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.