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Reconstructing an image from its Radon transform is a fundamental computed tomography (CT) task arising in applications such as X-ray scans. In many practical scenarios, a full 180-degree scan is not feasible, or there is a desire to reduce…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Ilmari Vahteristo , Zhi-Song Liu , Andreas Rupp

Industrial X-ray cone-beam CT (XCT) scanners are widely used for scientific imaging and non-destructive characterization. Industrial CBCT scanners use large detectors containing millions of pixels and the subsequent 3D reconstructions can…

Image and Video Processing · Electrical Eng. & Systems 2025-01-24 Aniket Pramanik , Singanallur V. Venkatakrishnan , Obaidullah Rahman , Amirkoushyar Ziabari

This paper applies the recent fast iterative neural network framework, Momentum-Net, using appropriate models to low-dose X-ray computed tomography (LDCT) image reconstruction. At each layer of the proposed Momentum-Net, the model-based…

Image and Video Processing · Electrical Eng. & Systems 2020-09-10 Siqi Ye , Yong Long , Il Yong Chun

Our goal is to reconstruct tomographic images with few measurements and a low signal-to-noise ratio. In clinical imaging, this helps to improve patient comfort and reduce radiation exposure. As quantum computing advances, we propose to use…

Quantum Physics · Physics 2023-10-17 Merlin A. Nau , A. Hans Vija , Wesley Gohn , Maximilian P. Reymann , Andreas K. Maier

Metal artifacts in computed tomography (CT) arise from a mismatch between physics of image formation and idealized assumptions during tomographic reconstruction. These artifacts are particularly strong around metal implants, inhibiting…

Image and Video Processing · Electrical Eng. & Systems 2019-09-20 Jan-Nico Zaech , Cong Gao , Bastian Bier , Russell Taylor , Andreas Maier , Nassir Navab , Mathias Unberath

Iterative image reconstruction (IIR) algorithms in Computed Tomography (CT) are based on algorithms for solving a particular optimization problem. Design of the IIR algorithm, therefore, is aided by knowledge of the solution to the…

Medical Physics · Physics 2013-02-22 Emil Y. Sidky , Jakob S. Jørgensen , Xiaochuan Pan

This work considers synergistic multi-spectral CT reconstruction where information from all available energy channels is combined to improve the reconstruction of each individual channel, we propose to fuse this available data (represented…

Optimization and Control · Mathematics 2021-08-04 Evelyn Cueva , Alexander Meaney , Samuli Siltanen , Matthias J. Ehrhardt

This is a review paper on some of the physics, modeling, and iterative algorithms in proton computed tomography (pCT) image reconstruction. The primary challenge in pCT image reconstruction lies in the degraded spatial resolution resulting…

Medical Physics · Physics 2015-10-30 Scott Penfold , Yair Censor

Sparse-view Computed Tomography (CT) reconstructs images from a limited number of X-ray projections to reduce radiation and scanning time, which makes reconstruction an ill-posed inverse problem. Deep learning methods achieve high-fidelity…

Image and Video Processing · Electrical Eng. & Systems 2025-12-16 Aujasvit Datta , Jiayun Wang , Asad Aali , Armeet Singh Jatyani , Anima Anandkumar

Optimization within a layer of a deep-net has emerged as a new direction for deep-net layer design. However, there are two main challenges when applying these layers to computer vision tasks: (a) which optimization problem within a layer is…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Raymond A. Yeh , Yuan-Ting Hu , Zhongzheng Ren , Alexander G. Schwing

X-ray computed tomographic infrastructures are medical imaging modalities that rely on the acquisition of rays crossing examined objects while measuring their intensity decrease. Physical measurements are post-processed by mathematical…

Image and Video Processing · Electrical Eng. & Systems 2022-01-25 Attila Juhos

Commercial iterative reconstruction techniques on modern CT scanners target radiation dose reduction but there are lingering concerns over their impact on image appearance and low contrast detectability. Recently, machine learning,…

Computer Vision and Pattern Recognition · Computer Science 2019-07-16 Hongming Shan , Atul Padole , Fatemeh Homayounieh , Uwe Kruger , Ruhani Doda Khera , Chayanin Nitiwarangkul , Mannudeep K. Kalra , Ge Wang

For nonlinear multispectral computed tomography (CT), accurate and fast image reconstruction is challenging when the scanning geometries under different X-ray energy spectra are inconsistent or mismatched. Motivated by this, we propose an…

Numerical Analysis · Mathematics 2025-07-28 Yu Gao , Chong Chen

In computed tomography (CT), data truncation is a common problem. Images reconstructed by the standard filtered back-projection algorithm from truncated data suffer from cupping artifacts inside the field-of-view (FOV), while anatomical…

Image and Video Processing · Electrical Eng. & Systems 2019-12-10 Yixing Huang , Lei Gao , Alexander Preuhs , Andreas Maier

Sparse-view Computed Tomography (CT) is an emerging protocol designed to reduce X-ray dose radiation in medical imaging. Traditional Filtered Back Projection algorithm reconstructions suffer from severe artifacts due to sparse data. In…

Numerical Analysis · Mathematics 2024-12-03 Elena Loli Piccolomini , Davide Evangelista , Elena Morotti

In this paper, we consider minimizing the L1/L2 term on the gradient for a limited-angle scanning problem in computed tomography (CT) reconstruction. We design a specific splitting framework for an unconstrained optimization model so that…

Optimization and Control · Mathematics 2021-03-19 Chao Wang , Min Tao , James Nagy , Yifei Lou

This work is concerned with the following fundamental question in scientific machine learning: Can deep-learning-based methods solve noise-free inverse problems to near-perfect accuracy? Positive evidence is provided for the first time,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Martin Genzel , Ingo Gühring , Jan Macdonald , Maximilian März

Image reconstruction in Multispectral Computed Tomography (MSCT) requires solving a challenging nonlinear inverse problem, commonly tackled via iterative optimization algorithms. Existing methods necessitate computing the derivative of the…

Numerical Analysis · Mathematics 2024-02-20 Thomas Prohaszka , Lukas Neumann , Markus Haltmeier

The motivation of this work is the detection of cerebrovascular accidents by microwave tomographic imaging. This requires the solution of an inverse problem relying on a minimization algorithm (for example, gradient-based), where successive…

Computational Engineering, Finance, and Science · Computer Science 2020-03-23 P. -H. Tournier , I. Aliferis , M. Bonazzoli , M. de Buhan , M. Darbas , V. Dolean , F. Hecht , P. Jolivet , I. El Kanfoud , C. Migliaccio , F. Nataf , C. Pichot , S. Semenov

We consider the imaging problem of the reconstruction of a three-dimensional object via optical diffraction tomography under the assumptions of the Born approximation. Our focus lies in the situation that a rigid object performs an…

Numerical Analysis · Mathematics 2024-07-11 Robert Beinert , Michael Quellmalz
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