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Discrete tomography deals with the reconstruction of images from projections collected along a few given directions. Different approaches can be considered, according to different models. In this paper we adopt the grid model, where pixels…

Discrete Mathematics · Computer Science 2019-06-25 Paolo Dulio , Silvia M. C. Pagani

In this paper, we introduce silhouette tomography, a novel formulation of X-ray computed tomography that relies only on the geometry of the imaging system. We formulate silhouette tomography mathematically and provide a simple method for…

Image and Video Processing · Electrical Eng. & Systems 2024-02-13 Evan Bell , Michael T. McCann , Marc Klasky

Computed tomography (CT) is a non-destructive technique for observing internal images and has proven highly valuable in medical diagnostics. Recent advances in quantum computing have begun to influence tomographic reconstruction techniques.…

Quantum Physics · Physics 2025-05-19 Arim Ryou , Kiwoong Kim , Kyungtaek Jun

Cone beam computed tomography (CBCT) is an important imaging technology widely used in medical scenarios, such as diagnosis and preoperative planning. Using fewer projection views to reconstruct CT, also known as sparse-view reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2024-06-07 Yiqun Lin , Jiewen Yang , Hualiang Wang , Xinpeng Ding , Wei Zhao , Xiaomeng Li

Computed Tomography (CT) is pivotal in industrial quality control and medical diagnostics. Sparse-view CT, offering reduced ionizing radiation, faces challenges due to its under-sampled nature, leading to ill-posed reconstruction problems.…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Jiayang Shi , Junyi Zhu , Daniel M. Pelt , K. Joost Batenburg , Matthew B. Blaschko

Performing X-ray computed tomography (CT) examinations with less radiation has recently received increasing interest: in medical imaging this means less (potentially harmful) radiation for the patient; in non-destructive testing of…

Medical Physics · Physics 2018-09-25 Dragos Trinca , Eduard Libin

We consider algebraic iterative reconstruction methods with applications in image reconstruction. In particular, we are concerned with methods based on an unmatched projector/backprojector pair; i.e., the backprojector is not the exact…

Numerical Analysis · Mathematics 2019-02-14 Yiqiu Dong , Per Christian Hansen , Michiel E. Hochstenbach , Nicolai Andre Brogaard Riis

X-ray tomography has been studied in various fields. Although a great deal of effort has been directed at reconstructing the projection image set from a rigid-type specimen, little attention has been addressed to the reconstruction of…

Computational Physics · Physics 2018-07-04 Kyungtaek Jun , Dongwook Kim

Variational formulations of reconstruction in computed tomography have the notable drawback of requiring repeated evaluations of both the forward Radon transform and either its adjoint or an approximate inverse transform which are…

Numerical Analysis · Mathematics 2017-05-23 Richard C. Barnard , Rick Archibald

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

Medical Physics · Physics 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

Cosmic ray muon computed tomography ({\mu}CT) is a new imaging modality with unique characteristics that could be particularly important for diverse applications including nuclear nonproliferation, spent nuclear fuel monitoring, cargo…

Instrumentation and Detectors · Physics 2018-10-17 Zhengzhi Liu , Stylianos Chatzidakis , John M. Scaglione , Can Liao , Haori Yang , Jason P. Hayward

While Computerized Tomography (CT) images can help detect disease such as Covid-19, regular CT machines are large and expensive. Cheaper and more portable machines suffer from errors in geometry acquisition that downgrades CT image quality.…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Peijian Ding

Neutron Computed Tomography (CT) is an increasingly utilised non-destructive analysis tool in material science, palaeontology, and cultural heritage. With the development of new neutron imaging facilities (such as DINGO, ANSTO, Australia)…

Instrumentation and Detectors · Physics 2019-09-04 Jeremy M. C. Brown , Ulf Garbe , Daniele Pelliccia

As the medical usage of computed tomography (CT) continues to grow, the radiation dose should remain at a low level to reduce the health risks. Therefore, there is an increasing need for algorithms that can reconstruct high-quality images…

Image and Video Processing · Electrical Eng. & Systems 2021-03-10 Davood Karimi , Rabab K. Ward

Reconstruction of few-view x-ray Computed Tomography (CT) data is a highly ill-posed problem. It is often used in applications that require low radiation dose in clinical CT, rapid industrial scanning, or fixed-gantry CT. Existing analytic…

Image and Video Processing · Electrical Eng. & Systems 2019-10-15 Hyojin Kim , Rushil Anirudh , K. Aditya Mohan , Kyle Champley

In this paper we consider 3D axis-symmetric (AS) object reconstruction from single cone-beam x-ray projection data. Traditional x-ray CT fails to capture fleeting state of material due to the long time for data acquisition at all angles.…

Numerical Analysis · Mathematics 2019-12-18 Shousheng Luo , Ruyue Meng , Suhua Wei , Jianfeng Cai , Xuecheng Tai , Yang Wang

A solution to the inversion problem of scattering would offer aberration-free diffraction-limited 3D images without the resolution and depth-of-field limitations of lens-based tomographic systems. Powerful algorithms are increasingly being…

Computed Tomography is one of the efficient and vital modalities of non-destructive techniques (NDT). Various factors influence the CT reconstruction result, including limited projection data, detector electronics optimization, background…

Image and Video Processing · Electrical Eng. & Systems 2022-05-31 Kajal Kumari , Mayank Goswami

A set of orthonormal polynomials is proposed for image reconstruction from projection data. The relationship between the projection moments and image moments is discussed in detail, and some interesting properties are demonstrated.…

Computer Vision and Pattern Recognition · Computer Science 2014-03-14 Huazhong Shu , Jian Zhou , Guo-Niu Han , Limin M. Luo , Jean-Louis Coatrieux

Low-dose Computed Tomography is a common issue in reality. Current reduction, sparse sampling and limited-view scanning can all cause it. Between them, limited-view CT is general in the industry due to inevitable mechanical and physical…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Ken Deng , Chang Sun , Yitong Liu , Hongwen Yang