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English: This paper concerns the image reconstruction from a few projections in Computed Tomography (CT). The main objective of this paper is to show that the problem is so ill posed that no classical method, such as analytical methods…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ali Mohammad-Djafari

Computed Tomography (CT) is a medical imaging modality that can generate more informative 3D images than 2D X-rays. However, this advantage comes at the expense of more radiation exposure, higher costs, and longer acquisition time. Hence,…

Image and Video Processing · Electrical Eng. & Systems 2023-09-12 Shuangqin Cheng , Qingliang Chen , Qiyi Zhang , Ming Li , Yamuhanmode Alike , Kaile Su , Pengcheng Wen

Computed Tomography (CT) with its remarkable capability for three-dimensional imaging from multiple projections, enjoys a broad range of applications in clinical diagnosis, scientific observation, and industrial detection. Neural Adaptive…

Image and Video Processing · Electrical Eng. & Systems 2023-11-06 Bo Xiong , Changqing Su , Zihan Lin , You Zhou , Zhaofei Yu

A realistic computer-simulation of a breast computed tomography (CT) system and subject is constructed. The model is used to investigate the optimal number of views for the scan given a fixed total X-ray fluence. The reconstruction…

Photon counting detection is a promising approach toward effectively reducing the radiation dose in x-ray computed tomography (CT). Full CT reconstruction from a fraction of the detected photons required by scintillation-based detectors has…

Medical Physics · Physics 2020-08-24 Zheyuan Zhu , Hsin-Hsiung Huang , Shuo Pang

Applying standard algorithms to sparse data problems in photoacoustic tomography (PAT) yields low-quality images containing severe under-sampling artifacts. To some extent, these artifacts can be reduced by iterative image reconstruction…

Numerical Analysis · Mathematics 2024-12-20 Stephan Antholzer , Johannes Schwab , Robert Nuster , Markus Haltmeier

As Computed Tomography (CT) scans are an essential medical test, many techniques have been proposed to reconstruct high-quality images using a smaller amount of radiation. One approach is to employ algebraic factorization methods to…

Image and Video Processing · Electrical Eng. & Systems 2019-07-04 Mónica Chillarón , Gregorio Quintana-Ortí , Vicente Vidal , Gumersindo Verdú

Computed tomography (CT) is an effective medical imaging modality, widely used in the field of clinical medicine for the diagnosis of various pathologies. Advances in Multidetector CT imaging technology have enabled additional…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 Abril Corona-Figueroa , Jonathan Frawley , Sam Bond-Taylor , Sarath Bethapudi , Hubert P. H. Shum , Chris G. Willcocks

Computed tomography (CT) is a widely-used imaging technology that assists clinical decision-making with high-quality human body representations. To reduce the radiation dose posed by CT, sparse-view and limited-angle CT are developed with…

Image and Video Processing · Electrical Eng. & Systems 2022-11-04 Ce Wang , Kun Shang , Haimiao Zhang , Shang Zhao , Dong Liang , S. Kevin Zhou

We demonstrate computerized tomography (CT) reconstructions from absorption, phase and dark-field signals obtained from scans acquired when the x-ray probe light is modulated with speckle. Two different interlaced schemes are proposed to…

Optics · Physics 2016-04-27 Sebastien Berujon , Eric Ziegler

Low-Dose computer tomography (LDCT) is an ideal alternative to reduce radiation risk in clinical applications. Although supervised-deep-learning-based reconstruction methods have demonstrated superior performance compared to conventional…

Image and Video Processing · Electrical Eng. & Systems 2024-05-24 Feng Wang , Renfang Wang , Hong Qiu

We introduce phase-diagram analysis, a standard tool in compressed sensing, to the X-ray CT community as a systematic method for determining how few projections suffice for accurate sparsity-regularized reconstruction. In compressed sensing…

Optimization and Control · Mathematics 2015-08-19 Jakob S. Jørgensen , Emil Y. Sidky

Recent advancements in deep learning for automated image processing and classification have accelerated many new applications for medical image analysis. However, most deep learning applications have been developed using reconstructed,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Hyunkwang Lee , Chao Huang , Sehyo Yune , Shahein H. Tajmir , Myeongchan Kim , Synho Do

Noninvasive X-ray imaging of nanoscale three-dimensional objects, e.g. integrated circuits (ICs), generally requires two types of scanning: ptychographic, which is translational and returns estimates of complex electromagnetic field through…

Image and Video Processing · Electrical Eng. & Systems 2024-08-15 Iksung Kang , Ziling Wu , Yi Jiang , Yudong Yao , Junjing Deng , Jeffrey Klug , Stefan Vogt , George Barbastathis

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

X-ray ptychography is one of the versatile techniques for nanometer resolution imaging. The magnitude of the diffraction patterns is recorded on a detector and the phase of the diffraction patterns is estimated using phase retrieval…

Image and Video Processing · Electrical Eng. & Systems 2021-05-21 Prasan Shedligeri , Florian Schiffers , Semih Barutcu , Pablo Ruiz , Aggelos K Katsaggelos , Oliver Cossairt

Limited-angle computed tomography (CT) image reconstruction is a challenging reconstruction problem in the fields of CT. With the development of deep learning, the generative adversarial network (GAN) perform well in image restoration by…

Medical Physics · Physics 2019-03-12 Ziheng Li , Wenkun Zhang , Linyuan Wang , Ailong Cai , Ningning Liang , Bin Yan , Lei Li

X-ray Computed Laminography (CL) is essential for non-destructive inspection of plate-like structures in applications such as microchips and composite battery materials, where traditional computed tomography (CT) struggles due to geometric…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Chu Chen , Ander Biguri , Jean-Michel Morel , Raymond H. Chan , Carola-Bibiane Schönlieb , Jizhou Li

Computed tomography (CT) is a widely used non-invasive diagnostic method in various fields, and recent advances in deep learning have led to significant progress in CT image reconstruction. However, the lack of large-scale, open-access…

Image and Video Processing · Electrical Eng. & Systems 2024-12-12 Maximilian B. Kiss , Ander Biguri , Zakhar Shumaylov , Ferdia Sherry , K. Joost Batenburg , Carola-Bibiane Schönlieb , Felix Lucka

In the intention of minimizing excessive X-ray radiation administration to patients, low-dose computed tomography (LDCT) has become a distinct trend in radiology. However, while lowering the radiation dose reduces the risk to the patient,…

Medical Physics · Physics 2022-04-12 Long Zhou , Xiaozhuang Wang , Min Hou , Ping Li , Chunlong Fu , Yanjun Ren , Tingting Shao , Xi Hu , Jihong Sun , Hongwei Ye