114 citations · 649 across the 22 of their papers we have counts for
3 papers · 1 filter
Joint Image Reconstruction and Segmentation Using the Potts Model
Martin Storath, Andreas Weinmann, Jürgen Frikel +1
We propose a new algorithmic approach to the non-smooth and non-convex Potts problem (also called piecewise-constant Mumford-Shah problem) for inverse imaging problems. We derive a…
Total variation regularization for manifold-valued data
Andreas Weinmann, Laurent Demaret, Martin Storath
We consider total variation minimization for manifold valued data. We propose a cyclic proximal point algorithm and a parallel proximal point algorithm to minimize TV functionals w…
The L1-Potts functional for robust jump-sparse reconstruction
Andreas Weinmann, Martin Storath, Laurent Demaret
We investigate the non-smooth and non-convex -Potts functional in discrete and continuous time. We show -convergence of discrete -Potts functionals towards their conti…