### DFG-Project

ER 777/1-1

## Publications of the network in the years 2014-2016

#### Publications in Journals

- M. Baust, A. Weinmann, M. Wieczorek, T. Lasser, M. Storath, and N. Navab Combined Tensor Fitting and TV Regularization in Diffusion Tensor Imaging based on a Riemannian Manifold Approach IEEE Transactions on Medical Imaging 35(8):1972-1989, 2016.
- W. Erb Bivariate Lagrange interpolation at the node points of Lissajous curves - the degenerate case Appl. Math. Comput. 289:409-425, 2015.
- W. Erb, C. Kaethner, M. Ahlborg, and T. M. Buzug Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves Numer. Math. 133(4):685-704, 2016.
- W. Erb, C. Kaethner, P. Dencker, and M. Ahlborg A survey on bivariate Lagrange interpolation on Lissajous nodes Dolomites Research Notes on Approximation 8:23-36, 2015.
- K. Hohm, M. Storath, and A. Weinmann An algorithmic framework for Mumford-Shah regularization of inverse problems in imaging Inverse Problems 31(11):115011, 2015.
- C. Kaethner, W. Erb, M. Ahlborg, P. Szwargulski, T. Knopp, and T.M. Buzug Non-Equispaced System Matrix Acquisition for Magnetic Particle Imaging based on Lissajous Node Points IEEE Transactions on Medical Imaging, 2016, Epub ahead of print, DOI: 10.1109/TMI.2016.2580458.
- T. März and A. Weinmann Model-Based Reconstruction for Magnetic Particle Imaging in 2D and 3D Inverse Problems and Imaging, 2016, accepted for publication.
- A. Stefanoiu, A. Weinmann, M. Storath, N. Navab, and M. Baust Joint Segmentation and Shape Regularization with a Generalized Forward Backward Algorithm IEEE Transactions on Image Processing, 25(7):3384-3394, 2016.
- M. Storath, C. Brandt, M. Hofmann, T. Knopp, J. Salamon, A. Weber, and A. Weinmann Edge preserving and noise reducing reconstruction for magnetic particle imaging IEEE Transactions on Medical Imaging, 2016, Epub ahead of print.
- M. Storath, A. Weinmann, and M. Unser Exact algorithms for L1-TV regularization of real-valued or circle-valued signals SIAM Journal on Scientific Computing 38(1):A614-A630, 2016.

#### Conference contributions

- M. Ahlborg, C. Kaethner, and T. Buzug Simulataneous Patch Reconstruction in Magnetic Particle Imaging In: International Workshop on Magnetic Particle Imaging, 2015.
- W. Erb, G. Bringout, J. Frikel, and T.M. Buzug A new 3D MPI model using realistic magnetic field topologies for algebraic reconstruction In: International Workshop on Magnetic Particle Imaging, 2016.
- C. Kaethner, M. Ahlborg, and T.M. Buzug Focus Field Based Trajectory Elongation in MPI In: International Workshop on Magnetic Particle Imaging, 2015.
- C. Kaethner, M. Ahlborg, W. Erb, and T.M. Buzug Lissajous Node Points for a Sytem Matrix based MPI Image Reconstruction Approach In: International Workshop on Magnetic Particle Imaging, 2016.
- T. Knopp, C. Kaethner, M. Ahlborg, and T.M. Buzug X-Space and Chebyshev Reconstruction in Magnetic Particle Imaging: A First Experimental Comparison In: International Workshop on Magnetic Particle Imaging, 2016.
- J. Mrongowius, J. Frikel, and C. Kaethner Tikhonov regularization scheme for image reconstruction in the presence of model errors In: Student Conference Medical Engineering Science, pages 233-236, 2016.
- M. Storath, C. Brandt, M. Hofmann, T. Knopp, A. Weber, and A. Weinmann Fused Lasso Regularization for Magnetic Particle Imaging In: International Workshop on Magnetic Particle Imaging, 2016.

#### Preprints

- P. Dencker, and W. Erb Multivariate polynomial interpolation on Lissajous-Chebyshev nodes arXiv:1511.04564 [math.NA], 2015.
- P. Dencker, W. Erb, Y. Kolomoitsev, and T. Lomako Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes arXiv:1608.03451 [math.NA], 2016.