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Compressive sensing (CS) has proved effective for tomographic reconstruction from sparsely collected data or under-sampled measurements, which are practically important for few-view CT, tomosynthesis, interior tomography, and so on. To…

Medical Physics · Physics 2018-02-13 Hu Chen , Yi Zhang , Yunjin Chen , Junfeng Zhang , Weihua Zhang , Huaiqiaing Sun , Yang Lv , Peixi Liao , Jiliu Zhou , Ge Wang

Diffusion models (DMs) have recently been introduced as a regularizing prior for PET image reconstruction, integrating DMs trained on high-quality PET images with unsupervised schemes that condition on measured data. While these approaches…

Medical Physics · Physics 2026-03-18 George Webber , Alexander Hammers , Andrew P King , Andrew J Reader

We develop mask iterative hard thresholding algorithms (mask IHT and mask DORE) for sparse image reconstruction of objects with known contour. The measurements follow a noisy underdetermined linear model common in the compressive sampling…

Machine Learning · Statistics 2011-12-05 Aleksandar Dogandzic , Renliang Gu , Kun Qiu

Total-variation (TV)-based Computed Tomography (CT) image reconstruction has shown experimentally to be capable of producing accurate reconstructions from sparse-view data. In particular TV-based reconstruction is very well suited for…

In the past decades, Computed Tomography (CT) has established itself as one of the most important imaging techniques in medicine. Today, the applicability of CT is only limited by the deposited radiation dose, reduction of which manifests…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Martin Zach , Erich Kobler , Thomas Pock

Electron tomographic reconstruction is a method for obtaining a three-dimensional image of a specimen with a series of two dimensional microscope images taken from different viewing angles. Filtered backprojection, one of the most popular…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Chen Mu , Chiwoo Park

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 total variation (TV) based iterative reconstruction algorithms assume that the signal is piecewise smooth, which causes reconstruction results to suffer from the over-smoothing effect. To address this problem, this work presents a…

Medical Physics · Physics 2018-03-06 Peng Bao , Jiliu Zhou , Yi Zhang

The generalized minimal residual (GMRES) algorithm is applied to image reconstruction using linear computed tomography (CT) models. The GMRES algorithm iteratively solves square, non-symmetric linear systems and it has practical application…

Medical Physics · Physics 2022-05-04 Emil Y. Sidky , Per Christian Hansen , Jakob S. Jørgensen , Xiaochuan Pan

We consider the reconstruction of a two-dimensional discrete image from a set of tomographic measurements corresponding to the Radon projection. Assuming that the image has a structure where neighbouring pixels have a larger probability to…

Numerical Analysis · Computer Science 2013-04-04 Emmanuelle Gouillart , Florent Krzakala , Marc Mezard , Lenka Zdeborová

Parallel imaging is a widely-used technique to accelerate magnetic resonance imaging (MRI). However, current methods still perform poorly in reconstructing artifact-free MRI images from highly undersampled k-space data. Recently, implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-10-20 Ruimin Feng , Qing Wu , Yuyao Zhang , Hongjiang Wei

In the practical applications of computed tomography imaging, the projection data may be acquired within a limited-angle range and corrupted by noises due to the limitation of scanning conditions. The noisy incomplete projection data…

Image and Video Processing · Electrical Eng. & Systems 2022-08-02 Qifeng Gao , Rui Ding , Linyuan Wang , Bin Xue , Yuping Duan

X-ray computed tomography (CT) is one of widely used diagnostic tools for medical and dental tomographic imaging of the human body. However, the standard filtered backprojection reconstruction method requires the complete knowledge of the…

Numerical Analysis · Mathematics 2016-02-24 Jae Kyu Choi , Bin Dong , Xiaoqun Zhang

Dynamic Photoacoustic Computed Tomography (PACT) is an important imaging technique for monitoring physiological processes, capable of providing high-contrast images of optical absorption at much greater depths than traditional optical…

Image and Video Processing · Electrical Eng. & Systems 2025-06-05 Youshen Xiao , Yiling Shi , Ruixi Sun , Hongjiang Wei , Fei Gao , Yuyao Zhang

Sparse-view computed tomography (CT) can be used to reduce radiation dose greatly but is suffers from severe image artifacts. Recently, the deep learning based method for sparse-view CT reconstruction has attracted a major attention.…

Image and Video Processing · Electrical Eng. & Systems 2022-11-21 Wenjun Xia , Wenxiang Cong , Ge Wang

Robustness of deep learning methods for limited angle tomography is challenged by two major factors: a) due to insufficient training data the network may not generalize well to unseen data; b) deep learning methods are sensitive to noise.…

Image and Video Processing · Electrical Eng. & Systems 2019-08-29 Yixing Huang , Alexander Preuhs , Guenter Lauritsch , Michael Manhart , Xiaolin Huang , Andreas Maier

Limited-angle and sparse-view computed tomography (LACT and SVCT) are crucial for expanding the scope of X-ray CT applications. However, they face challenges due to incomplete data acquisition, resulting in diverse artifacts in the…

Image and Video Processing · Electrical Eng. & Systems 2024-07-22 Chenhe Du , Xiyue Lin , Qing Wu , Xuanyu Tian , Ying Su , Zhe Luo , Rui Zheng , Yang Chen , Hongjiang Wei , S. Kevin Zhou , Jingyi Yu , Yuyao Zhang

In this work, we investigate the use of spatio-temporalImplicit Neural Representations (INRs) for dynamic X-ray computed tomography (XCT) reconstruction under interlaced acquisition schemes. The proposed approach combines ADMM-based…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Mathias Boulanger , Ericmoore Jossou

3D volumetric reconstruction from incomplete or noisy measurements is a fundamental problem in medical imaging and computational tomography. Deep image prior (DIP)-based methods have recently shown strong capability for solving inverse…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Haijie Yuan , Chaoyan Huang , Srijita Bandopadhyay , Liyue Shen , Saiprasad Ravishankar

Ultra low radiation dose in X-ray Computed Tomography (CT) is an important clinical objective in order to minimize the risk of carcinogenesis. Compressed Sensing (CS) enables significant reductions in radiation dose to be achieved by…

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