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This study aims to accelerate coronary MRI using a novel reconstruction algorithm, called self-consistent robust artificial-neural-networks for k-space interpolation (sRAKI). sRAKI performs iterative parallel imaging reconstruction by…

Image and Video Processing · Electrical Eng. & Systems 2020-07-01 Seyed Amir Hossein Hosseini , Chi Zhang , Sebastian Weingärtner , Steen Moeller , Matthias Stuber , Kâmil Uǧurbil , Mehmet Akçakaya

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

Accelerated multi-coil magnetic resonance imaging reconstruction has seen a substantial recent improvement combining compressed sensing with deep learning. However, most of these methods rely on estimates of the coil sensitivity profiles,…

Signal Processing · Electrical Eng. & Systems 2021-04-13 Marius Arvinte , Sriram Vishwanath , Ahmed H. Tewfik , Jonathan I. Tamir

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…

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

The translation of imaging Mueller polarimetry to clinical practice is often hindered by large footprint and relatively slow acquisition speed of the existing instruments. Using polarization-sensitive camera as a detector may reduce…

Purpose: Real time monitoring of dynamic magnetic fields has recently become a commercially available option for measuring MRI k-space trajectories and magnetic fields induced by eddy currents in real time. However, for accurate image…

Medical Physics · Physics 2022-05-30 Paul I. Dubovan , Corey A. Baron

The multi-reference alignment (MRA) problem involves reconstructing a signal from multiple noisy observations, each transformed by a random group element. In this paper, we focus on the group \(\mathrm{SO}(2)\) of in-plane rotations and…

Numerical Analysis · Mathematics 2025-05-07 Gil Drozatz , Tamir Bendory , Nir Sharon

Image restoration aims to restore high-quality images from degraded counterparts and has seen significant advancements through deep learning techniques. The technique has been widely applied to mobile devices for tasks such as mobile…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Xiangyu Chen , Ruiwen Zhen , Shuai Li , Xiaotian Li , Guanghui Wang

The microstructure analyses of porous media have considerable research value for the study of macroscopic properties. As the premise of conducting these analyses, the accurate reconstruction of microstructure digital model is also an…

Image and Video Processing · Electrical Eng. & Systems 2023-04-26 Zhenchuan Ma , Xiaohai He , Pengcheng Yan , Fan Zhang , Qizhi Teng

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

Image reconstruction in Magnetic Resonance Imaging (MRI) is fundamentally a linear inverse problem, such that the image can be recovered via explicit pseudoinversion of the encoding matrix by solving $\textbf{data} = \textbf{Encode} \times…

Magnetic particle imaging (MPI) offers unparalleled contrast and resolution for tracing magnetic nanoparticles. A common imaging procedure calibrates a system matrix (SM) that is used to reconstruct data from subsequent scans. The ill-posed…

Image and Video Processing · Electrical Eng. & Systems 2023-09-07 Alper Güngör , Baris Askin , Damla Alptekin Soydan , Can Barış Top , Emine Ulku Saritas , Tolga Çukur

In this work, we propose a deep learning approach for parallel magnetic resonance imaging (MRI) reconstruction, termed a variable splitting network (VS-Net), for an efficient, high-quality reconstruction of undersampled multi-coil MR data.…

Image and Video Processing · Electrical Eng. & Systems 2019-07-24 Jinming Duan , Jo Schlemper , Chen Qin , Cheng Ouyang , Wenjia Bai , Carlo Biffi , Ghalib Bello , Ben Statton , Declan P O'Regan , Daniel Rueckert

We present a new algorithm, FRiM (FRactal Iterative Method), aiming at the reconstruction of the optical wavefront from measurements provided by a wavefront sensor. As our application is adaptive optics on extremely large telescopes, our…

Mathematical Physics · Physics 2015-05-18 Eric Thiebaut , Michel Tallon

We introduce a novel framework for an approxi- mate recovery of data matrices which are low-rank on graphs, from sampled measurements. The rows and columns of such matrices belong to the span of the first few eigenvectors of the graphs…

Machine Learning · Computer Science 2016-10-05 Nauman Shahid , Nathanael Perraudin , Gilles Puy , Pierre Vandergheynst

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

Surface reconstruction from magnetic resonance (MR) imaging data is indispensable in medical image analysis and clinical research. A reliable and effective reconstruction tool should: be fast in prediction of accurate well localised and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-22 Katarína Tóthová , Sarah Parisot , Matthew Lee , Esther Puyol-Antón , Andrew King , Marc Pollefeys , Ender Konukoglu

We propose a novel framework for joint magnetic resonance image reconstruction and uncertainty quantification using under-sampled k-space measurements. The problem is formulated as a Bayesian linear inverse problem, where prior…

Image and Video Processing · Electrical Eng. & Systems 2026-03-17 Ahmed Karam Eldaly , Matteo Figini , Daniel C. Alexander

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