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相关论文: Limited-angle CT reconstruction via the L1/L2 mini…

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We present a note on the implementation and efficacy of a box-constrained $L_1/L_2$ regularization in numerical optimization approaches to performing tomographic reconstruction from a single projection view. The constrained $L_1/L_2$…

In this paper, we study the L1/L2 minimization on the gradient for imaging applications. Several recent works have demonstrated that L1/L2 is better than the L1 norm when approximating the L0 norm to promote sparsity. Consequently, we…

数值分析 · 数学 2022-05-25 Chao Wang , Min Tao , Chen-Nee Chuah , James Nagy , Yifei Lou

Due to the COVID-19 pandemic, there is an increasing demand for portable CT machines worldwide in order to diagnose patients in a variety of settings. This has led to a need for CT image reconstruction algorithms that can produce high…

数值分析 · 数学 2025-12-10 Mai Phuong Pham Huynh , Manuel Santana , Ana Castillo

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…

计算机视觉与模式识别 · 计算机科学 2017-08-01 Jawook Gu , Jong Chul Ye

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…

数值分析 · 数学 2016-02-24 Jae Kyu Choi , Bin Dong , Xiaoqun Zhang

Computed Tomography (CT) reconstruction is a fundamental component to a wide variety of applications ranging from security, to healthcare. The classical techniques require measuring projections, called sinograms, from a full 180$^\circ$…

计算机视觉与模式识别 · 计算机科学 2018-07-12 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle Champley , Timo Bremer

While Computerized Tomography (CT) images can help detect disease such as Covid-19, regular CT machines are large and expensive. Cheaper and more portable machines suffer from errors in geometry acquisition that downgrades CT image quality.…

图像与视频处理 · 电气工程与系统科学 2021-08-03 Peijian Ding

Spectral computed tomography (CT) has a great superiority in lesion detection, tissue characterization and material decomposition. To further extend its potential clinical applications, in this work, we propose an improved tensor dictionary…

计算机视觉与模式识别 · 计算机科学 2018-07-25 Weiwen Wu , Yanbo Zhang , Qian Wang , Fenglin Liu , Peijun Chen , Hengyong Yu

In this paper we propose a new joint model for the reconstruction of tomography data under limited angle sampling regimes. In many applications of Tomography, e.g. Electron Microscopy and Mammography, physical limitations on acquisition…

In this paper, we first propose a variational model for the limited-angle computed tomography (CT) image reconstruction and then convert the model into an end-to-end deep network.We use the penalty method to solve the model and divide it…

图像与视频处理 · 电气工程与系统科学 2020-08-11 Wei Wang , Xiang-Gen Xia , Chuanjiang He , Zemin Ren , Jian Lu , Tianfu Wang , Baiying Lei

The alternating direction method of multipliers (ADMM) algorithm is a powerful and flexible tool for complex optimization problems of the form $\min\{f(x)+g(y) : Ax+By=c\}$. ADMM exhibits robust empirical performance across a range of…

最优化与控制 · 数学 2024-02-08 Rina Foygel Barber , Emil Y. Sidky

Computed tomography (CT) has become an essential part of modern science and medicine. A CT scanner consists of an X-ray source that is spun around an object of interest. On the opposite end of the X-ray source, a detector captures X-rays…

图像与视频处理 · 电气工程与系统科学 2023-09-14 Thomas Germer , Jan Robine , Sebastian Konietzny , Stefan Harmeling , Tobias Uelwer

This paper presents an iterative inversion algorithm for computed tomography image reconstruction that performs well in terms of accuracy and speed using limited data. The computational method combines an image domain technique and…

图像与视频处理 · 电气工程与系统科学 2019-01-17 Victor Churchill , Anne Gelb

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…

图像与视频处理 · 电气工程与系统科学 2025-10-07 Bernadette Hahn , Gael Rigaud , Richard Schmähl

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…

图像与视频处理 · 电气工程与系统科学 2022-08-02 Qifeng Gao , Rui Ding , Linyuan Wang , Bin Xue , Yuping Duan

In this paper, we carry out a unified study for $L_1$ over $L_2$ sparsity promoting models, which are widely used in the regime of coherent dictionaries for recovering sparse nonnegative/arbitrary signals. First, we provide a unified…

最优化与控制 · 数学 2023-01-24 Min Tao , Xiao-Ping Zhang

This work proposes a novel convex-non-convex formulation of the image segmentation and the image completion problems. The proposed approach is based on the minimization of a functional involving two distinct regularization terms: one…

数值分析 · 数学 2025-09-01 Mohamed El Guide , Anas El Hachimi , Khalide Jbilou , Lothar Reichel

Limited view tomographic reconstruction aims to reconstruct a tomographic image from a limited number of sinogram or projection views arising from sparse view or limited angle acquisitions that reduce radiation dose or shorten scanning…

图像与视频处理 · 电气工程与系统科学 2020-09-04 Bo Zhou , S. Kevin Zhou , James S. Duncan , Chi Liu

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

最优化与控制 · 数学 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

Limited-angle computed tomography (LACT) reconstruction is an inverse problem with severe ill-posedness arising from missing projection angles, and it is difficult to restore high-precision images without sufficient prior knowledge. In…

图像与视频处理 · 电气工程与系统科学 2026-03-06 Hinako Isogai , Naruki Murahashi , Mitsuhiro Nakamura , Megumi Nakao
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