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Spectral computed tomography (CT) is an emerging technology capable of providing high chemical specificity, which is crucial for many applications such as detecting threats in luggage. This type of application requires both fast and…

Image and Video Processing · Electrical Eng. & Systems 2021-03-30 Wail Mustafa , Christian Kehl , Ulrik Lund Olsen , Søren Kimmer Schou Gregersen , David Malmgren-Hansen , Jan Kehres , Anders Bjorholm Dahl

Computed Tomography (CT) is a non-invasive imaging modality with applications ranging from healthcare to security. It reconstructs cross-sectional images of an object using a collection of projection data collected at different angles.…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Muhammad Usman Ghani , W. Clem Karl

A long-standing challenge in tomography is the 'missing wedge' problem, which arises when the acquisition of projection images within a certain angular range is restricted due to geometrical constraints. This incomplete dataset results in…

Materials Science · Physics 2025-03-26 Chonghang Zhao , Mingyuan Ge , Xiaogang Yang , Yong S. Chu , Hanfei Yan

While filtered back projection (FBP) is still the method of choice for fast tomographic reconstruction, its performance degrades noticeably in the presence of noise, incomplete sampling, or non-standard scan geometries. We propose a…

Numerical Analysis · Mathematics 2026-02-16 Hamid Fathi , Alexander Skorikov , Tristan van Leeuwen

This paper introduces a novel method for reconstructing cone beam computed tomography (CBCT) images for arbitrary orbits using a differentiable shift-variant filtered backprojection (FBP) neural network. Traditional CBCT reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Chengze Ye , Linda-Sophie Schneider , Yipeng Sun , Mareike Thies , Siyuan Mei , Andreas Maier

In this study, we introduce a Fourier series-based trainable filter for computed tomography (CT) reconstruction within the filtered backprojection (FBP) framework. This method overcomes the limitation in noise reduction by optimizing…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Yipeng Sun , Linda-Sophie Schneider , Fuxin Fan , Mareike Thies , Mingxuan Gu , Siyuan Mei , Yuzhong Zhou , Siming Bayer , Andreas Maier

In this paper, we first propose a variational model for the limited-angle computed tomography (CT) image reconstruction and then convert the model into an end-to-end deep network.We use the penalty method to solve the model and divide it…

Image and Video Processing · Electrical Eng. & Systems 2020-08-11 Wei Wang , Xiang-Gen Xia , Chuanjiang He , Zemin Ren , Jian Lu , Tianfu Wang , Baiying Lei

Recently, compressed sensing (CS) computed tomography (CT) using sparse projection views has been extensively investigated to reduce the potential risk of radiation to patient. However, due to the insufficient number of projection views, an…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Yo Seob Han , Jaejun Yoo , Jong Chul Ye

Spectral computed tomography has received considerable interest in recent years since spectral measurements contain much richer information about the object of interest. In spectral computed tomography, we are interested in the energy…

Numerical Analysis · Mathematics 2022-03-04 Katrine O Bangsgaard , Genoveva Burca , Evelina Ametova , Martin S Andersen , Jakob S Jørgensen

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

Assume you encounter an inverse problem that shall be solved for a large number of data, but no ground-truth data is available. To emulate this encounter, in this study, we assume it is unknown how to solve the imaging problem of Computed…

Filtered back projection (FBP) is a commonly used technique in tomographic image reconstruction demonstrating acceptable quality. The classical direct implementations of this algorithm require the execution of $\Theta(N^3)$ operations,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-14 Anastasiya Dolmatova , Marina Chukalina , Dmitry Nikolaev

Low-dose CT imaging requires reconstruction from noisy indirect measurements which can be defined as an ill-posed linear inverse problem. In addition to conventional FBP method in CT imaging, recent compressed sensing based methods exploit…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Mehmet Ozan Unal , Metin Ertas , Isa Yildirim

Lossy compression introduces complex compression artifacts, particularly the blocking artifacts, ringing effects and blurring. Existing algorithms either focus on removing blocking artifacts and produce blurred output, or restores sharpened…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Chao Dong , Yubin Deng , Chen Change Loy , Xiaoou Tang

Deep learning has been widely used for solving image reconstruction tasks but its deployability has been held back due to the shortage of high-quality training data. Unsupervised learning methods, such as the deep image prior (DIP),…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Riccardo Barbano , Javier Antorán , Johannes Leuschner , José Miguel Hernández-Lobato , Bangti Jin , Željko Kereta

In the practical applications of computed tomography imaging, the projection data may be acquired within a limited-angle range and corrupted by noises due to the limitation of scanning conditions. The noisy incomplete projection data…

Image and Video Processing · Electrical Eng. & Systems 2022-08-02 Qifeng Gao , Rui Ding , Linyuan Wang , Bin Xue , Yuping Duan

Computed tomography from a low radiation dose (LDCT) is challenging due to high noise in the projection data. Popular approaches for LDCT image reconstruction are two-stage methods, typically consisting of the filtered backprojection (FBP)…

Image and Video Processing · Electrical Eng. & Systems 2025-03-17 Tim Selig , Thomas März , Martin Storath , Andreas Weinmann

Computed tomography (CT) has become an essential part of modern science and medicine. A CT scanner consists of an X-ray source that is spun around an object of interest. On the opposite end of the X-ray source, a detector captures X-rays…

Image and Video Processing · Electrical Eng. & Systems 2023-09-14 Thomas Germer , Jan Robine , Sebastian Konietzny , Stefan Harmeling , Tobias Uelwer

Limited-angle tomography is a highly ill-posed linear inverse problem. It arises in many applications, such as digital breast tomosynthesis. Reconstructions from limited-angle data typically suffer from severe stretching of features along…

Image and Video Processing · Electrical Eng. & Systems 2022-04-22 Siiri Rautio , Rashmi Murthy , Tatiana A. Bubba , Matti Lassas , Samuli Siltanen

In SPECT image reconstruction, limited-angle (LA) conditions lead to a loss of frequency components, which distort the reconstructed tomographic image along directions corresponding to the non-collected projection angle range. Although…

Medical Physics · Physics 2025-07-16 Kensuke Hori , Fumio Hashimoto , Kazuya Koyama , Takeyuki Hashimoto