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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

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

This article provides a mathematical analysis of singular (nonsmooth) artifacts added to reconstructions by filtered backprojection (FBP) type algorithms for X-ray CT with arbitrary incomplete data. We prove that these singular artifacts…

Functional Analysis · Mathematics 2018-10-02 Leise Borg , Jurgen Frikel , Jakob Sauer Jorgensen , Eric Todd Quinto

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

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

During X-ray computed tomography (CT) scanning, metallic implants carrying with patients often lead to adverse artifacts in the captured CT images and then impair the clinical treatment. Against this metal artifact reduction (MAR) task, the…

Image and Video Processing · Electrical Eng. & Systems 2022-12-27 Hong Wang , Qi Xie , Yuexiang Li , Yawen Huang , Deyu Meng , Yefeng Zheng

Metal objects pose a significant challenge in cone-beam computed tomography, as their strong and energy-dependent X-ray attenuation leads to inconsistent projections and severe streaking and shading artifacts in reconstructed images. These…

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

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

Ring artifacts are common artifacts in CT imaging, typically caused by inconsistent responses of detector units to X-rays, resulting in stripe artifacts in the projection data. Under circular scanning mode, such artifacts manifest as…

Image and Video Processing · Electrical Eng. & Systems 2025-04-16 Yunze Liu , Congyi Su , Xing Zhao

Computed tomography (CT) images containing metallic objects commonly show severe streaking and shadow artifacts. Metal artifacts are caused by nonlinear beam-hardening effects combined with other factors such as scatter and Poisson noise.…

Medical Physics · Physics 2017-08-02 Hyung Suk Park , Sung Min Lee , Hwa Pyung Kim , Jin Keun Seo

Due to the energy-dependent nature of the attenuation coefficient and the polychromaticity of the X-ray source, beam hardening effect occurs when X-ray photons penetrate through an object, causing a nonlinear projection data. When a linear…

Medical Physics · Physics 2018-12-07 Wei Zhao , Dengwang Li , Kai Niu , Wenjian Qin , Hao Peng , Tianye Niu

The presence of metallic implants often introduces severe metal artifacts in the X-ray CT images, which could adversely influence clinical diagnosis or dose calculation in radiation therapy. In this work, we present a novel…

Image and Video Processing · Electrical Eng. & Systems 2021-09-29 Lequan Yu , Zhicheng Zhang , Xiaomeng Li , Hongyi Ren , Wei Zhao , Lei Xing

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

Metallic implants introduce severe artifacts in CT images, which degrades the image quality. It is an effective method to reduce metal artifacts by replacing the metal affected projection with the forward projection of a prior image. How to…

Medical Physics · Physics 2014-09-05 Yanbo Zhang , Xuanqian Mou

This paper provides a fast and patient-specific scatter artifact correction method for cone-beam computed tomography (CBCT) used in image-guided interventional procedures. Due to increased irradiated volume of interest in CBCT imaging,…

Medical Physics · Physics 2015-01-20 Wei Zhao , Stephen Brunner , Kai Niu , Sebastian Schafer , Kevin Royalty , Guang-Hong Chen

Conebeam CT using a circular trajectory is quite often used for various applications due to its relative simple geometry. For conebeam geometry, Feldkamp, Davis and Kress algorithm is regarded as the standard reconstruction method, but this…

Image and Video Processing · Electrical Eng. & Systems 2020-06-04 Yoseob Han , Junyoung Kim , Jong Chul Ye

The purpose of this work is to provide a fast and accurate scatter artifacts correction algorithm for cone beam CT (CBCT) imaging. The method starts with an estimation of coarse scatter profiles for a set of CBCT data in either image domain…

Medical Physics · Physics 2016-04-27 Wei Zhao , Don Vernekohl , Jun Zhu , Luyao Wang , Lei Xing
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