Learning the invisible: A hybrid deep learning-shearlet framework for limited angle computed tomography

TA Bubba, G Kutyniok, M Lassas, M März… - Inverse …, 2019 - iopscience.iop.org
The high complexity of various inverse problems poses a significant challenge to model-
based reconstruction schemes, which in such situations often reach their limits. At the same …

Stability of image-reconstruction algorithms

P del Aguila Pla, S Neumayer… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Robustness and stability of image-reconstruction algorithms have recently come under
scrutiny. Their importance to medical imaging cannot be overstated. We review the known …

Template-based CT reconstruction with optimal transport and total generalized variation

Y Gao, Z Jin, X Li - Inverse Problems, 2023 - iopscience.iop.org
Abstract x-ray computed tomography (CT) has been widely used in clinical diagnosis as a
modality of medical imaging. To decrease the radiation dose patients suffering from, sparse …

Template-based image reconstruction from sparse tomographic data

LF Lang, S Neumayer, O Öktem… - Applied Mathematics & …, 2020 - Springer
We propose a variational regularisation approach for the problem of template-based image
reconstruction from indirect, noisy measurements as given, for instance, in X-ray computed …

Image reconstruction through metamorphosis

B Gris, C Chen, O Öktem - Inverse Problems, 2020 - iopscience.iop.org
The paper describes a method for reconstructing an image from noisy and indirect
observations by registering, via metamorphosis, a template. The image registration part …

Convergence of the time discrete metamorphosis model on Hadamard manifolds

A Effland, S Neumayer, M Rumpf - SIAM Journal on Imaging Sciences, 2020 - SIAM
Continuous image morphing is a classical task in image processing. The metamorphosis
model proposed by Trouvé, Younes, and coworkers [MI Miller and L. Younes, Int. J. Comput …

Template-Based Image Reconstruction Facing Different Topologies

S Neumayer, A Topalovic - Journal of Scientific Computing, 2024 - Springer
The reconstruction of images from measured data is an increasing field of research. For
highly under-determined problems, template-based image reconstruction provides a way of …

[HTML][HTML] Incorporation of a deformation prior in image reconstruction

B Gris - Journal of Mathematical Imaging and Vision, 2019 - Springer
This article presents a method to incorporate a deformation prior in image reconstruction via
the formalism of deformation modules. The framework of deformation modules allows to …

Consistent Approximation of Interpolating Splines in Image Metamorphosis

J Justiniano, M Rajković, M Rumpf - Journal of Mathematical Imaging and …, 2023 - Springer
This paper investigates a variational model for splines in the image metamorphosis model
for the smooth interpolation of key frames in the space of images. The Riemannian manifold …

[PDF][PDF] Robustness & Stability of Image-Reconstruction Algorithms using Variational Regularization Strategies

COO Adeogun - arXiv preprint arXiv:2206.07128, 2022 - sciforum.net
Robustness and stability of image-reconstruction algorithms have recently come under
scrutiny. Their importance to medical imaging cannot be overstated. We review the known …