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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

In parallel magnetic resonance imaging (pMRI) reconstruction without using estimation of coil sensitivity functions, one group of algorithms reconstruct sensitivity encoded images of the coils first followed by the magnitude only image…

Medical Physics · Physics 2013-11-12 Cishen Zhang , Ifat Al Baqee

Computed tomography and magnetic resonance imaging are two widely used clinical imaging modalities for non-invasive diagnosis. However, both of these modalities come with certain problems. CT uses harmful ionising radiation, and MRI suffers…

Image and Video Processing · Electrical Eng. & Systems 2023-03-03 Philipp Ernst , Soumick Chatterjee , Georg Rose , Oliver Speck , Andreas Nürnberger

Physics-driven deep learning (PD-DL) models have proven to be a powerful approach for improved reconstruction of rapid MRI scans. In order to train these models in scenarios where fully-sampled reference data is unavailable, self-supervised…

Image and Video Processing · Electrical Eng. & Systems 2025-09-08 Yaşar Utku Alçalar , Mehmet Akçakaya

The nuclear norm minimization (NNM) is commonly used to approximate the matrix rank by shrinking all singular values equally. However, the singular values have clear physical meanings in many practical problems, and NNM may not be able to…

Computer Vision and Pattern Recognition · Computer Science 2019-05-13 Zhiyuan Zha , Bihan Wen , Jiachao Zhang , Jiantao Zhou , Ce Zhu

Purpose: To develop a self-supervised scan-specific deep learning framework for reconstructing accelerated multiparametric quantitative MRI (qMRI). Methods: We propose REFINE-MORE (REference-Free Implicit NEural representation with MOdel…

Medical Physics · Physics 2025-08-05 Ruimin Feng , Albert Jang , Xingxin He , Fang Liu

Hyperspectral image super-resolution (HSI-SR) has emerged as a challenging yet critical problem in remote sensing. Existing approaches primarily focus on regularization techniques that leverage low-rankness and local smoothness priors.…

Numerical Analysis · Mathematics 2026-05-13 Jun Zhang , Chao Yi , Mingxi Ma , Mengling He , Chao Wang

Magnetic Resonance Imaging (MRI) has long been considered to be among "the gold standards" of diagnostic medical imaging. The long acquisition times, however, render MRI prone to motion artifacts, let alone their adverse contribution to the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Tomer Weiss , Ortal Senouf , Sanketh Vedula , Oleg Michailovich , Michael Zibulevsky , Alex Bronstein

Non-Local Total Variation (NLTV) has emerged as a useful tool in variational methods for image recovery problems. In this paper, we extend the NLTV-based regularization to multicomponent images by taking advantage of the Structure Tensor…

Computer Vision and Pattern Recognition · Computer Science 2014-12-11 Giovanni Chierchia , Nelly Pustelnik , Beatrice Pesquet-Popescu , Jean-Christophe Pesquet

Spectral computed tomography (CT) reconstructs material-dependent attenuation images with the projections of multiple narrow energy windows, it is meaningful for material identification and decomposition. Unfortunately, the multi-energy…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Weiwen Wu , Fenglin Liu , Yanbo Zhang , Qian Wang , Hengyong Yu

Neuroimaging studies based on magnetic resonance imaging (MRI) typically employ rigorous forms of preprocessing. Images are spatially normalized to a standard template using linear and non-linear transformations. Thus, one can assume that a…

Computer Vision and Pattern Recognition · Computer Science 2019-11-15 Fabian Eitel , Jan Philipp Albrecht , Friedemann Paul , Kerstin Ritter

Compressed Sensing MRI (CS-MRI) aims at reconstructing de-aliased images from sub-Nyquist sampling k-space data to accelerate MR Imaging, thus presenting two basic issues, i.e., where to sample and how to reconstruct. To deal with both…

Image and Video Processing · Electrical Eng. & Systems 2022-07-27 Jingfen Xie , Jian Zhang , Yongbing Zhang , Xiangyang Ji

Unsupervised learning-based medical image registration approaches have witnessed rapid development in recent years. We propose to revisit a commonly ignored while simple and well-established principle: recursive refinement of deformation…

Image and Video Processing · Electrical Eng. & Systems 2021-06-15 Xinzi He , Jia Guo , Xuzhe Zhang , Hanwen Bi , Sarah Gerard , David Kaczka , Amin Motahari , Eric Hoffman , Joseph Reinhardt , R. Graham Barr , Elsa Angelini , Andrew Laine

Nonlocal self-similarity (NSS) is an important prior that has been successfully applied in multi-dimensional data processing tasks, e.g., image and video recovery. However, existing NSS-based methods are solely suitable for meshgrid data…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Yisi Luo , Xile Zhao , Deyu Meng

Purpose: The expanded encoding model incorporates spatially- and time-varying field perturbations for correction during reconstruction. So far, these reconstructions have used the conjugate gradient method with early stopping used as…

Encoding input coordinates with sinusoidal functions into multilayer perceptrons (MLPs) has proven effective for implicit neural representations (INRs) of low-dimensional signals, enabling the modeling of high-frequency details. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Diana Aldana , João Paulo Lima , Daniel Csillag , Daniel Perazzo , Haoan Feng , Luiz Velho , Tiago Novello

Recently, low-rank matrix recovery theory has been emerging as a significant progress for various image processing problems. Meanwhile, the group sparse coding (GSC) theory has led to great successes in image restoration (IR) problem with…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Yunyi Li , Guan Gui , Xiefeng Cheng

The explicit low-rank regularization, e.g., nuclear norm regularization, has been widely used in imaging sciences. However, it has been found that implicit regularization outperforms explicit ones in various image processing tasks. Another…

Machine Learning · Computer Science 2023-03-30 Zhemin Li , Tao Sun , Hongxia Wang , Bao Wang

We propose a new fast algorithm for simultaneous recovery of the coil sensitivities and of the magnetization image from incomplete Fourier measurements in parallel MRI. Our approach is based on a parameter model for the coil sensitivities…

Numerical Analysis · Mathematics 2024-10-30 Gerlind Plonka , Yannick Riebe

Magnetic Resonance Imaging (MRI) is a widely utilized diagnostic tool in clinical settings, but its application is limited by the relatively long acquisition time. As a result, fast MRI reconstruction has become a significant area of…

Image and Video Processing · Electrical Eng. & Systems 2025-06-09 Lixuan Rao , Xinlin Zhang , Yiman Huang , Tao Tan , Tong Tong
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