6 papers
Multi-Channel Potts-Based Reconstruction for Multi-Spectral Computed Tomography
Lukas Kiefer, Stefania Petra, Martin Storath +1
We consider reconstructing multi-channel images from measurements performed by photon-counting and energy-discriminating detectors in the setting of multi-spectral X-ray computed t…
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…
Bolus arrival time estimation in dynamic contrast-enhanced magnetic resonance imaging of small animals based on spline models
Alina L. Bendinger, Charlotte Debus, Christin Glowa +3
Dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI) is used to quantify perfusion and vascular permeability. In most cases a bolus arrival time (BAT) delay exists betwee…
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…
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…