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This dissertation is devoted to provide advanced nonconvex nonsmooth variational models of (Magnetic Resonance Image) MRI reconstruction, efficient learnable image reconstruction algorithms and parameter training algorithms that improve the…

Optimization and Control · Mathematics 2023-03-06 Wanyu Bian

Dynamic magnetic resonance imaging (MRI) exhibits high correlations in k-space and time. In order to accelerate the dynamic MR imaging and to exploit k-t correlations from highly undersampled data, here we propose a novel deep learning…

Image and Video Processing · Electrical Eng. & Systems 2019-07-23 Chen Qin , Jo Schlemper , Jinming Duan , Gavin Seegoolam , Anthony Price , Joseph Hajnal , Daniel Rueckert

An extension of reproducing kernel Hilbert space (RKHS) theory provides a new framework for modeling functional regression models with functional responses. The approach only presumes a general nonlinear regression structure as opposed to…

Statistics Theory · Mathematics 2008-12-17 Heng Lian

This paper generalizes regularized regression problems in a hyper-reproducing kernel Hilbert space (hyper-RKHS), illustrates its utility for kernel learning and out-of-sample extensions, and proves asymptotic convergence results for the…

Machine Learning · Computer Science 2022-10-20 Fanghui Liu , Lei Shi , Xiaolin Huang , Jie Yang , Johan A. K. Suykens

Magnetic resonance (MR) image acquisition is an inherently prolonged process, whose acceleration by obtaining multiple undersampled images simultaneously through parallel imaging has always been the subject of research. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2021-04-13 Chun-Mei Feng , Zhanyuan Yang , Geng Chen , Yong Xu , Ling Shao

Low-field magnetic resonance imaging (MRI) offers affordable access to diagnostic imaging but faces challenges such as prolonged acquisition times and reduced image quality. Although accelerated imaging via k-space undersampling helps…

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

Parallel imaging is widely used in magnetic resonance imaging as an acceleration technology. Traditional linear reconstruction methods in parallel imaging often suffer from noise amplification. Recently, a non-linear robust…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Hui Tao , Haifeng Wang , Shanshan Wang , Dong Liang , Xiaoling Xu , Qiegen Liu

Parallel imaging has been an essential technique to accelerate MR imaging. Nevertheless, the acceleration rate is still limited due to the ill-condition and challenges associated with the undersampled reconstruction. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2019-08-07 Yanxia Chen , Taohui Xiao , Cheng Li , Qiegen Liu , Shanshan Wang

Magnetic particle imaging (MPI) is an emerging medical imaging modality which offers a unique combination of high temporal and spatial resolution, sensitivity and biocompatibility. For system-matrix (SM) based image reconstruction in MPI, a…

Software Engineering · Computer Science 2024-01-12 Anselm von Gladiss , Amir Shayan Ahmadian , Jan Jürjens

Dynamic Magnetic Resonance Imaging (MRI) is known to be a powerful and reliable technique for the dynamic imaging of internal organs and tissues, making it a leading diagnostic tool. A major difficulty in using MRI in this setting is the…

Image and Video Processing · Electrical Eng. & Systems 2023-03-24 Tamir Shor , Tomer Weiss , Dor Noti , Alex Bronstein

Magnetic Resonance Imaging (MRI) is a widely used medical imaging technique, but its long acquisition time can be a limiting factor in clinical settings. To address this issue, researchers have been exploring ways to reduce the acquisition…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Pu Yang , Bin Dong

In supervised learning using kernel methods, we often encounter a large-scale finite-sum minimization over a reproducing kernel Hilbert space (RKHS). Large-scale finite-sum problems can be solved using efficient variants of Newton method,…

Machine Learning · Computer Science 2022-06-07 Ting-Jui Chang , Shahin Shahrampour

An accelerated model-based information theoretic approach is presented to perform the task of Magnetic Resonance (MR) thermal image reconstruction from a limited number of observed samples on k-space. The key idea of the proposed approach…

Magnetic Resonance Imaging (MRI) is a non-invasive diagnostic and radiotherapy (RT) planning tool, offering detailed insights into the anatomy of the human body. The extensive scan time is stressful for patients, who must remain motionless…

Image and Video Processing · Electrical Eng. & Systems 2023-11-23 Shahinur Alam , Jinsoo Uh , Alexander Dresner , Chia-ho Hua , Khaled Khairy

Time-resolved angiography with interleaved stochastic trajectories (TWIST) has been widely used for dynamic contrast enhanced MRI (DCE-MRI). To achieve highly accelerated acquisitions, TWIST combines the periphery of the k-space data from…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Eunju Cha , Eung Yeop Kim , Jong Chul Ye

Cardiac Magnetic Resonance (CMR) imaging is a non-invasive method for assessing cardiac structure, function, and blood flow. Cine MRI extends this by capturing heart motion, providing detailed insights into cardiac mechanics. To reduce scan…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Donghang Lyu , Marius Staring , Mariya Doneva , Hildo J. Lamb , Nicola Pezzotti

MRI is an inherently slow process, which leads to long scan time for high-resolution imaging. The speed of acquisition can be increased by ignoring parts of the data (undersampling). Consequently, this leads to the degradation of image…

Image and Video Processing · Electrical Eng. & Systems 2022-02-22 Soumick Chatterjee , Mario Breitkopf , Chompunuch Sarasaen , Hadya Yassin , Georg Rose , Andreas Nürnberger , Oliver Speck

Compressed sensing (CS) theory assures us that we can accurately reconstruct magnetic resonance images using fewer k-space measurements than the Nyquist sampling rate requires. In traditional CS-MRI inversion methods, the fact that the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Liyan Sun , Zhiwen Fan , Xinghao Ding , Congbo Cai , Yue Huang , John Paisley

Learning-based synthetic multi-contrast MRI commonly involves deep models trained using high-quality images of source and target contrasts, regardless of whether source and target domain samples are paired or unpaired. This results in…

Image and Video Processing · Electrical Eng. & Systems 2021-05-13 Mahmut Yurt , Salman Ul Hassan Dar , Muzaffer Özbey , Berk Tınaz , Kader Karlı Oğuz , Tolga Çukur

The key to dynamic or multi-contrast magnetic resonance imaging (MRI) reconstruction lies in exploring inter-frame or inter-contrast information. Currently, the unrolled model, an approach combining iterative MRI reconstruction steps with…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Bingyu Xin , Meng Ye , Leon Axel , Dimitris N. Metaxas