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Magnetic resonance imaging (MRI) is highly susceptible to patient motion due to its relatively long acquisition times and the fact that data are acquired sequentially in k-space. Even small patient movements introduce phase inconsistencies…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Antonio Ortiz-Gonzalez , Erich Kobler , Lukas Schletter , Alexander Effland

Multiscale Models are known to be successful in uncovering and analyzing the structures in data at different resolutions. In the current work we propose a feature driven Reproducing Kernel Hilbert space (RKHS), for which the associated…

Machine Learning · Computer Science 2022-08-24 Prashant Shekhar , Abani Patra

Low-field magnetic resonance imaging (MRI) provides affordable access to diagnostic imaging but suffers from prolonged acquisition and limited image quality. Accelerated imaging can be achieved with k-space undersampling, while…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Daniel Tweneboah Anyimadu , Mohammed M. Abdelsamea , Ahmed Karam Eldaly

Quantitative imaging in MRI usually involves acquisition and reconstruction of a series of images at multi-echo time points, which possibly requires more scan time and specific reconstruction technique compared to conventional qualitative…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Jinwei Zhang , Hang Zhang , Chao Li , Pascal Spincemaille , Mert Sabuncu , Thanh D. Nguyen , Yi Wang

Noise characterization in MRI has multiple applications, including quality assurance and protocol optimization. It is particularly important in the presence of parallel imaging acceleration, where the noise distribution can contain severe…

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

Reconstructing high-fidelity magnetic resonance (MR) images from under-sampled k-space is a commonly used strategy to reduce scan time. The posterior sampling of diffusion models based on the real measurement data holds significant promise…

Image and Video Processing · Electrical Eng. & Systems 2024-07-04 Jiayue Chu , Chenhe Du , Xiyue Lin , Yuyao Zhang , Hongjiang Wei

We propose a k-space preconditioning formulation for accelerating the convergence of iterative Magnetic Resonance Imaging (MRI) reconstructions from non-uniformly sampled k-space data. Existing methods either use sampling density…

Medical Physics · Physics 2020-05-13 Frank Ong , Martin Uecker , Michael Lustig

Parallel MRI is a fast imaging technique that enables the acquisition of highly resolved images in space. It relies on $k$-space undersampling and multiple receiver coils with complementary sensitivity profiles in order to reconstruct a…

Magnetic resonance fingerprinting (MRF) quantifies multiple nuclear magnetic resonance parameters in a single and fast acquisition. Standard MRF reconstructs parametric maps using dictionary matching, which lacks scalability due to…

Computer Vision and Pattern Recognition · Computer Science 2019-06-06 Fabian Balsiger , Amaresha Shridhar Konar , Shivaprasad Chikop , Vimal Chandran , Olivier Scheidegger , Sairam Geethanath , Mauricio Reyes

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

The X-ray transform is one of the most fundamental integral operators in image processing and reconstruction. In this article, we revisit the formalism of the X-ray transform by considering it as an operator between Reproducing Kernel…

Functional Analysis · Mathematics 2024-06-26 Ho Yun , Victor M. Panaretos

Purpose: To develop a general framework for Parallel Imaging (PI) with the use of Maxwell regularization for the estimation of the sensitivity maps (SMs) and constrained optimization for the parameter-free image reconstruction. Theory and…

Image and Video Processing · Electrical Eng. & Systems 2020-08-21 Matteo Alessandro Francavilla , Stamatios Lefkimmiatis , Jorge F. Villena , Athanasios G. Polimeridis

We propose a novel adaptive learning algorithm based on iterative orthogonal projections in the Cartesian product of multiple reproducing kernel Hilbert spaces (RKHSs). The task is estimating/tracking nonlinear functions which are supposed…

Machine Learning · Computer Science 2015-10-28 Masahiro Yukawa

Simultaneous Multi-Slice(SMS) is a magnetic resonance imaging (MRI) technique which excites several slices concurrently using multiband radiofrequency pulses to reduce scanning time. However, due to its variable data structure and…

Image and Video Processing · Electrical Eng. & Systems 2025-01-13 Ting Zhao , Zhuoxu Cui , Congcong Liu , Xingyang Wu , Yihang Zhou , Dong Liang , Haifeng Wang

Parallel imaging techniques reduce magnetic resonance imaging (MRI) scan time but image quality degrades as the acceleration factor increases. In clinical practice, conservative acceleration factors are chosen because no mechanism exists to…

Image and Video Processing · Electrical Eng. & Systems 2026-05-26 Ilias I. Giannakopoulos , Lokesh B Gautham Muthukumar , Yvonne W. Lui , Riccardo Lattanzi

The inherent slow imaging speed of Magnetic Resonance Image (MRI) has spurred the development of various acceleration methods, typically through heuristically undersampling the MRI measurement domain known as k-space. Recently, deep neural…

Image and Video Processing · Electrical Eng. & Systems 2022-04-13 Wei Peng , Li Feng , Guoying Zhao , Fang Liu

This paper introduces an efficient multi-linear nonparametric (kernel-based) approximation framework for data regression and imputation, and its application to dynamic magnetic-resonance imaging (dMRI). Data features are assumed to reside…

Signal Processing · Electrical Eng. & Systems 2023-04-07 Duc Thien Nguyen , Konstantinos Slavakis

Magnetic particle imaging (MPI) is a medical imaging modality of recent origin, and it exploits the nonlinear magnetization phenomenon to recover the spatially dependent concentration of the nanoparticles. Currently, image reconstruction in…

Numerical Analysis · Mathematics 2019-04-23 Tobias Kluth , Bangti Jin

Accelerating the acquisition of magnetic resonance imaging (MRI) is a challenging problem, and many works have been proposed to reconstruct images from undersampled k-space data. However, if the main purpose is to extract certain…

Image and Video Processing · Electrical Eng. & Systems 2019-08-22 Chen Qin , Wenjia Bai , Jo Schlemper , Steffen E. Petersen , Stefan K. Piechnik , Stefan Neubauer , Daniel Rueckert
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