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Image reconstruction in Magnetic Resonance Imaging (MRI) is fundamentally a linear inverse problem, such that the image can be recovered via explicit pseudoinversion of the encoding matrix by solving $\textbf{data} = \textbf{Encode} \times…

Magnetic resonance imaging (MRI) is a crucial tool for clinical diagnosis while facing the challenge of long scanning time. To reduce the acquisition time, fast MRI reconstruction aims to restore high-quality images from the undersampled…

Image and Video Processing · Electrical Eng. & Systems 2025-03-14 Yucong Meng , Zhiwei Yang , Minghong Duan , Yonghong Shi , Zhijian Song

Fast and accurate MRI image reconstruction from undersampled data is crucial in clinical practice. Deep learning based reconstruction methods have shown promising advances in recent years. However, recovering fine details from undersampled…

Image and Video Processing · Electrical Eng. & Systems 2022-02-23 Eric Z. Chen , Puyang Wang , Xiao Chen , Terrence Chen , Shanhui Sun

Video Snapshot compressive imaging (SCI) is a promising technique to capture high-speed videos, which transforms the imaging speed from the detector to mask modulating and only needs a single measurement to capture multiple frames. The…

Image and Video Processing · Electrical Eng. & Systems 2022-01-31 Zongliang Wu , Chengshuai Yang , Xiongfei Su , Xin Yuan

Snapshot compressive imaging (SCI) captures high-dimensional data efficiently by compressing it into two-dimensional observations and reconstructing high-dimensional data from two-dimensional observations with various algorithms. The…

Image and Video Processing · Electrical Eng. & Systems 2025-03-06 Takashi Matsuda , Ryo Hayakawa , Youji Iiguni

Near-field radar imaging systems are used in a wide range of applications such as concealed weapon detection and medical diagnosis. In this paper, we consider the problem of reconstructing the three-dimensional (3D) complex-valued…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Okyanus Oral , Figen S. Oktem

Reconstructing high-quality magnetic resonance images (MRI) from undersampled raw data is of great interest from both technical and clinical point of views. To this date, however, it is still a mathematically and computationally challenging…

Numerical Analysis · Mathematics 2021-09-01 T. Schmoderer , A. I Aviles-Rivero , V. Corona , N. Debroux , C-B. Schönlieb

Magnetic resonance imaging (MRI) is widely used for screening, diagnosis, image-guided therapy, and scientific research. A significant advantage of MRI over other imaging modalities such as computed tomography (CT) and nuclear imaging is…

Image and Video Processing · Electrical Eng. & Systems 2020-02-20 Qing Lyu , Hongming Shan , Ge Wang

Magnetic resonance imaging (MRI) is a potent diagnostic tool, but suffers from long examination times. To accelerate the process, modern MRI machines typically utilize multiple coils that acquire sub-sampled data in parallel. Data-driven…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Moritz Erlacher , Martin Zach

Quantitative magnetic resonance imaging (qMRI) allows images to be compared across sites and time points, which is particularly important for assessing long-term conditions or for longitudinal studies. The multiparametric mapping (MPM)…

Signal Processing · Electrical Eng. & Systems 2024-10-24 Klara Baś , Christian Lambert , John Ashburner

Magnetic Resonance Imaging (MRI) is one of the most flexible and powerful medical imaging modalities. This flexibility does however come at a cost; MRI images acquired at different sites and with different parameters exhibit significant…

Magnetic resonance imaging (MRI) is extensively used for diagnosis and image-guided therapeutics. Due to hardware, physical and physiological limitations, acquisition of high-resolution MRI data takes long scan time at high system cost, and…

Medical Physics · Physics 2018-10-17 Qing Lyu , Chenyu You , Hongming Shan , Ge Wang

Plug-and-play priors (PnP) is an image reconstruction framework that uses an image denoiser as an imaging prior. Unlike traditional regularized inversion, PnP does not require the prior to be expressible in the form of a regularization…

Image and Video Processing · Electrical Eng. & Systems 2020-02-27 Xiaojian Xu , Jiaming Liu , Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Magnetic Resonance Imaging (MRI) has become one of the most important tools to screen humans in medicine, virtually every modern hospital is equipped with an NMR tomograph. The potential of NMR in 3D imaging tasks is by far greater, but…

Soft Condensed Matter · Physics 2018-09-14 Ralf Stannarius

Markov Chain Monte Carlo (MCMC) algorithms are standard approaches to solve imaging inverse problems and quantify estimation uncertainties, a key requirement in absence of ground-truth data. To improve estimation quality, Plug-and-Play MCMC…

Methodology · Statistics 2025-11-04 Maxime Bouton , Pierre-Antoine Thouvenin , Audrey Repetti , Pierre Chainais

Following the success of deep learning in a wide range of applications, neural network-based machine learning techniques have received interest as a means of accelerating magnetic resonance imaging (MRI). A number of ideas inspired by deep…

Signal Processing · Electrical Eng. & Systems 2019-04-03 Florian Knoll , Kerstin Hammernik , Chi Zhang , Steen Moeller , Thomas Pock , Daniel K. Sodickson , Mehmet Akcakaya

In parallel magnetic resonance imaging (pMRI) reconstruction without using estimation of coil sensitivity functions, one group of algorithms reconstruct sensitivity encoded images of the coils first followed by the magnitude only image…

Medical Physics · Physics 2013-11-12 Cishen Zhang , Ifat Al Baqee

In plug-and-play (PnP) regularization, the knowledge of the forward model is combined with a powerful denoiser to obtain state-of-the-art image reconstructions. This is typically done by taking a proximal algorithm such as FISTA or ADMM,…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Ruturaj G. Gavaskar , Chirayu D. Athalye , Kunal N. Chaudhury

Physics-driven deep learning methods have emerged as a powerful tool for computational magnetic resonance imaging (MRI) problems, pushing reconstruction performance to new limits. This article provides an overview of the recent developments…

Image and Video Processing · Electrical Eng. & Systems 2022-10-17 Kerstin Hammernik , Thomas Küstner , Burhaneddin Yaman , Zhengnan Huang , Daniel Rueckert , Florian Knoll , Mehmet Akçakaya

Accelerating magnetic resonance image (MRI) reconstruction process is a challenging ill-posed inverse problem due to the excessive under-sampling operation in k-space. In this paper, we propose a recurrent transformer model, namely…

Image and Video Processing · Electrical Eng. & Systems 2022-01-31 Pengfei Guo , Yiqun Mei , Jinyuan Zhou , Shanshan Jiang , Vishal M. Patel
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