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Magnetic Resonance Imaging (MRI) is one of the most dynamic and safe imaging techniques available for clinical applications. However, the rather slow speed of MRI acquisitions limits the patient throughput and potential indi cations.…

Computer Vision and Pattern Recognition · Computer Science 2018-11-14 Risheng Liu , Yuxi Zhang , Shichao Cheng , Xin Fan , Zhongxuan Luo

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Parallel imaging is a commonly used technique to accelerate magnetic resonance imaging (MRI) data acquisition. Mathematically, parallel MRI reconstruction can be formulated as an inverse problem relating the sparsely sampled k-space…

Image and Video Processing · Electrical Eng. & Systems 2023-11-23 Ruimin Feng , Qing Wu , Jie Feng , Huajun She , Chunlei Liu , Yuyao Zhang , Hongjiang Wei

The augmented Lagrangian (AL) method that solves convex optimization problems with linear constraints has drawn more attention recently in imaging applications due to its decomposable structure for composite cost functions and empirical…

Optimization and Control · Mathematics 2015-11-30 Hung Nien , Jeffrey A. Fessler

This paper proposes a novel framework to reconstruct the dynamic magnetic resonance images (DMRI) with motion compensation (MC). Due to the inherent motion effects during DMRI acquisition, reconstruction of DMRI using motion…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Ningning Zhao , Daniel O'Connor , Adrian Basarab , Dan Ruan , Peng Hu , Ke Sheng

Multi-contrast MRI sequences allow for the acquisition of images with varying tissue contrast within a single scan. The resulting multi-contrast images can be used to extract quantitative information on tissue microstructure. To make such…

Image and Video Processing · Electrical Eng. & Systems 2025-09-08 Natascha Niessen , Carolin M. Pirkl , Ana Beatriz Solana , Hannah Eichhorn , Veronika Spieker , Wenqi Huang , Tim Sprenger , Marion I. Menzel , Julia A. Schnabel

Compressed sensing takes advantage of low-dimensional signal structure to reduce sampling requirements far below the Nyquist rate. In magnetic resonance imaging (MRI), this often takes the form of sparsity through wavelet transform, finite…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Jonathan I. Tamir , Frank Ong , Suma Anand , Ekin Karasan , Ke Wang , Michael Lustig

Magnetic Resonance Imaging (MRI) is considered today the golden-standard modality for soft tissues. The long acquisition times, however, make it more prone to motion artifacts as well as contribute to the relatively high costs of this…

Image and Video Processing · Electrical Eng. & Systems 2020-04-07 Tomer Weiss , Sanketh Vedula , Ortal Senouf , Oleg Michailovich , Michael Zibulevsky , Alex Bronstein

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

Augmented Lagrangian method (also called as method of multipliers) is an important and powerful optimization method for lots of smooth or nonsmooth variational problems in modern signal processing, imaging, optimal control and so on.…

Optimization and Control · Mathematics 2021-08-31 Hongpeng Sun

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

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

Magnetic Resonance Imaging (MRI) is a powerful medical imaging modality, but unfortunately suffers from long scan times which, aside from increasing operational costs, can lead to image artifacts due to patient motion. Motion during the…

Image and Video Processing · Electrical Eng. & Systems 2023-10-02 Brett Levac , Sidharth Kumar , Ajil Jalal , Jonathan I. Tamir

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

Cardiovascular magnetic resonance (CMR) imaging is the gold standard for diagnosing several heart diseases due to its non-invasive nature and proper contrast. MR imaging is time-consuming because of signal acquisition and image formation…

Image and Video Processing · Electrical Eng. & Systems 2025-04-29 Kian Anvari Hamedani , Narges Razizadeh , Shahabedin Nabavi , Mohsen Ebrahimi Moghaddam

Parallel imaging is a widely-used technique to accelerate magnetic resonance imaging (MRI). However, current methods still perform poorly in reconstructing artifact-free MRI images from highly undersampled k-space data. Recently, implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-10-20 Ruimin Feng , Qing Wu , Yuyao Zhang , Hongjiang Wei

Magnetic resonance imaging (MRI) is one of the noninvasive imaging modalities that can produce high-quality images. However, the scan procedure is relatively slow, which causes patient discomfort and motion artifacts in images. Accelerating…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Samira Vafay Eslahi , Jian Tao , Jim Ji

Multi-contrast MRI acquisitions of an anatomy enrich the magnitude of information available for diagnosis. Yet, excessive scan times associated with additional contrasts may be a limiting factor. Two mainstream approaches for enhanced scan…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Salman Ul Hassan Dar , Mahmut Yurt , Mohammad Shahdloo , Muhammed Emrullah Ildız , Tolga Çukur

Recent works have demonstrated that deep learning (DL) based compressed sensing (CS) implementation can accelerate Magnetic Resonance (MR) Imaging by reconstructing MR images from sub-sampled k-space data. However, network architectures…

Image and Video Processing · Electrical Eng. & Systems 2023-11-03 Jiangpeng Yan , Shuo Chen , Yongbing Zhang , Xiu Li

In Magnetic Resonance Imaging (MRI) data samples are collected in the spatial frequency domain (k-space), typically by time-consuming line-by-line scanning on a Cartesian grid. Scans can be accelerated by simultaneous acquisition of data…

Medical Physics · Physics 2015-03-24 Vivek Athalye , Michael Lustig , Martin Uecker