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Computed tomography is a method for synthesizing volumetric or cross-sectional images of an object from a collection of projections. Popular reconstruction methods for computed tomography are based on idealized models and assumptions that…

Numerical Analysis · Mathematics 2022-03-03 Frederik H. Pedersen , Jakob S. Jørgensen , Martin S. Andersen

With advanced X-ray source and detector technologies being continuously developed, non-traditional CT geometries have been widely explored. Generalized-Equiangular Geometry CT (GEGCT) architecture, in which an X-ray source might be…

Medical Physics · Physics 2023-06-30 Yingxian Xia , Zhiqiang Chen , Li Zhang , Yuxiang Xing , Hewei Gao

Cone-beam CT (CBCT) is widely used in clinical radiotherapy for image-guided treatment, improving setup accuracy, adaptive planning, and motion management. However, slow gantry rotation limits performance by introducing motion artifacts,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Yuan Gao , Shaoyan Pan , Mingzhe Hu , Huiqiao Xie , Jill Remick , Chih-Wei Chang , Justin Roper , Zhen Tian , Xiaofeng Yang

We present two theorems describing analytic left-inverses of partial X-ray transforms. The first theorem concerns X-ray data collected with an arbitrary distribution of parallel projections; it contains a convolution-backprojection formula…

Medical Physics · Physics 2025-07-01 Murdock G. Grewar

Many imaging technologies rely on tomographic reconstruction, which requires solving a multidimensional inverse problem given a finite number of projections. Backprojection is a popular class of algorithm for tomographic reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2020-06-03 Xueqing Liu , Paul Sajda

Filtered back projection (FBP) is a classical method for image reconstruction from sinogram CT data. FBP is computationally efficient but produces lower quality reconstructions than more sophisticated iterative methods, particularly when…

Image and Video Processing · Electrical Eng. & Systems 2018-07-09 Dong Hye Ye , Gregery T. Buzzard , Max Ruby , Charles A. Bouman

For conventional computed tomography (CT) image reconstruction tasks, the most popular method is the so-called filtered-back-projection (FBP) algorithm. In it, the acquired Radon projections are usually filtered first by a ramp kernel…

Medical Physics · Physics 2018-07-06 Yongshuai Ge , Qiyang Zhang , Zhanli Hu , Jianwei Chen , Wei Shi , Hairong Zheng , Dong Liang

Cone-beam computed tomography (CBCT) systems, with their flexibility, present a promising avenue for direct point-of-care medical imaging, particularly in critical scenarios such as acute stroke assessment. However, the integration of CBCT…

In oriented object detection, current representations of oriented bounding boxes (OBBs) often suffer from boundary discontinuity problem. Methods of designing continuous regression losses do not essentially solve this problem. Although…

Computer Vision and Pattern Recognition · Computer Science 2024-06-13 Zhen Zhou , Yunkai Ma , Junfeng Fan , Zhaoyang Liu , Fengshui Jing , Min Tan

Computed Tomography (CT) is a key 3D imaging technology that fundamentally relies on the compute-intense back-projection operation to generate 3D volumes. GPUs are typically used for back-projection in production CT devices. However, with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-28 Peng Chen , Mohamed Wahib , Xiao Wang , Shinichiro Takizawa , Takahiro Hirofuchi , Hirotaka Ogawa , Satoshi Matsuoka

Cone Beam Computed Tomography (CBCT) plays a vital role in clinical imaging. Traditional methods typically require hundreds of 2D X-ray projections to reconstruct a high-quality 3D CBCT image, leading to considerable radiation exposure.…

Image and Video Processing · Electrical Eng. & Systems 2024-10-08 Zhentao Liu , Yu Fang , Changjian Li , Han Wu , Yuan Liu , Dinggang Shen , Zhiming Cui

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

Tomography is a central tool in medical applications, allowing doctors to investigate patients' interior features. The Radon transform (in two dimensions) is commonly used to model the measurement process in parallel-beam CT. Suitable…

Numerical Analysis · Mathematics 2026-02-27 Richard Huber

Micro-computed tomography (micro-CT) is a widely used state-of-the-art instrument employed to study the morphological structures of objects in various fields. However, its small field-of-view (FOV) cannot meet the pressing demand for…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Zhisheng Wang , Haijun Yu , Yixing Huang , Shunli Wang , Song Ni , Zongfeng Li , Fenglin Liu , Junning Cui

Group Equivariant Convolution (GConv) can capture rotational equivariance from original data. It assumes uniform and strict rotational equivariance across all features as the transformations under the specific group. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-15 Zhiqiang Wu , Yingjie Liu , Licheng Sun , Jian Yang , Hanlin Dong , Shing-Ho J. Lin , Xuan Tang , Jinpeng Mi , Bo Jin , Xian Wei

In Cone-Beam CT (CBCT) imaging systems, the scattering phenomenon has a significant impact on the reconstructed image and is a long-lasting research topic on CBCT. In this paper, we propose a simple, novel and fast approach for mitigating…

Medical Physics · Physics 2016-04-07 Shi-peng Xie , Rui-ju Yan

Purpose: Cone-beam CT (CBCT) plays an important role in image guided radiation therapy (IGRT). However, the large radiation dose from serial CBCT scans in most IGRT procedures raises a clinical concern, especially for pediatric patients who…

Medical Physics · Physics 2015-05-18 Xun Jia , Yifei Lou , Ruijiang Li , William Y. Song , Steve B. Jiang

This study presents a novel approach for reconstructing cone beam computed tomography (CBCT) for specific orbits using known operator learning. Unlike traditional methods, this technique employs a filtered backprojection type (FBP-type)…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Chengze Ye , Linda-Sophie Schneider , Yipeng Sun , Andreas Maier

For extending CT field-of-view to perform non-destructive testing, the Symmetric Multi-Linear trajectory Computed Tomography (SMLCT) has been developed as a successful example of non-standard CT scanning modes. However, inevitable geometric…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Zhisheng Wang , Yanxu Sun , Shangyu Li , Legeng Lin , Shunli Wang , Junning Cui

Deep learning has become the state-of-the-art approach to medical tomographic imaging. A common approach is to feed the result of a simple inversion, for example the backprojection, to a multiscale convolutional neural network (CNN) which…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 AmirEhsan Khorashadizadeh , Valentin Debarnot , Tianlin Liu , Ivan Dokmanić
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