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In many applications of tomography, the acquired projections are either limited in number or contain a significant amount of noise. In these cases, standard reconstruction methods tend to produce artifacts that can make further analysis…

Numerical Analysis · Mathematics 2016-04-11 D. M. Pelt , K. J. Batenburg

Proton computed tomography (pCT) is an image modality that will improve treatment planning for patients receiving proton radiation therapy compared with the current treatment techniques, which are based on X-ray CT. Reconstruction of a pCT…

Medical Physics · Physics 2021-08-30 Micah Witt , Blake Schultze , Reinhard Schulte , Keith Schubert , Ernesto Gomez

We study iterative signal reconstruction in computed tomography (CT), wherein measurements are produced by a linear transformation of the unknown signal followed by an exponential nonlinear map. Approaches based on pre-processing the data…

Optimization and Control · Mathematics 2024-07-19 Vasileios Charisopoulos , Rebecca Willett

Analyzing CT scans, MRIs and X-rays is pivotal in diagnosing and treating diseases. However, detecting and identifying abnormalities from such medical images is a time-intensive process that requires expert analysis and is prone to…

Image and Video Processing · Electrical Eng. & Systems 2025-03-14 Daniel Syomichev , Padmini Gopinath , Guang-Lin Wei , Eric Chang , Ian Gordon , Amanuel Seifu , Rahul Pemmaraju , Neehar Peri , James Purtilo

Medical imaging is an essential tool for diagnosing various healthcare diseases and conditions. However, analyzing medical images is a complex and time-consuming task that requires expertise and experience. This article aims to design a…

Image and Video Processing · Electrical Eng. & Systems 2023-05-15 Ayyub Alzahem , Shahid Latif , Wadii Boulila , Anis Koubaa

X-ray computed tomography (CT) reveals the materials' internal structures non-destructively from a tilt series of projected images. Filtered back projection (FBP) is a widely-adopted reconstruction algorithm in CT owing to its small…

This article is intended to supplement our 2015 paper in Medical Physics titled "Noise properties of CT images reconstructed by use of constrained total-variation, data-discrepancy minimization", in which ordered subsets methods were…

Medical Physics · Physics 2016-03-30 Sean Rose , Martin S. Andersen , Emil Y. Sidky , Xiaochuan Pan

Ultrasound computed tomography (USCT) is an emerging modality for breast imaging. Image reconstruction methods that incorporate accurate wave physics produce high resolution quantitative images of acoustic properties but are computationally…

Image and Video Processing · Electrical Eng. & Systems 2025-02-14 Luke Lozenski , Hanchen Wang , Fu Li , Mark A. Anastasio , Brendt Wohlberg , Youzuo Lin , Umberto Villa

Computed tomography (CT) is a key imaging modality for diagnosis, yet its clinical utility is marred by high radiation exposure and long turnaround times, restricting its use for larger-scale screening. Although chest radiography (CXR) is…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Jianzhong You , Yuan Gao , Sangwook Kim , Chris Mcintosh

Dealing with missing modalities in Magnetic Resonance Imaging (MRI) and overcoming their negative repercussions is considered a hurdle in biomedical imaging. The combination of a specified set of modalities, which is selected depending on…

Image and Video Processing · Electrical Eng. & Systems 2022-03-15 Reza Azad , Nika Khosravi , Mohammad Dehghanmanshadi , Julien Cohen-Adad , Dorit Merhof

Machine learning methods in healthcare have traditionally focused on using data from a single modality, limiting their ability to effectively replicate the clinical practice of integrating multiple sources of information for improved…

Machine Learning · Computer Science 2024-02-13 Felix Krones , Umar Marikkar , Guy Parsons , Adam Szmul , Adam Mahdi

A general framework is presented which unifies the treatment of wavelet-like, quasidistribution, and tomographic transforms. Explicit formulas relating the three types of transforms are obtained. The case of transforms associated to the…

Mathematical Physics · Physics 2009-11-07 M. A. Man'ko , V. I. Man'ko , R. Vilela Mendes

Computed Tomography serves as an indispensable tool in clinical workflows, providing non-invasive visualization of internal anatomical structures. Existing CT reconstruction works are limited to small-capacity model architecture and…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Yifan Liu , Wuyang Li , Weihao Yu , Chenxin Li , Alexandre Alahi , Max Meng , Yixuan Yuan

X-ray computed tomography is a powerful tool for volumetric imaging, where three-dimensional (3D) images are generated from a large number of individual X-ray projection images. Collecting the required number of low noise projection images…

Image and Video Processing · Electrical Eng. & Systems 2025-04-30 Zhenduo Shang , Thomas Blumensath

Magnetic Resonance Imaging (MRI) has become one of the most important tools to screen humans in medicine, virtually every modern hospital is equipped with an NMR tomograph. The potential of NMR in 3D imaging tasks is by far greater, but…

Soft Condensed Matter · Physics 2018-09-14 Ralf Stannarius

Computed Tomography (CT) reconstruction of objects with cylindrical symmetry can be performed with a single projection. When the measured rays are parallel, and the axis of symmetry is perpendicular to the optical axis, the data can be…

Medical Physics · Physics 2024-10-15 Kyle M. Champley , Ibrahim Oksuz , Matthew G. Bisbee , Joseph W. Tringe , Brian Maddox

Thermal tomography is an imaging technique for deducing information about the internal structure of a physical body from temperature measurements on its boundary. This work considers time-dependent thermal tomography modeled by a parabolic…

Numerical Analysis · Mathematics 2017-07-25 Nuutti Hyvönen , Lauri Mustonen

In practical applications of tomographic imaging, there are often challenges for image reconstruction due to under-sampling and insufficient data. In computed tomography (CT), for example, image reconstruction from few views would enable…

Medical Physics · Physics 2009-04-30 Emil Y. Sidky , Chien-Min Kao , Xiaochuan Pan

Recent escalation in the field of computer vision underpins a huddle of algorithms with the magnificent potential to unravel the information contained within images. These computer vision algorithms are being practised in medical image…

Image and Video Processing · Electrical Eng. & Systems 2022-03-30 Arshi Parvaiz , Muhammad Anwaar Khalid , Rukhsana Zafar , Huma Ameer , Muhammad Ali , Muhammad Moazam Fraz

In this work, we compare one-step and two-step approaches for X-ray computed tomography (CT) scatter correction and density reconstruction. X-ray CT is an important imaging technique in medical and industrial applications. In many cases,…

Image and Video Processing · Electrical Eng. & Systems 2023-01-11 Alexander N. Sietsema , Michael T. McCann , Marc L. Klasky , Saiprasad Ravishankar