112 citations · 235 across the 6 of their papers we have counts for
4 papers · 1 filter
Mumford-Shah and Potts Regularization for Manifold-Valued Data with Applications to DTI and Q-Ball Imaging
Andreas Weinmann, Laurent Demaret, Martin Storath
Mumford-Shah and Potts functionals are powerful variational models for regularization which are widely used in signal and image processing; typical applications are edge-preserving…
Irregular Sampling of the Radon Transform of Bandlimited Functions
Thomas Wiese, Laurent Demaret
We provide conditions for exact reconstruction of a bandlimited function from irregular polar samples of its Radon transform. First, we prove that the Radon transform is a continuo…
Jump-sparse and sparse recovery using Potts functionals
Martin Storath, Andreas Weinmann, Laurent Demaret
We recover jump-sparse and sparse signals from blurred incomplete data corrupted by (possibly non-Gaussian) noise using inverse Potts energy functionals. We obtain analytical resul…
Signal Analysis based on Complex Wavelet Signs
Martin Storath, Laurent Demaret, Peter Massopust
We propose a signal analysis tool based on the sign (or the phase) of complex wavelet coefficients, which we call a signature. The signature is defined as the fine-scale limit of t…