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Recently, low-rank matrix recovery theory has been emerging as a significant progress for various image processing problems. Meanwhile, the group sparse coding (GSC) theory has led to great successes in image restoration (IR) problem with…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Yunyi Li , Guan Gui , Xiefeng Cheng

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…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Junpeng Tan , Chunmei Qing , Xiangmin Xu

In clinical practice, multi-modal magnetic resonance imaging (MRI) with different contrasts is usually acquired in a single study to assess different properties of the same region of interest in the human body. The whole acquisition process…

Image and Video Processing · Electrical Eng. & Systems 2022-04-05 Kai Xuan , Lei Xiang , Xiaoqian Huang , Lichi Zhang , Shu Liao , Dinggang Shen , Qian Wang

We address the problem of reconstructing high quality images from undersampled MRI data. This is a challenging task due to the highly ill-posed nature of the problem. In particular, in dynamic MRI scans, the interaction between the target…

Computer Vision and Pattern Recognition · Computer Science 2020-04-10 Angelica I. Aviles-Rivero , Noémie Debroux , Guy Williams , Martin J. Graves , Carola-Bibiane Schonlieb

In this survey, we provide a detailed review of recent advances in the recovery of continuous domain multidimensional signals from their few non-uniform (multichannel) measurements using structured low-rank matrix completion formulation.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Mathews Jacob , Merry P. Mani , Jong Chul Ye

Recently, the low rank and sparse (LRS) matrix decomposition has been introduced as an effective mean to solve the multi-view registration. It views each available relative motion as a block element to reconstruct one matrix so as to…

Computer Vision and Pattern Recognition · Computer Science 2018-04-06 Congcong Jin , Jihua Zhu , Yaochen Li , Shanmin Pang , Lei Chen , Jun Wang

Data-driven approaches recently achieved remarkable success in magnetic resonance imaging (MRI) reconstruction, but integration into clinical routine remains challenging due to a lack of generalizability and interpretability. In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2023-10-20 Martin Zach , Florian Knoll , Thomas Pock

Low-field magnetic resonance imaging (MRI) offers a cost-effective alternative for medical imaging in resource-limited settings. However, its widespread adoption is hindered by two key challenges: prolonged scan times and reduced image…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Daniel Tweneboah Anyimadu , Mohammed Abdalla , Mohammed M. Abdelsamea , Ahmed Karam Eldaly

Deep learning methods driven by the low-rank regularization have achieved attractive performance in dynamic magnetic resonance (MR) imaging. However, most of these methods represent low-rank prior by hand-crafted nuclear norm, which cannot…

Image and Video Processing · Electrical Eng. & Systems 2022-08-11 Chentao Cao , Zhuo-Xu Cui , Qingyong Zhu , Congcong Liu , Dong Liang , Yanjie Zhu

Dynamic MRI enables a range of clinical applications, including cardiac function assessment, organ motion tracking, and radiotherapy guidance. However, fully sampling the dynamic k-space data is often infeasible due to time constraints and…

Image and Video Processing · Electrical Eng. & Systems 2025-03-24 George Yiasemis , Jan-Jakob Sonke , Jonas Teuwen

Magnetic Resonance Imaging (MRI) is a critical tool in modern medical diagnostics, yet its prolonged acquisition time remains a critical limitation, especially in time-sensitive clinical scenarios. While undersampling strategies can…

Image and Video Processing · Electrical Eng. & Systems 2025-10-09 Mohammed Alsubaie , Wenxi Liu , Linxia Gu , Ovidiu C. Andronesi , Sirani M. Perera , Xianqi Li

The low-rank matrix recovery (LMR) is a rank minimization problem subject to linear equality constraints, and it arises in many fields such as signal and image processing, statistics, computer vision, system identification and control. This…

Information Theory · Computer Science 2011-06-17 Lingchen Kong , Levent Tunçel , Naihua Xiu

Recent research on problem formulations based on decomposition into low-rank plus sparse matrices shows a suitable framework to separate moving objects from the background. The most representative problem formulation is the Robust Principal…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Thierry Bouwmans , Andrews Sobral , Sajid Javed , Soon Ki Jung , El-Hadi Zahzah

The tensor low-rank prior has attracted considerable attention in dynamic MR reconstruction. Tensor low-rank methods preserve the inherent high-dimensional structure of data, allowing for improved extraction and utilization of intrinsic…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Yinghao Zhang , Peng Li , Yue Hu

Low-Rank Matrix Recovery (LRMR) has recently been applied to saliency detection by decomposing image features into a low-rank component associated with background and a sparse component associated with visual salient regions. Despite its…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Qi Zheng , Shujian Yu , Xinge You , Qinmu Peng

Recent works on adaptive sparse and on low-rank signal modeling have demonstrated their usefulness in various image / video processing applications. Patch-based methods exploit local patch sparsity, whereas other works apply low-rankness of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Bihan Wen , Yanjun Li , Yoram Bresler

Magnetic Resonance (MR) Fingerprinting is an emerging multi-parametric quantitative MR imaging technique, for which image reconstruction methods utilizing low-rank and subspace constraints have achieved state-of-the-art performance.…

Image and Video Processing · Electrical Eng. & Systems 2023-05-26 Hengfa Lu , Huihui Ye , Lawrence L. Wald , Bo Zhao

Detecting moving objects from ground-based videos is commonly achieved by using background subtraction techniques. Low-rank matrix decomposition inspires a set of state-of-the-art approaches for this task. It is integrated with structured…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Junpeng Zhang , Xiuping Jia , Jiankun Hu

In spite of its extensive adaptation in almost every medical diagnostic and examinatorial application, Magnetic Resonance Imaging (MRI) is still a slow imaging modality which limits its use for dynamic imaging. In recent years, Parallel…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 George Yiasemis , Chaoping Zhang , Clara I. Sánchez , Jan-Jakob Sonke , Jonas Teuwen

Dynamic imaging is a beneficial tool for interventions to assess physiological changes. Nonetheless during dynamic MRI, while achieving a high temporal resolution, the spatial resolution is compromised. To overcome this spatio-temporal…

Image and Video Processing · Electrical Eng. & Systems 2021-10-26 Chompunuch Sarasaen , Soumick Chatterjee , Mario Breitkopf , Georg Rose , Andreas Nürnberger , Oliver Speck