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Magnetic resonance imaging (MRI) reconstruction is an active inverse problem which can be addressed by conventional compressed sensing (CS) MRI algorithms that exploit the sparse nature of MRI in an iterative optimization-based manner.…

Computer Vision and Pattern Recognition · Computer Science 2019-06-13 Yuxiang Dai , Peixian Zhuang

A core challenge for signal data recovery is to model the distribution of signal matrix (SM) data based on measured low-quality data in biomedical engineering of magnetic particle imaging (MPI). For acquiring the high-resolution…

Signal Processing · Electrical Eng. & Systems 2025-01-09 Liwen Zhang , Zhaoji Miao , Fan Yang , Gen Shi , Jie He , Yu An , Hui Hui , Jie Tian

Full-waveform inversion (FWI) is a powerful geophysical imaging technique that infers high-resolution subsurface physical parameters by solving a non-convex optimization problem. However, due to limitations in observation, e.g., limited…

Numerical Analysis · Mathematics 2023-11-09 Xiong-Bin Yan , Keke Wu , Zhi-Qin John Xu , Zheng Ma

This paper proposes a novel framework to reconstruct the dynamic magnetic resonance images (DMRI) with motion compensation (MC). Due to the inherent motion effects during DMRI acquisition, reconstruction of DMRI using motion…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Ningning Zhao , Daniel O'Connor , Adrian Basarab , Dan Ruan , Peng Hu , Ke Sheng

The random equivalent sampling (RES) is a well-known sampling technique that can be used to capture a high-speed repetitive waveform with low sampling rate. In this paper, the feasibility of spectrum-blind multiband signal reconstruction…

Instrumentation and Detectors · Physics 2017-01-10 Yijiu Zhao , Li Wang , Houjun Wang , Changjian Liu

Dynamic contrast-enhanced (DCE) MRI is an evolving imaging technique that provides a quantitative measure of pharmacokinetic (PK) parameters in body tissues, in which series of T1-weighted images are collected following the administration…

Computer Vision and Pattern Recognition · Computer Science 2018-06-13 Cagdas Ulas , Giles Tetteh , Michael J. Thrippleton , Paul A. Armitage , Stephen D. Makin , Joanna M. Wardlaw , Mike E. Davies , Bjoern H. Menze

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

Statistical Mechanics · Physics 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Magnetic resonance imaging (MRI) is an essential diagnostic tool that suffers from prolonged scan time. To alleviate this limitation, advanced fast MRI technology attracts extensive research interests. Recent deep learning has shown its…

Image and Video Processing · Electrical Eng. & Systems 2023-12-27 Zi Wang , Haoming Fang , Chen Qian , Boxuan Shi , Lijun Bao , Liuhong Zhu , Jianjun Zhou , Wenping Wei , Jianzhong Lin , Di Guo , Xiaobo Qu

Dynamic Contrast Enhanced-Magnetic Resonance Imaging (DCE-MRI) is widely used to complement ultrasound examinations and x-ray mammography during the early detection and diagnosis of breast cancer. However, images generated by various MRI…

Image and Video Processing · Electrical Eng. & Systems 2021-06-18 Gourav Modanwal , Adithya Vellal , Maciej A. Mazurowski

In this article, we propose a novel regularization method for a class of nonlinear inverse problems that is inspired by an application in quantitative magnetic resonance imaging (qMRI). The latter is a special instance of a general…

Optimization and Control · Mathematics 2025-06-16 Guozhi Dong , Michael Hintermüller , Clemens Sirotenko

The aim of this paper is to discuss potential advances in PET kinetic models and direct reconstruction of kinetic parameters. As a prominent example we focus on a typical task in perfusion imaging and derive a system of…

Optimization and Control · Mathematics 2014-11-20 Louise Reips , Martin Burger , Ralf Engbers

We study the compressed sensing (CS) signal estimation problem where an input signal is measured via a linear matrix multiplication under additive noise. While this setup usually assumes sparsity or compressibility in the input signal…

Information Theory · Computer Science 2014-12-23 Junan Zhu , Dror Baron , Marco F. Duarte

Predictive models allow subject-specific inference when analyzing disease related alterations in neuroimaging data. Given a subject's data, inference can be made at two levels: global, i.e. identifiying condition presence for the subject,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Ender Konukoglu , Ben Glocker

This paper introduces a novel framework and corresponding methods for sampling and reconstruction of sparse signals in shift-invariant (SI) spaces. We reinterpret the random demodulator, a system that acquires sparse bandlimited signals, as…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Tin Vlašić , Damir Seršić

After the prediction that strong enough optical activity may result in negative refraction and negative reflection, more and more artificial chiral metamaterials were designed and fabricated at difference frequency ranges from microwaves to…

Optics · Physics 2010-09-01 Rongkuo Zhao , Thomas Koschny , Costas M. Soukoulis

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

Information Theory · Computer Science 2014-05-02 Armin Eftekhari , Michael B. Wakin

The deployment of multiple reconfigurable intelligent surfaces (RISs) enhances the propagation environment by improving channel quality, but it also complicates channel estimation. Following the conventional wireless communication system…

Information Theory · Computer Science 2024-11-22 Weicong Chen , Yu Han , Chao-Kai Wen , Xiao Li , Shi Jin

Video Snapshot Compressive Imaging (SCI) aims to use a low-speed 2D camera to capture high-speed scene as snapshot compressed measurements, followed by a reconstruction algorithm to reconstruct the high-speed video frames. State-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Miao Cao , Lishun Wang , Huan Wang , Xin Yuan

Suppose that we observe noisy linear measurements of an unknown signal that can be modeled as the sum of two component signals, each of which arises from a nonlinear sub-manifold of a high dimensional ambient space. We introduce SPIN, a…

Information Theory · Computer Science 2012-06-11 Chinmay Hegde , Richard G. Baraniuk

Linear causal models are important tools for modeling causal dependencies and yet in practice, only a subset of the variables can be observed. In this paper, we examine the parameter identifiability of these models by investigating whether…

Machine Learning · Computer Science 2025-02-11 Xinshuai Dong , Ignavier Ng , Biwei Huang , Yuewen Sun , Songyao Jin , Roberto Legaspi , Peter Spirtes , Kun Zhang