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We introduce a fast iterative non-local shrinkage algorithm to recover MRI data from undersampled Fourier measurements. This approach is enabled by the reformulation of current non-local schemes as an alternating algorithm to minimize a…

Computer Vision and Pattern Recognition · Computer Science 2014-05-22 Yasir Q. Moshin , Greg Ongie , Mathews Jacob

The quality of numerical reconstructions for unknown parameters in inverse problems depends fundamentally on the selection of experimental data. To ensure a robust reconstruction, it is crucial to select data that are sensitive to the…

Numerical Analysis · Mathematics 2026-04-14 Kathrin Hellmuth , Christian Klingenberg , Qin Li

Reconstructing high-quality images from substantially undersampled k-space data for accelerated MRI presents a challenging ill-posed inverse problem. While supervised deep learning has revolutionized this field, it relies heavily on large…

Image and Video Processing · Electrical Eng. & Systems 2025-12-22 Xinzhe Luo , Yingzhen Li , Chen Qin

Accelerating magnetic resonance image (MRI) reconstruction process is a challenging ill-posed inverse problem due to the excessive under-sampling operation in k-space. In this paper, we propose a recurrent transformer model, namely…

Image and Video Processing · Electrical Eng. & Systems 2022-01-31 Pengfei Guo , Yiqun Mei , Jinyuan Zhou , Shanshan Jiang , Vishal M. Patel

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…

Tensor Ring (TR) decomposition is a powerful tool for high-order data modeling, but is inherently restricted to discrete forms defined on fixed meshgrids. In this work, we propose a TR functional decomposition for both meshgrid and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Yangyang Xu , Junbo Ke , You-Wei Wen , Chao Wang

Existing pyramid registration networks may accumulate anatomical misalignments and lack an effective mechanism to dynamically determine the number of optimization iterations under varying deformation requirements across images, leading to…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Heming Wu , Di Wang , Tai Ma , Peng Zhao , Yubin Xiao , Zhongke Wu , Xing-Ce Wang , Xuan Wu , You Zhou

It has been recently shown that incorporating priori knowledge significantly improves the performance of basic compressive sensing based approaches. We have managed to successfully exploit this idea for recovering a matrix as a summation of…

Computer Vision and Pattern Recognition · Computer Science 2014-11-25 Dornoosh Zonoobi , Shahrooz Faghih Roohi , Ashraf A. Kassim

In spite of its extensive adaptation in almost every medical diagnostic and examinatorial application, Magnetic Resonance Imaging (MRI) is still a slow imaging modality which limits its use for dynamic imaging. In recent years, Parallel…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 George Yiasemis , Chaoping Zhang , Clara I. Sánchez , Jan-Jakob Sonke , Jonas Teuwen

Purpose: A fast data-driven optimization approach, named bias-accelerated subset selection (BASS), is proposed for learning efficacious sampling patterns (SPs) with the purpose of reducing scan time in large-dimensional parallel MRI.…

Signal Processing · Electrical Eng. & Systems 2020-11-05 Marcelo V. W. Zibetti , Gabor T. Herman , Ravinder R. Regatte

Compressed Sensing MRI reconstructs images of the body's internal anatomy from undersampled measurements, thereby reducing scan time. Recently, deep learning has shown great potential for reconstructing high-fidelity images from highly…

Image and Video Processing · Electrical Eng. & Systems 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar

Current 3D photoacoustic tomography (PAT) systems offer either high image quality or high frame rates but are not able to deliver high spatial and temporal resolution simultaneously, which limits their ability to image dynamic processes in…

Numerical Analysis · Mathematics 2016-12-21 Simon Arridge , Paul Beard , Marta Betcke , Ben Cox , Nam Huynh , Felix Lucka , Olumide Ogunlade , Edward Zhang

This work is to develop a general framework, namely analytical iterative reconstruction (AIR) method, to incorporate analytical reconstruction (AR) method into iterative reconstruction (IR) method, for enhanced CT image quality and…

Medical Physics · Physics 2016-10-12 Hao Gao

Reconstructing continuous signals from a small number of discrete samples is a fundamental problem across science and engineering. In practice, we are often interested in signals with 'simple' Fourier structure, such as bandlimited,…

Data Structures and Algorithms · Computer Science 2018-12-24 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

Deep unfolding networks (DUN) have emerged as a popular iterative framework for accelerated magnetic resonance imaging (MRI) reconstruction. However, conventional DUN aims to reconstruct all the missing information within the entire null…

Image and Video Processing · Electrical Eng. & Systems 2024-03-18 Chong Wang , Lanqing Guo , Yufei Wang , Hao Cheng , Yi Yu , Bihan Wen

A number of reconstruction methods have been proposed recently for accelerated functional Magnetic Resonance Imaging (fMRI) data collection. However, existing methods suffer with the challenge of greater artifacts at high acceleration…

Medical Physics · Physics 2017-11-03 Priya Aggarwal , Anubha Gupta

High resolution images can be acquired using a non-regular sampling sensor which consists of an underlying low resolution sensor that is covered with a non-regular sampling mask. The reconstructed high resolution image is then obtained…

Image and Video Processing · Electrical Eng. & Systems 2022-04-08 Markus Jonscher , Karina Jaskolka , Jürgen Seiler , André Kaup

We propose a novel unsupervised deep-learning-based algorithm for dynamic magnetic resonance imaging (MRI) reconstruction. Dynamic MRI requires rapid data acquisition for the study of moving organs such as the heart. Existing reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Jaejun Yoo , Kyong Hwan Jin , Harshit Gupta , Jerome Yerly , Matthias Stuber , Michael Unser

Synthetic aperture radar (SAR) imaging traditionally requires precise knowledge of system parameters to implement focusing algorithms that transform raw data into high-resolution images. These algorithms require knowledge of SAR system…

Signal Processing · Electrical Eng. & Systems 2025-03-19 Huizhang Yang , Zhong Liu , Jian Yang

Certain applications such as Magnetic Resonance Imaging (MRI) require the reconstruction of functions from Fourier spectral data. When the underlying functions are piecewise-smooth, standard Fourier approximation methods suffer from the…

Numerical Analysis · Computer Science 2016-10-13 Jade Larriva-Latt , Angela Morrison , Alison Radgowski , Joseph Tobin , Aditya Viswanathan , Mark Iwen