Articles in Journals
- Exact algorithms for L1-TV regularization of real-valued or circle-valued signals (with M. Storath and M. Unser). SIAM Journal on Scientific Computing, 2016, to appear. Preprint.
- A second order non-smooth variational model for restoring manifold-valued images (with M. Bacak, R. Bergmann, and G. Steidl). SIAM Journal on Scientific Computing, 2016, to appear.
- A second order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data (with R. Bergmann). Journal of Mathematical Imaging and Vision, 2016, to appear.
- Mumford-Shah and Potts regularization for manifold-valued data (with L. Demaret and M. Storath). Journal of Mathematical Imaging and Vision, 2016, to appear. Preprint.
- An algorithmic framework for Mumford-Shah regularization of inverse problems in imaging (with K. Hohm and M. Storath). Inverse Problems 31 (2015) , 115011.
- Iterative Potts and Blake-Zisserman minimization for the recovery of functions with discontinuities from indirect measurements (with M. Storath). Proceedings of the Royal Society A 471 (2015), 20140638.
- The L1-Potts functional for robust jump-sparse reconstruction (with M. Storath and L. Demaret). SIAM Journal on Numerical Analysis 53 (2015), 644-673. Preprint.
- Second order differences of cyclic data and applications in variational denoising (with R. Bergmann, F. Laus and G. Steidl). SIAM Journal on Imaging Sciences (2014), 2916-2953. Preprint.
- Joint image reconstruction and segmentation using the Potts model (with M. Storath, J. Frikel and M. Unser ). Inverse Problems 31 (2015), 025003. Preprint.
- Total variation regularization for manifold-Valued data (with L. Demaret and M. Storath). SIAM Journal on Imaging Sciences 7 (2014), 2226-2257. Preprint.
- Fast partitioning of vector-valued images (with M. Storath). SIAM Journal on Imaging Sciences 7 (2014), 1826-1852. Preprint.
- Jump-sparse and sparse recovery using Potts functionals (with M. Storath and L. Demaret). IEEE Transactions on Signal Processing 62 (2014), 3654-3666. Preprint.
- Interpolatory multiscale representation for functions between manifolds. SIAM Journal on Mathematical Analysis 44 (2012), 162-191. Preprint.
- Subdivision schemes with general dilation in the geometric and nonlinear setting. Journal of Approximation Theory 164 (2012), 105-137. Preprint.
- Convergence and smoothness analysis of subdivision rules in Riemannian and symmetric spaces (with J. Wallner and E. Nava Yazdani). Advances in Computational Mathematics 34 (2011), 201-218. Preprint.
- Nonlinear subdivision schemes on irregular meshes. Constructive Approximation 31 (2010), 395-415. Preprint.
- Lipschitz spaces with respect to Jacobi translation (with R. Lasser). Mathematische Nachrichten 284 (2011), 2312-2326. Preprint.
Articles in Conference Proceedings
- Total variation regularization of shape signals (with M. Baust, L. Demaret, M. Storath, and N. Navab). IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2015.
- Inpainting of cyclic data using first and second order differences (with R. Bergmann). Proceedings of the Conference on Energy Minimization in Computer Vision and Pattern Recognition 2015. Pages 155–168. Preprint.
- Unsupervised texture segmentation using monogenic curvelets and the Potts model (with M. Storath and M. Unser). Proceedings of the IEEE International Conference on Image Processing (ICIP) 2014. Pages 4348–4352.