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In X-ray CT scan with metallic objects, it is known that direct application of the filtered back-projection (FBP) formula leads to streaking artifacts in the reconstruction. These are characterized mathematically in terms of wave front sets…

Analysis of PDEs · Mathematics 2017-12-07 Benjamin Palacios , Gunther Uhlmann , Yiran Wang

Limited angle problem is a challenging issue in x-ray computed tomography (CT) field. Iterative reconstruction methods that utilize the additional prior can suppress artifacts and improve image quality, but unfortunately require increased…

Medical Physics · Physics 2016-10-04 Hanming Zhang , Liang Li , Kai Qiao , Linyuan Wang , Bin Yan , Lei Li , Guoen Hu

We study artifacts in the reconstruction of X-ray tomography due to nonlinear effects. For non-convex metal objects, we analyze the new phenomena of streak artifacts from inflection points on the boundary of metal objects. We characterize…

Analysis of PDEs · Mathematics 2021-09-15 Yiran Wang , Yuzhou Zou

The mathematical foundation of X-ray CT is based on the assumption that by measuring the attenuation of X-rays passing through an object, one can recover the integrals of the attenuation coefficient $\mu(x)$ along a sufficiently rich family…

Numerical Analysis · Mathematics 2025-05-07 Alexander Katsevich

Limited-angle computerized tomography stands for one of the most difficult challenges in imaging. Although it opens the way to faster data acquisition in industry and less dangerous scans in medicine, standard approaches, such as the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Bernadette Hahn , Gael Rigaud , Richard Schmähl

X-ray computed tomography (CT) is widely utilized in the medical, industrial, and other fields to nondestructively generate three-dimensional structural images of objects. However, CT images are often affected by various artifacts, with…

Medical Physics · Physics 2025-05-27 Yang Zou , Meili Qi , Jianhua Zhang , Difei Zhang , Shuwei Wang , Jiale Zhang , Shengkun Yao , Huaidong Jiang

We develop a paradigm using microlocal analysis that allows one to characterize the visible and added singularities in a broad range of incomplete data tomography problems. We give precise characterizations for photo- and thermoacoustic…

Analysis of PDEs · Mathematics 2015-01-22 Jürgen Frikel , Eric Todd Quinto

We study streaking artifacts caused by beam-hardening effects in X-ray computed tomography (CT). The effect is known to be nonlinear. We show that the nonlinearity can be recovered from the observed artifacts for strictly convex bodies. The…

Analysis of PDEs · Mathematics 2023-04-12 Yiran Wang

In this paper, we consider the problem of feature reconstruction from incomplete x-ray CT data. Such problems occurs, e.g., as a result of dose reduction in the context medical imaging. Since image reconstruction from incomplete data is a…

Image and Video Processing · Electrical Eng. & Systems 2022-02-23 Simon Göppel , Jürgen Frikel , Markus Haltmeier

Limited-angle computed tomography (CT) is often used in clinical applications such as C-arm CT for interventional imaging. However, CT images from limited angles suffers from heavy artifacts due to incomplete projection data. Existing…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Jawook Gu , Jong Chul Ye

Inconsistent responses of X-ray detector elements lead to stripe artifacts in the sinogram data, which manifest as ring artifacts in the reconstructed CT images, severely degrading image quality. This paper proposes a method for correcting…

Image and Video Processing · Electrical Eng. & Systems 2025-07-01 Ligen Shi , Xu Jiang , YunZe Liu , Chang Liu , Ping Yang , Shifeng Guo , Xing Zhao

Filtered back projection (FBP) is the most widely used method for image reconstruction in X-ray computed tomography (CT) scanners. The presence of hyper-dense materials in a scene, such as metals, can strongly attenuate X-rays, producing…

Computer Vision and Pattern Recognition · Computer Science 2019-08-02 Muhammad Usman Ghani , W. Clem Karl

Classical methods for X-ray computed tomography are based on the assumption that the X-ray source intensity is known, but in practice, the intensity is measured and hence uncertain. Under normal operating conditions, when the exposure time…

Numerical Analysis · Mathematics 2017-07-17 Hari Om Aggrawal , Martin Skovgaard Andersen , Sean Rose , Emil Y. Sidky

Metal streak artifacts in X-ray computerized tomography (CT) are rigorously characterized here using the notion of the wavefront set from microlocal analysis. The metal artifacts are caused mainly from the mismatch of the forward model of…

Analysis of PDEs · Mathematics 2014-06-03 Hyoung Suk Park , Jae Kyu Choi , Jin Keun Seo

Synthetic data provides a promising approach to address data scarcity for training machine learning models; however, adoption without proper quality assessments may introduce artifacts, distortions, and unrealistic features that compromise…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Rucha Deshpande , Tahsin Rahman , Miguel Lago , Adarsh Subbaswamy , Jana G. Delfino , Ghada Zamzmi , Elim Thompson , Aldo Badano , Seyed Kahaki

Optical projection tomography (OPT) is a powerful tool for biomedical studies. It achieves 3D visualization of mesoscopic biological samples with high spatial resolution using conventional tomographic-reconstruction algorithms. However,…

Optics · Physics 2025-02-07 Yan Liu , Jonathan Dong , Thanh-an Pham , François Marelli , Michael Unser

In computed tomography (CT), metal implants increase the inconsistencies between the measured data and the linear attenuation assumption made by analytic CT reconstruction algorithms. The inconsistencies give rise to dark and bright bands…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Sungsoo Ha , Klaus Mueller

Ring artifacts in X-ray micro-CT images are one of the primary causes of concern in their accurate visual interpretation and quantitative analysis. The geometry of X-ray micro-CT scanners is similar to the medical CT machines, except the…

Image and Video Processing · Electrical Eng. & Systems 2024-02-12 Dhruvi Shah , Shruti Mehta , Ashish Agrawal , Shishir Purohit , Bhaskar Chaudhury

Cone Beam Computed Tomography (CBCT) is widely used in dentistry for diagnostics and treatment planning. CBCT Imaging has a long acquisition time and consequently, the patient is likely to move. This motion causes significant artifacts in…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Abdul Salam Rasmi Asraf Ali , Andrea Fusiello , Claudio Landi , Cristina Sarti , Anneke Annassia Putri Siswadi

In this article, we consider the limited angle problem in computed X-ray tomography. A common practice is to use the filtered back projection with the limited data. However, this practice has been shown to introduce the artifacts along some…

Classical Analysis and ODEs · Mathematics 2015-06-22 Linh V. Nguyen
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