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math.OC2013★ 73 cited
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…
math.OC2012★ 24 cited
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…