Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Storath, Martin"'
Computed Tomography (CT) is a widely used medical imaging modality, and as it is based on ionizing radiation, it is desirable to minimize the radiation dose. However, a reduced radiation dose comes with reduced image quality, and reconstruction from
Externí odkaz:
http://arxiv.org/abs/2403.03551
Many popular piecewise regression models rely on minimizing a cost function on the model fit with a linear penalty on the number of segments. However, this penalty does not take into account varying complexities of the model functions on the segments
Externí odkaz:
http://arxiv.org/abs/2312.16512
Autor:
Storath, Martin, Weinmann, Andreas
Smoothing splines are twice differentiable by construction, so they cannot capture potential discontinuities in the underlying signal. In this work, we consider a special case of the weak rod model of Blake and Zisserman (1987) that allows for discon
Externí odkaz:
http://arxiv.org/abs/2211.12785
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 tomography (CT). Our aim is to exploit the strong structural correlatio
Externí odkaz:
http://arxiv.org/abs/2009.05814
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 discrete, indirect and noisy measurements of some quantities describing the
Externí odkaz:
http://arxiv.org/abs/1812.00862
Autor:
Bendinger, Alina L., Debus, Charlotte, Glowa, Christin, Karger, Christian P., Peter, Jörg, Storath, Martin
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 between the arterial input function (AIF) and the contrast agent arrival in
Externí odkaz:
http://arxiv.org/abs/1811.10672
Autor:
Storath, Martin, Weinmann, Andreas
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 for this task and provide results on their well-posedness. We present
Externí odkaz:
http://arxiv.org/abs/1808.00505
Autor:
Storath, Martin, Weinmann, Andreas
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-valued data with indirect measurement operators. We provide results o
Externí odkaz:
http://arxiv.org/abs/1804.10432
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 that linear trends -- and in general polynomial trends -- in the data
Externí odkaz:
http://arxiv.org/abs/1803.06156
Current algorithmic approaches for piecewise affine motion estimation are based on alternating motion segmentation and estimation. We propose a new method to estimate piecewise affine motion fields directly without intermediate segmentation. To this
Externí odkaz:
http://arxiv.org/abs/1802.01872