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The inversion of linear systems is a fundamental step in many inverse problems. Computational challenges exist when trying to invert large linear systems, where limited computing resources mean that only part of the system can be kept in…

分布式、并行与集群计算 · 计算机科学 2017-09-05 Yushan Gao , Thomas Blumensath

Diffusion model has been successfully applied to MRI reconstruction, including single and multi-coil acquisition of MRI data. Simultaneous multi-slice imaging (SMS), as a method for accelerating MR acquisition, can significantly reduce…

图像与视频处理 · 电气工程与系统科学 2024-08-22 Ting Zhao , Zhuoxu Cui , Sen Jia , Qingyong Zhu , Congcong Liu , Yihang Zhou , Yanjie Zhu , Dong Liang , Haifeng Wang

This work is concerned with applying iterative image reconstruction, based on constrained total-variation minimization, to low-intensity X-ray CT systems that have a high sampling rate. Such systems pose a challenge for iterative image…

医学物理 · 物理学 2016-11-17 Emil Y. Sidky , Rick Chartrand , Yuval Duchin , Christer Ullberg , Xiaochuan Pan

Spectral Computed Tomography (CT) is an emerging technology that enables to estimate the concentration of basis materials within a scanned object by exploiting different photon energy spectra. In this work, we aim at efficiently solving a…

最优化与控制 · 数学 2021-03-26 Alessandro Perelli , Martin S. Andersen

Compressive sensing (CS) based computed tomography (CT) image reconstruction aims at reducing the radiation risk through sparse-view projection data. It is usually challenging to achieve satisfying image quality from incomplete projections.…

图像与视频处理 · 电气工程与系统科学 2022-05-17 Yunyi Li , Yiqiu Jiang , Hengmin Zhang , Jianxun Liu , Xiangling Ding , Guan Gui

The need for fast acquisition and automatic analysis of MRI data is growing in the age of big data. Although compressed sensing magnetic resonance imaging (CS-MRI) has been studied to accelerate MRI by reducing k-space measurements, in…

计算机视觉与模式识别 · 计算机科学 2018-05-08 Liyan Sun , Zhiwen Fan , Yue Huang , Xinghao Ding , John Paisley

This paper presents a well-scaling parallel algorithm for the computation of Morse-Smale (MS) segmentations, including the region separators and region boundaries. The segmentation of the domain into ascending and descending manifolds,…

This paper presents a new Bayesian estimation technique for hidden Potts-Markov random fields with unknown regularisation parameters, with application to fast unsupervised K-class image segmentation. The technique is derived by first…

统计计算 · 统计学 2016-02-03 Marcelo Pereyra , Steve McLaughlin

Practical image segmentation tasks concern images which must be reconstructed from noisy, distorted, and/or incomplete observations. A recent approach for solving such tasks is to perform this reconstruction jointly with the segmentation,…

计算机视觉与模式识别 · 计算机科学 2023-06-21 Jeremy Budd , Yves van Gennip , Jonas Latz , Simone Parisotto , Carola-Bibiane Schönlieb

In the simultaneous Max-Cut problem, we are given $k$ weighted graphs on the same set of $n$ vertices, and the goal is to find a cut of the vertex set so that the minimum, over the $k$ graphs, of the cut value is as large as possible.…

计算复杂性 · 计算机科学 2018-01-16 Amey Bhangale , Subhash Khot , Swastik Kopparty , Sushant Sachdeva , Devanathan Thiruvenkatachari

In the calculation of Positron Emission Tomography (PET) image reconstruction, System Response Matrix (SRM) characterizes the numerical relationship between measurement space and image space. Due to a significant amount of calculation and…

医学物理 · 物理学 2019-09-06 Zhenzhou Deng , Feifan Luo , Anyi Li , Liang Ling , Jiu Xiong , Sikang Xu , Hongsheng Deng , Xin Zhao

Compressed Sensing (CS) significantly speeds up Magnetic Resonance Image (MRI) processing and achieves accurate MRI reconstruction from under-sampled k-space data. According to the current research, there are still several problems with…

图像与视频处理 · 电气工程与系统科学 2023-10-24 Junpeng Tan , Chunmei Qing , Xiangmin Xu

Purpose: A fast data-driven optimization approach, named bias-accelerated subset selection (BASS), is proposed for learning efficacious sampling patterns (SPs) with the purpose of reducing scan time in large-dimensional parallel MRI.…

信号处理 · 电气工程与系统科学 2020-11-05 Marcelo V. W. Zibetti , Gabor T. Herman , Ravinder R. Regatte

Small animal PET scanners require high spatial resolution and good sensitivity. To reconstruct high-resolution images in 3D-PET, iterative methods, such as OSEM, are superior to analytical reconstruction algorithms, although their high…

医学物理 · 物理学 2007-05-23 J. L. Herraiz , S. Espana , J. J. Vaquero , M. Desco , J. M. Udias

This paper investigates the problems large-scale distributed composite convex optimization, with motivations from a broad range of applications, including multi-agent systems, federated learning, smart grids, wireless sensor networks,…

最优化与控制 · 数学 2025-12-16 Maoran Wang , Xingju Cai , Yongxin Chen

We propose a method to restore and to segment simultaneously images degraded by a known point spread function (PSF) and additive white noise. For this purpose, we propose a joint Bayesian estimation framework, where a family of…

数据分析、统计与概率 · 物理学 2015-05-13 Hacheme Ayasso , Ali Mohammad-Djafari

In this work we address the problem of real-time dynamic medical MRI and X Ray CT image reconstruction from parsimonious samples Fourier frequency space for MRI and sinogram tomographic projections for CT. Today the de facto standard for…

图像与视频处理 · 电气工程与系统科学 2019-12-17 Janki Mehta , Angshul Majumdar

Convex regression (CR) problem deals with fitting a convex function to a finite number of observations. It has many applications in various disciplines, such as statistics, economics, operations research, and electrical engineering.…

最优化与控制 · 数学 2014-09-24 Necdet Serhat Aybat , Zi Wang

Sparse-view computed tomography (CT) is known as a widely used approach to reduce radiation dose while accelerating imaging through lowered projection views and correlated calculations. However, its severe imaging noise and streaking…

图像与视频处理 · 电气工程与系统科学 2021-01-20 Yitong Liu , Ken Deng , Chang Sun , Hongwen Yang

MR imaging is a valuable diagnostic tool allowing to non-invasively visualize patient anatomy and pathology with high soft-tissue contrast. However, MRI acquisition is typically time-consuming, leading to patient discomfort and increased…

图像与视频处理 · 电气工程与系统科学 2025-12-23 Jan Nikolas Morshuis , Matthias Hein , Christian F. Baumgartner