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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

Compressed sensing (CS) is a new signal acquisition paradigm that enables the reconstruction of signals and images from a low number of samples. A particularly exciting application of CS is Magnetic Resonance Imaging (MRI), where CS…

Information Theory · Computer Science 2016-08-17 Samuel Birns , Bohyun Kim , Stephanie Ku , Kevin Stangl , Deanna Needell

Compressed sensing applied to magnetic resonance imaging (MRI) allows to reduce the scanning time by enabling images to be reconstructed from highly undersampled data. In this paper, we tackle the problem of designing a sampling mask for an…

Image and Video Processing · Electrical Eng. & Systems 2020-03-17 Thomas Sanchez , Baran Gözcü , Ruud B. van Heeswijk , Armin Eftekhari , Efe Ilıcak , Tolga Çukur , Volkan Cevher

Magnetic resonance imaging (MRI) reconstruction is a fundamental task aimed at recovering high-quality images from undersampled or low-quality MRI data. This process enhances diagnostic accuracy and optimizes clinical applications. In…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Xiaoyan Kui , Zijie Fan , Zexin Ji , Qinsong Li , Chengtao Liu , Weixin Si , Beiji Zou

Magnetic Resonance Imaging (MRI) is a powerful, non-invasive diagnostic tool; however, its clinical applicability is constrained by prolonged acquisition times. Whilst present deep learning-based approaches have demonstrated potential in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-24 Anurag Malyala , Zhenlin Zhang , Chengyan Wang , Chen Qin

Performing magnetic resonance imaging (MRI) reconstruction from under-sampled k-space data can accelerate the procedure to acquire MRI scans and reduce patients' discomfort. The reconstruction problem is usually formulated as a denoising…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Tianqi Xiang , Wenjun Yue , Yiqun Lin , Jiewen Yang , Zhenkun Wang , Xiaomeng Li

Despite its exceptional soft tissue contrast, Magnetic Resonance Imaging (MRI) faces the challenge of long scanning times compared to other modalities like X-ray radiography. Shortening scanning times is crucial in clinical settings, as it…

Machine Learning · Computer Science 2023-12-08 Thomas Sanchez

Over almost five decades of development and improvement, Magnetic Resonance Imaging (MRI) has become a rich and powerful, non-invasive technique in medical imaging, yet not reaching its physical limits. Technical and physiological…

Accelerated MRI shortens acquisition time by subsampling in the measurement $\kappa$-space. Recovering a high-fidelity anatomical image from subsampled measurements requires close cooperation between two components: (1) a sampler that…

Image and Video Processing · Electrical Eng. & Systems 2022-07-28 Tianwei Yin , Zihui Wu , He Sun , Adrian V. Dalca , Yisong Yue , Katherine L. Bouman

Magnetic resonance imaging (MRI) enables non-invasive, high-resolution analysis of muscle structures. However, automated segmentation remains limited by high computational costs, reliance on large training datasets, and reduced accuracy in…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Mengyuan Liu , Jeongkyu Lee

The development of medical science greatly depends on the increased utilization of machine learning algorithms. By incorporating machine learning, the medical imaging field can significantly improve in terms of the speed and accuracy of the…

Image and Video Processing · Electrical Eng. & Systems 2024-09-01 Angona Biswas , MD Abdullah Al Nasim , Md Shahin Ali , Ismail Hossain , Md Azim Ullah , Sajedul Talukder

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

Accelerated Magnetic Resonance Imaging (MRI) requires careful optimization of k-space sampling patterns to balance acquisition speed and image quality. While recent advances in deep learning have shown promise in optimizing Cartesian…

Tissues and Organs · Quantitative Biology 2025-08-15 Ruru Xu , Ilkay Oksuz

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

Information Theory · Computer Science 2016-02-03 Yen-Huan Li , Volkan Cevher

This article presents a novel undersampled magnetic resonance imaging (MRI) technique that leverages the concept of Neural Radiance Field (NeRF). With radial undersampling, the corresponding imaging problem can be reformulated into an image…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Tae Jun Jang , Chang Min Hyun

Magnetic resonance imaging (MRI) nowadays serves as an important modality for diagnostic and therapeutic guidance in clinics. However, the {\it slow acquisition} process, the dynamic deformation of organs, as well as the need for {\it…

Machine Learning · Computer Science 2016-09-15 Morteza Mardani , Georgios B. Giannakis , Kamil Ugurbil

Task-adapted compressed sensing magnetic resonance imaging (CS-MRI) is emerging to address the specific demands of downstream clinical tasks with significantly fewer k-space measurements than required by Nyquist sampling. However, existing…

Machine Learning · Computer Science 2026-04-15 Xinyu Peng , Ziyang Zheng , Wenrui Dai , Duoduo Xue , Shaohui Li , Chenglin Li , Junni Zou , Hongkai Xiong

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

Magnetic Particle Imaging (MPI) is a tomographic imaging technique for determining the spatial distribution of superparamagnetic nanoparticles. Current MPI systems are capable of imaging iron masses over a wide dynamic range of more than…

Multiple sclerosis (MS) is a chronic inflammatory and degenerative disease of the central nervous system, characterized by the appearance of focal lesions in the white and gray matter that topographically correlate with an individual…

Computer Vision and Pattern Recognition · Computer Science 2022-01-31 Yang Ma , Chaoyi Zhang , Mariano Cabezas , Yang Song , Zihao Tang , Dongnan Liu , Weidong Cai , Michael Barnett , Chenyu Wang