakpicking and alignment},
  howpublished = {Projektbericht},
  school = {Universität Bremen},
  year = {2008}
}