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We consider the inverse problem of recovering a continuous-domain function from a finite number of noisy linear measurements. The unknown signal is modeled as the sum of a slowly varying trend and a periodic or quasi-periodic seasonal…

泛函分析 · 数学 2025-05-16 Julien Fageot

Compressive sensing (CS) has been studied and applied in structural health monitoring for wireless data acquisition and transmission, structural modal identification, and spare damage identification. The key issue in CS is finding the…

信号处理 · 电气工程与系统科学 2019-03-25 Yuequan Bao , Zhiyi Tang , Hui Li

In this paper, we investigate the application of continuous sparse signal reconstruction algorithms for the estimation of the ranges and speeds of multiple moving targets using an FMCW radar. Conventionally, to be reconstructed, continuous…

信号处理 · 电气工程与系统科学 2021-02-11 Gilles Monnoyer de Galland , Thomas Feuillen , Luc Vandendorpe , Laurent Jacques

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. In this paper, we propose a data-driven CS framework that learns signal characteristics and individual…

信息论 · 计算机科学 2016-12-20 Kai Xu , Yuhao Wang , Yixing Li , Fengbo Ren

Compressive Sensing (CS) theory asserts that sparse signal reconstruction is possible from a small number of linear measurements. Although CS enables low-cost linear sampling, it requires non-linear and costly reconstruction. Recent…

机器学习 · 计算机科学 2018-10-16 Aysen Degerli , Sinem Aslan , Mehmet Yamac , Bulent Sankur , Moncef Gabbouj

Compressed sensing (CS) leverages the sparsity prior to provide the foundation for fast magnetic resonance imaging (fastMRI). However, iterative solvers for ill-posed problems hinder their adaption to time-critical applications. Moreover,…

图像与视频处理 · 电气工程与系统科学 2021-03-16 Jingshuai Liu , Mehrdad Yaghoobi

Low-dose CT (LDCT) imaging attracted a considerable interest for the reduction of the object's exposure to X-ray radiation. In recent years, supervised deep learning (DL) has been extensively studied for LDCT image reconstruction, which…

图像与视频处理 · 电气工程与系统科学 2022-10-06 Qiaoqiao Ding , Hui Ji , Yuhui Quan , Xiaoqun Zhang

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

数值分析 · 数学 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

In recent years, tensor decomposition-based approaches for hyperspectral anomaly detection (HAD) have gained significant attention in the field of remote sensing. However, existing methods often fail to fully leverage both the global…

计算机视觉与模式识别 · 计算机科学 2025-10-21 Wenjin Qin , Hailin Wang , Hao Shu , Feng Zhang , Jianjun Wang , Xiangyong Cao , Xi-Le Zhao , Gemine Vivone

Advanced diffusion magnetic resonance imaging (dMRI) techniques, like diffusion spectrum imaging (DSI) and high angular resolution diffusion imaging (HARDI), remain underutilized compared to diffusion tensor imaging because the scan times…

计算机视觉与模式识别 · 计算机科学 2017-08-04 Evan Schwab , René Vidal , Nicolas Charon

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…

图像与视频处理 · 电气工程与系统科学 2022-01-31 Pengfei Guo , Yiqun Mei , Jinyuan Zhou , Shanshan Jiang , Vishal M. Patel

Super-resolution fluorescence microscopy overcomes blurring arising from light diffraction, allowing the reconstruction of fine scale details in biological structures. Standard methods come at the expense of long acquisition time and/or…

最优化与控制 · 数学 2021-10-12 Bastien Laville , Laure Blanc-Féraud , Gilles Aubert

Recovering jointly sparse signals in the multiple measurement vectors (MMV) setting is a fundamental problem in machine learning, but traditional methods often require careful parameter tuning or prior knowledge of the sparsity of the…

机器学习 · 计算机科学 2026-02-02 Lakshmi Jayalal , Sheetal Kalyani

We propose an adaptive regularization scheme in a variational framework where a convex composite energy functional is optimized. We consider a number of imaging problems including denoising, segmentation and motion estimation, which are…

计算机视觉与模式识别 · 计算机科学 2017-03-01 Byung-Woo Hong , Ja-Keoung Koo , Hendrik Dirks , Martin Burger

This paper introduces a novel variational approach for image compression motivated by recent PDE-based approaches combining edge detection and Laplacian inpainting. The essential feature is to encode the image via a sparse vector field,…

最优化与控制 · 数学 2015-03-09 Eva-Maria Brinkmann , Martin Burger , Joana Grah

The reconstruction of Faraday depth structure from incomplete spectral polarization radio measurements using the RM Synthesis technique is an under-constrained problem requiring additional regularisation. In this paper we present cs-romer:…

天体物理仪器与方法 · 物理学 2022-10-27 Miguel Cárcamo , Anna M. M. Scaife , Emma L. Alexander , J. Patrick Leahy

Performing magnetic resonance imaging (MRI) reconstruction from under-sampled k-space data can accelerate the procedure to acquire MRI scans and reduce patients' discomfort. The reconstruction problem is usually formulated as a denoising…

图像与视频处理 · 电气工程与系统科学 2023-12-11 Tianqi Xiang , Wenjun Yue , Yiqun Lin , Jiewen Yang , Zhenkun Wang , Xiaomeng Li

To reduce scanning time and/or improve spatial/temporal resolution in some MRI applications, parallel MRI (pMRI) acquisition techniques with multiple coils acquisition have emerged since the early 1990s as powerful 3D imaging methods that…

最优化与控制 · 数学 2009-09-03 Lotfi Chaari , Jean-Christophe Pesquet , Philippe Ciuciu , Amel Benazza-Benyahia

The development of compressed sensing methods for magnetic resonance (MR) image reconstruction led to an explosion of research on models and optimization algorithms for MR imaging (MRI). Roughly 10 years after such methods first appeared in…

图像与视频处理 · 电气工程与系统科学 2019-06-14 Jeffrey A Fessler

This paper is concerned with the fundamental problem of estimating chirp parameters from a mixture of linear chirp signals. Unlike most previous methods, which solve the problem by discretizing the parameter space and then estimating the…

信号处理 · 电气工程与系统科学 2025-03-20 Dehui Yang , Feng Xi