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Low-dose tomography is highly preferred in medical procedures for its reduced radiation risk when compared to standard-dose Computed Tomography (CT). However, the lower the intensity of X-rays, the higher the acquisition noise and hence the…

图像与视频处理 · 电气工程与系统科学 2019-12-24 Preeti Gopal , Sharat Chandran , Imants Svalbe , Ajit Rajwade

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

计算机视觉与模式识别 · 计算机科学 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

Purpose: We develop an iterative image-reconstruction algorithm for application to low-intensity computed tomography (CT) projection data, which is based on constrained, total-variation (TV) minimization. The algorithm design focuses on…

医学物理 · 物理学 2015-05-20 Emil Y. Sidky , Yuval Duchin , Christer Ullberg , Xiaochuan Pan

In practical applications of tomographic imaging, there are often challenges for image reconstruction due to under-sampling and insufficient data. In computed tomography (CT), for example, image reconstruction from few views would enable…

医学物理 · 物理学 2009-04-30 Emil Y. Sidky , Chien-Min Kao , Xiaochuan Pan

We propose a direct reconstruction algorithm for Computed Tomography, based on a local fusion of a few preliminary image estimates by means of a non-linear fusion rule. One such rule is based on a signal denoising technique which is…

计算机视觉与模式识别 · 计算机科学 2010-04-27 Joseph Shtok , Michael Zibulevsky , Michael Elad

In this paper we propose a new approach for tomographic reconstruction with spatially varying regularization parameter. Our work is based on the SA-TV image restoration model proposed in [3] where an automated parameter selection rule for…

数值分析 · 数学 2018-11-27 Yiqiu Dong , Carola-Bibiane Schönlieb

State-of-the-art image reconstruction often relies on complex, highly parameterized deep architectures. We propose an alternative: a data-driven reconstruction method inspired by the classic Tikhonov regularization. Our approach iteratively…

图像与视频处理 · 电气工程与系统科学 2025-02-07 Mehrsa Pourya , Erich Kobler , Michael Unser , Sebastian Neumayer

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

Our work considers the optimization of the sum of a non-smooth convex function and a finite family of composite convex functions, each one of which is composed of a convex function and a bounded linear operator. This type of problem is…

最优化与控制 · 数学 2019-08-30 Yu-Chao Tang , Chuan-Xi Zhu , Meng Wen , Ji-Gen Peng

In this work we present a novel optimization strategy for image reconstruction tasks under analysis-based image regularization, which promotes sparse and/or low-rank solutions in some learned transform domain. We parameterize such…

计算机视觉与模式识别 · 计算机科学 2023-08-11 Iaroslav Koshelev , Stamatios Lefkimmiatis

We propose a systematic method for constructing a sparse data reconstruction algorithm in compressed sensing at a relatively low computational cost for general observation matrix. It is known that the cost of l1-norm minimization using a…

信息论 · 计算机科学 2014-04-10 Koujin Takeda , Yoshiyuki Kabashima

Currently, most deep learning methods cannot solve the problem of scarcity of industrial product defect samples and significant differences in characteristics. This paper proposes an unsupervised defect detection algorithm based on a…

计算机视觉与模式识别 · 计算机科学 2022-12-27 Chao Hu , Jian Yao , Weijie Wu , Weibin Qiu , Liqiang Zhu

In this paper we study the performance of image reconstruction methods from incomplete samples of the 2D discrete Fourier transform. Inspired by requirements in parallel MRI, we focus on a special sampling pattern with a small number of…

数值分析 · 数学 2025-10-22 Gerlind Plonka , Anahita Riahi

Total variation (TV) regularization is popular in image restoration and reconstruction due to its ability to preserve image edges. To date, most research activities on TV models concentrate on image restoration from blurry and noisy…

最优化与控制 · 数学 2010-01-13 Yunhai Xiao , Junfeng Yang

The use of ray projections to reconstruct images is a common technique in medical imaging. Dealing with incomplete data is particularly important when a patient is vulnerable to potentially damaging radiation or is unable to cope with the…

神经与进化计算 · 计算机科学 2024-06-04 Mohammad Majid al-Rifaie , Tim Blackwell

The L1 norm regularized least squares method is often used for finding sparse approximate solutions and is widely used in 1-D signal restoration. Basis pursuit denoising (BPD) performs noise reduction in this way. However, the shortcoming…

计算机视觉与模式识别 · 计算机科学 2020-01-30 Nantheera Anantrasirichai , Rencheng Zheng , Ivan Selesnick , Alin Achim

The L1-norm of the gradient-magnitude images (GMI), which is the well-known total variation (TV) model, is widely used as regularization in the few views CT reconstruction. As the L1-norm TV regularization is tending to uniformly penalize…

信息论 · 计算机科学 2019-05-01 Yuli Sun , Jinxu Tao

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

We propose a supervised machine learning approach for boosting existing signal and image recovery methods and demonstrate its efficacy on example of image reconstruction in computed tomography. Our technique is based on a local nonlinear…

计算机视觉与模式识别 · 计算机科学 2013-12-02 Joseph Shtok , Michael Zibulevsky , Michael Elad

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
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