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The advancement of sensing technology has driven the widespread application of high-dimensional data. However, issues such as missing entries during acquisition and transmission negatively impact the accuracy of subsequent tasks. Tensor…

图像与视频处理 · 电气工程与系统科学 2025-04-09 Jie Yang , Chang Su , Yuhan Zhang , Jianjun Zhu , Jianli Wang

Compressed Sensing (CS) is an appealing framework for applications such as Magnetic Resonance Imaging (MRI). However, up-to-date, the sensing schemes suggested by CS theories are made of random isolated measurements, which are usually…

信息论 · 计算机科学 2016-06-14 Claire Boyer , Jérémie Bigot , Pierre Weiss

In compressed sensing one measures sparse signals directly in a compressed form via a linear transform and then reconstructs the original signal. However, it is often the case that the linear transform itself is known only approximately, a…

信息论 · 计算机科学 2013-11-13 Florent Krzakala , Marc Mézard , Lenka Zdeborová

In portable, 3-D, or ultra-fast ultrasound (US) imaging systems, there is an increasing demand to reconstruct high quality images from limited number of data. However, the existing solutions require either hardware changes or…

计算机视觉与模式识别 · 计算机科学 2017-10-31 Yeo Hun Yoon , Jong Chul Ye

We demonstrate through numerical simulations with real data the feasibility of using compressive sensing techniques for the acquisition of spectro-polarimetric data. This allows us to combine the measurement and the compression process into…

天体物理仪器与方法 · 物理学 2015-05-14 A. Asensio Ramos , A. Lopez Ariste

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

信息论 · 计算机科学 2019-04-30 Shirin Jalali , Xin Yuan

This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymptotic sparsity and multilevel sampling, can be utilised to better understand underlying phenomena in practical compressed sensing and…

泛函分析 · 数学 2014-07-08 Bogdan Roman , Anders Hansen , Ben Adcock

We consider the problem of 3D seismic inversion from pre-stack data using a very small number of seismic sources. The proposed solution is based on a combination of compressed-sensing and machine learning frameworks, known as…

地球物理 · 物理学 2023-11-02 Maayan Gelboim , Amir Adler , Yen Sun , Mauricio Araya-Polo

Sparse-View Computed Tomography (SVCT) offers low-dose and fast imaging but suffers from severe artifacts. Optimizing the sampling strategy is an essential approach to improving the imaging quality of SVCT. However, current methods…

图像与视频处理 · 电气工程与系统科学 2024-09-04 Liutao Yang , Jiahao Huang , Yingying Fang , Angelica I Aviles-Rivero , Carola-Bibiane Schonlieb , Daoqiang Zhang , Guang Yang

Image recovery from compressive measurements requires a signal prior for the images being reconstructed. Recent work has explored the use of deep generative models with low latent dimension as signal priors for such problems. However, their…

计算机视觉与模式识别 · 计算机科学 2021-03-02 Niklas Smedemark-Margulies , Jung Yeon Park , Max Daniels , Rose Yu , Jan-Willem van de Meent , Paul Hand

A compressed sensing method consists of a rectangular measurement matrix, $M \in \mathbbm{R}^{m \times N}$ with $m \ll N$, together with an associated recovery algorithm, $\mathcal{A}: \mathbbm{R}^m \rightarrow \mathbbm{R}^N$. Compressed…

信息论 · 计算机科学 2013-02-26 M. A. Iwen

Compressed sensing is an image reconstruction technique to achieve high-quality results from limited amount of data. In order to achieve this, it utilizes prior knowledge about the samples that shall be reconstructed. Focusing on image…

Recently, deep learning-based compressed sensing (CS) has achieved great success in reducing the sampling and computational cost of sensing systems and improving the reconstruction quality. These approaches, however, largely overlook the…

计算机视觉与模式识别 · 计算机科学 2023-04-25 Yu Zhou , Yu Chen , Xiao Zhang , Pan Lai , Lei Huang , Jianmin Jiang

Compressed sensing (CS) is a signal processing framework for efficiently reconstructing a signal from a small number of measurements, obtained by linear projections of the signal. In this paper we present an end-to-end deep learning…

图像与视频处理 · 电气工程与系统科学 2019-06-26 Yochai Zur , Amir Adler

We present a framework for the end-to-end optimization of metasurface imaging systems that reconstruct targets using compressed sensing, a technique for solving underdetermined imaging problems when the target object exhibits sparsity (i.e.…

图像与视频处理 · 电气工程与系统科学 2024-06-28 Gaurav Arya , William F. Li , Charles Roques-Carmes , Marin Soljačić , Steven G. Johnson , Zin Lin

The widespread adoption of mobile communication technology has led to a severe shortage of spectrum resources, driving the development of cognitive radio technologies aimed at improving spectrum utilization, with spectrum sensing being the…

信号处理 · 电气工程与系统科学 2025-04-11 Shilian Zheng , Zhihao Ye , Luxin Zhang , Keqiang Yue , Zhijin Zhao

An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its structure. This paper is about understanding this phenomenon,…

泛函分析 · 数学 2014-03-28 Ben Adcock , Anders C. Hansen , Bogdan Roman

Photoacoustic (PA) computed tomography (PACT) shows great potentials in various preclinical and clinical applications. A great number of measurements are the premise that obtains a high-quality image, which implies a low imaging rate or a…

计算机视觉与模式识别 · 计算机科学 2021-06-01 Hengrong Lan , Juze Zhang , Changchun Yang , Fei Gao

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

数值分析 · 数学 2009-05-28 Deanna Needell

Hyperspectral imaging is one of the most promising techniques for intraoperative tissue characterisation. Snapshot mosaic cameras, which can capture hyperspectral data in a single exposure, have the potential to make a real-time…

图像与视频处理 · 电气工程与系统科学 2021-12-02 Peichao Li , Michael Ebner , Philip Noonan , Conor Horgan , Anisha Bahl , Sebastien Ourselin , Jonathan Shapey , Tom Vercauteren