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Related papers: Variable Density Compressed Sensing In MRI. Theore…

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Magnetic resonance imaging (MRI) is mainly limited by long scanning time and vulnerable to human tissue motion artifacts, in 3D clinical scenarios. Thus, k-space undersampling is used to accelerate the acquisition of MRI while leading to…

Image and Video Processing · Electrical Eng. & Systems 2022-01-11 Shengke Xue , Ruiliang Bai , Xinyu Jin

Magnetic Resonance Imaging (MRI) plays a vital role in diagnosis, management and monitoring of many diseases. However, it is an inherently slow imaging technique. Over the last 20 years, parallel imaging, temporal encoding and compressed…

Applications such as Magnetic Resonance Tomography acquire imaging data by point samples of their Fourier transform. This raises the question of balancing the efficiency of the sampling strategies with the approximation accuracy of an…

Numerical Analysis · Mathematics 2015-10-20 Gitta Kutyniok , Wang-Q Lim

Magnetic Resonance Imaging (MRI) is a crucial medical imaging technology for the screening and diagnosis of frequently occurring cancers. However image quality may suffer by long acquisition times for MRIs due to patient motion, as well as…

Computer Vision and Pattern Recognition · Computer Science 2015-12-29 Edward Li , Farzad Khalvati , Mohammad Javad Shafiee , Masoom A. Haider , Alexander Wong

Most existing MRI reconstruction methods perform tar-geted reconstruction of the entire MR image without tak-ing specific tissue regions into consideration. This may fail to emphasize the reconstruction accuracy on im-portant tissues for…

Image and Video Processing · Electrical Eng. & Systems 2023-09-06 Yu Guan , Chuanming Yu , Shiyu Lu , Zhuoxu Cui , Dong Liang , Qiegen Liu

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

Undersampling the k-space during MR acquisitions saves time, however results in an ill-posed inversion problem, leading to an infinite set of images as possible solutions. Traditionally, this is tackled as a reconstruction problem by…

Image and Video Processing · Electrical Eng. & Systems 2022-02-10 Kerem C. Tezcan , Neerav Karani , Christian F. Baumgartner , Ender Konukoglu

A central goal of modern magnetic resonance imaging (MRI) is to reduce the time required to produce high-quality images. Efforts have included hardware and software innovations such as parallel imaging, compressed sensing, and deep…

Medical Physics · Physics 2023-03-27 Yihong Xu , Chad W. Farris , Stephan W. Anderson , Xin Zhang , Keith A. Brown

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

Advanced diffusion magnetic resonance imaging (dMRI) techniques, like diffusion spectrum imaging (DSI) and high angular resolution diffusion imaging (HARDI), remain underutilized compared to diffusion tensor imaging because the scan times…

Computer Vision and Pattern Recognition · Computer Science 2017-08-04 Evan Schwab , René Vidal , Nicolas Charon

Magnetic Resonance Imaging (MRI) is highly susceptible to motion artifacts due to the extended acquisition times required for k-space sampling. These artifacts can compromise diagnostic utility, particularly for dynamic imaging. We propose…

Image and Video Processing · Electrical Eng. & Systems 2025-07-04 Frederic Wang , Jonathan I. Tamir

Magnetic resonance imaging (MRI) exam protocols consist of multiple contrast-weighted images of the same anatomy to emphasize different tissue properties. Due to the long acquisition times required to collect fully sampled k-space…

Image and Video Processing · Electrical Eng. & Systems 2023-06-08 Brett Levac , Ajil Jalal , Kannan Ramchandran , Jonathan I. Tamir

Dynamic Magnetic Resonance Imaging (MRI) is a crucial non-invasive method used to capture the movement of internal organs and tissues, making it a key tool for medical diagnosis. However, dynamic MRI faces a major challenge: long…

Image and Video Processing · Electrical Eng. & Systems 2024-09-20 Tamir Shor , Chaim Baskin , Alex Bronstein

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

Parametric images provide insight into the spatial distribution of physiological parameters, but they are often extremely noisy, due to low SNR of tomographic data. Direct estimation from projections allows accurate noise modeling,…

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

In the present note we develop some theoretical results in the theory of anisotropic compressed sensing that allow to take structured sparsity and variable density structured sampling into account. We expect that the obtained results will…

Information Theory · Computer Science 2019-11-01 Philippe Ciuciu , Anna Kazeykina

This paper presents a deep learning method for faster magnetic resonance imaging (MRI) by reducing k-space data with sub-Nyquist sampling strategies and provides a rationale for why the proposed approach works well. Uniform subsampling is…

Machine Learning · Statistics 2019-05-14 Chang Min Hyun , Hwa Pyung Kim , Sung Min Lee , Sungchul Lee , Jin Keun Seo

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

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

Machine Learning · Computer Science 2015-10-26 Saiprasad Ravishankar , Yoram Bresler