114 citations · 649 across the 22 of their papers we have counts for
5 papers · 1 filter
Iterative Potts minimization for the recovery of signals with discontinuities from indirect measurements -- the multivariate case
Lukas Kiefer, Martin Storath, Andreas Weinmann
Signals and images with discontinuities appear in many problems in such diverse areas as biology, medicine, mechanics, and electrical engineering. The concrete data are often discr…
Wavelet Sparse Regularization for Manifold-Valued Data
Martin Storath, Andreas Weinmann
In this paper, we consider the sparse regularization of manifold-valued data with respect to an interpolatory wavelet/multiscale transform. We propose and study variational models…
Variational Regularization of Inverse Problems for Manifold-Valued Data
Martin Storath, Andreas Weinmann
In this paper, we consider the variational regularization of manifold-valued data in the inverse problems setting. In particular, we consider TV and TGV regularization for manifold…
Smoothing for signals with discontinuities using higher order Mumford-Shah models
Martin Storath, Lukas Kiefer, Andreas Weinmann
Minimizing the Mumford-Shah functional is frequently used for smoothing signals or time series with discontinuities. A significant limitation of the standard Mumford-Shah model is…
Fast Piecewise-Affine Motion Estimation Without Segmentation
Denis Fortun, Martin Storath, Dennis Rickert +2
Current algorithmic approaches for piecewise affine motion estimation are based on alternating motion segmentation and estimation. We propose a new method to estimate piecewise aff…