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This paper presents novel single and multi-shell sampling schemes for diffusion MRI. In diffusion MRI, it is paramount that the number of samples is as small as possible in order that scan times are practical in a clinical setting. The…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Alice P. Bates , Zubair Khalid , Jason D. McEwen , Rodney A. Kennedy , Alessandro Daducci , Erick J. Canales-Rodríguez

The development of compressed sensing methods for magnetic resonance (MR) image reconstruction led to an explosion of research on models and optimization algorithms for MR imaging (MRI). Roughly 10 years after such methods first appeared in…

Image and Video Processing · Electrical Eng. & Systems 2019-06-14 Jeffrey A Fessler

Proper regularization is crucial in inverse problems to achieve high-quality reconstruction, even with an ill-conditioned measurement system. This is particularly true for three-dimensional photoacoustic tomography, which is computationally…

Optimization and Control · Mathematics 2024-09-26 Chao Wang , Alexandre H. Thiery

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

Optimization and Control · Mathematics 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

Deep neural networks achieve state-of-the-art results for accelerated MRI reconstruction. Most research on deep learning based imaging focuses on improving neural network architectures trained and evaluated on fixed and homogeneous training…

Image and Video Processing · Electrical Eng. & Systems 2025-08-20 Kang Lin , Anselm Krainovic , Kun Wang , Reinhard Heckel

Understanding how the brain encodes external stimuli and how these stimuli can be decoded from the measured brain activities are long-standing and challenging questions in neuroscience. In this paper, we focus on reconstructing the complex…

Neurons and Cognition · Quantitative Biology 2022-10-05 Sikun Lin , Thomas Sprague , Ambuj K Singh

The main disadvantage of Magnetic Resonance Imaging (MRI) are its long scan times and, in consequence, its sensitivity to motion. Exploiting the complementary information from multiple receive coils, parallel imaging is able to recover…

Numerical Analysis · Computer Science 2017-03-07 Martin Uecker

Magnetic Resonance Image (MRI) acquisition is an inherently slow process which has spurred the development of two different acceleration methods: acquiring multiple correlated samples simultaneously (parallel imaging) and acquiring fewer…

Image and Video Processing · Electrical Eng. & Systems 2020-04-01 Anuroop Sriram , Jure Zbontar , Tullie Murrell , C. Lawrence Zitnick , Aaron Defazio , Daniel K. Sodickson

Magnetic resonance imaging (MRI) plays an important role in modern medical diagnostic but suffers from prolonged scan time. Current deep learning methods for undersampled MRI reconstruction exhibit good performance in image de-aliasing…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Min Xiao , Zi Wang , Jiefeng Guo , Xiaobo Qu

Magnetic resonance imaging (MRI) is known to have reduced signal-to-noise ratios (SNR) at lower field strengths, leading to signal degradation when producing a low-field MRI image from a high-field one. Therefore, reconstructing a…

Image and Video Processing · Electrical Eng. & Systems 2023-05-05 Zhuo-Xu Cui , Congcong Liu , Chentao Cao , Yuanyuan Liu , Jing Cheng , Qingyong Zhu , Yanjie Zhu , Haifeng Wang , Dong Liang

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.…

Signal Processing · Electrical Eng. & Systems 2020-11-05 Marcelo V. W. Zibetti , Gabor T. Herman , Ravinder R. Regatte

Following the success of deep learning in a wide range of applications, neural network-based machine-learning techniques have received significant interest for accelerating magnetic resonance imaging (MRI) acquisition and reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2022-03-11 Arghya Pal , Yogesh Rathi

Four-dimensional Flow MRI enables non-invasive, time-resolved imaging of blood flow in three spatial dimensions, offering valuable insights into complex hemodynamics. However, its clinical utility is limited by low spatial resolution and…

Image and Video Processing · Electrical Eng. & Systems 2026-03-17 Aurélien de Turenne , Rémi Cart-Lamy , Denis Kouamé

Flow matching has emerged as a promising generative approach that addresses the lengthy sampling times associated with state-of-the-art diffusion models and enables a more flexible trajectory design, while maintaining high-quality image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Arnela Hadzic , Franz Thaler , Lea Bogensperger , Simon Johannes Joham , Martin Urschler

In parallel magnetic resonance imaging (pMRI), to find a joint solution for the image and coil sensitivity functions is a nonlinear and nonconvex problem. A class of algorithms reconstruct sensitivity encoded images of the coils first…

Medical Physics · Physics 2014-08-05 Cishen Zhang , Ifat-Al Baqee

Magnetic Resonance Imaging (MRI) offers unparalleled soft-tissue contrast but is fundamentally limited by long acquisition times. While deep learning-based accelerated MRI can dramatically shorten scan times, the reconstruction from…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Paul Fischer , Jan Nikolas Morshuis , Thomas Küstner , Christian Baumgartner

Blood flow is sensitive to disease and provides insight into cardiac function, making flow field analysis valuable for diagnosis. However, while safer than radiation-based imaging and more suitable for patients with medical implants,…

Machine Learning · Computer Science 2025-11-04 Viraj Patel , Lisa Kreusser , Katharine Fraser

Modern MRI schemes, which rely on compressed sensing or deep learning algorithms to recover MRI data from undersampled multichannel Fourier measurements, are widely used to reduce scan time. The image quality of these approaches is heavily…

Image and Video Processing · Electrical Eng. & Systems 2020-07-06 Hemant Kumar Aggarwal , Mathews Jacob

In recent years, accelerated MRI reconstruction based on deep learning has led to significant improvements in image quality with impressive results for high acceleration factors. However, from a clinical perspective image quality is only…

Image and Video Processing · Electrical Eng. & Systems 2025-07-02 Jan Nikolas Morshuis , Christian Schlarmann , Thomas Küstner , Christian F. Baumgartner , Matthias Hein

This paper deals with the problem of building fast and reliable 3D reconstruction methods for blood flows for which partial information is given by Doppler ultrasound measurements. This task is of interest in medicine since it could enrich…

Numerical Analysis · Mathematics 2020-11-05 Felipe Galarce , Jean-Frédéric Gerbeau , Damiano Lombardi , Olga Mula