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Related papers: On-the-fly Adaptive $k$-Space Sampling for Linear …

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Single-shot magnetic resonance (MR) imaging acquires the entire k-space data in a single shot and it has various applications in whole-body imaging. However, the long acquisition time for the entire k-space in single-shot fast spin echo…

Image and Video Processing · Electrical Eng. & Systems 2024-09-13 Hemant Kumar Aggarwal , Sudhanya Chatterjee , Dattesh Shanbhag , Uday Patil , K. V. S. Hari

Magnetic Resonance Imaging (MRI) is a powerful imaging technique widely used for visualizing structures within the human body and in other fields such as plant sciences. However, there is a demand to develop fast 3D-MRI reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2025-12-09 Arya Bangun , Zhuo Cao , Alessio Quercia , Hanno Scharr , Elisabeth Pfaehler

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

We describe an acquisition/processing procedure for image reconstruction in dynamic Magnetic Resonance Imaging (MRI). The approach requires sliding window to record a set of trajectories in the k-space, standard regularization to…

Computational Engineering, Finance, and Science · Computer Science 2014-02-12 Cristian Toraci , Gabriele Zaccaria , Stefano Ceriani , David Wilson , Marco Fato , Michele Piana

Accelerated magnetic resonance imaging involves reconstructing fully sampled images from undersampled k-space measurements. Current state-of-the-art approaches have mainly focused on either end-to-end supervised training inspired by…

Image and Video Processing · Electrical Eng. & Systems 2025-02-25 Xinzhe Luo , Yingzhen Li , Chen Qin

The discovery of the theory of compressed sensing brought the realisation that many inverse problems can be solved even when measurements are "incomplete". This is particularly interesting in magnetic resonance imaging (MRI), where long…

Diffusion model-based approaches recently achieved re-markable success in MRI reconstruction, but integration into clinical routine remains challenging due to its time-consuming convergence. This phenomenon is partic-ularly notable when…

Image and Video Processing · Electrical Eng. & Systems 2024-11-07 Yu Guan , Qinrong Cai , Wei Li , Qiuyun Fan , Dong Liang , Qiegen Liu

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

Magnetic Resonance Imaging (MRI) has long been considered to be among "the gold standards" of diagnostic medical imaging. The long acquisition times, however, render MRI prone to motion artifacts, let alone their adverse contribution to the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Tomer Weiss , Ortal Senouf , Sanketh Vedula , Oleg Michailovich , Michael Zibulevsky , Alex Bronstein

Magnetic Resonance Imaging (MRI) scans are time consuming and precarious, since the patients remain still in a confined space for extended periods of time. To reduce scanning time, some experts have experimented with undersampled k spaces,…

Image and Video Processing · Electrical Eng. & Systems 2022-08-25 Kyler Larsen , Arghya Pal , Yogesh Rathi

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

Owing to the inherently dynamic and complex characteristics of cardiac magnetic resonance (CMR) imaging, high-quality and diverse k-space data are rarely available in practice, which in turn hampers robust reconstruction of dynamic cardiac…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Guan Yu , Zhang Jianhua , Liang Dong , Liu Qiegen

The structure of Magnetic Resonance Images (MRI) and especially their compressibility in an appropriate representation basis enables the application of the compressive sensing theory, which guarantees exact image recovery from incomplete…

Statistics Theory · Mathematics 2013-07-26 Nicolas Chauffert , Philippe Ciuciu , Pierre Weiss

Measuring the dynamics and mechanical properties of muscles and joints is important to understand the (patho)physiology of muscles. However, acquiring dynamic time-resolved MRI data is challenging. We have previously developed…

Performing k-space variable density sampling is a popular way of reducing scanning time in Magnetic Resonance Imaging (MRI). Unfortunately, given a sampling trajectory, it is not clear how to traverse it using gradient waveforms. In this…

Optimization and Control · Mathematics 2015-02-25 Nicolas Chauffert , Pierre Weiss , Marianne Boucher , Sébastien Mériaux , Philippe CIUCIU

Purpose: Pushing MRI speed further demands more spatially-encoded information captured per unit time, e.g., by superimposing additional field modulations during oversampled readout. However, this can introduce calibration errors and…

Medical Physics · Physics 2026-01-12 Rui Tian , Martin Uecker , Oliver Holder , Pavel Povolni , Theodor Steffen , Klaus Scheffler

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

Numerical Analysis · Mathematics 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

Magnetic resonance imaging (MRI) is a widely used non-invasive imaging modality. However, a persistent challenge lies in balancing image quality with imaging speed. This trade-off is primarily constrained by k-space measurements, which…

Image and Video Processing · Electrical Eng. & Systems 2025-11-19 Guanxiong Luo , Shoujin Huang , Martin Uecker

Magnetic Resonance Imaging (MRI) is one of the fields that the compressed sensing theory is well utilized to reduce the scan time significantly leading to faster imaging or higher resolution images. It has been shown that a small fraction…

Information Theory · Computer Science 2014-06-03 Cagdas Bilen , Yao Wang , Ivan Selesnick

The prevailing deep learning-based methods of predicting cardiac segmentation involve reconstructed magnetic resonance (MR) images. The heavy dependency of segmentation approaches on image quality significantly limits the acceleration rate…

Image and Video Processing · Electrical Eng. & Systems 2025-07-03 Yundi Zhang , Nil Stolt-Ansó , Jiazhen Pan , Wenqi Huang , Kerstin Hammernik , Daniel Rueckert