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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

Data acquired from multi-channel sensors is a highly valuable asset to interpret the environment for a variety of remote sensing applications. However, low spatial resolution is a critical limitation for previous sensors and the constituent…

计算机视觉与模式识别 · 计算机科学 2018-07-17 Savas Ozkan , Berk Kaya , Gozde Bozdagi Akar

Electron tomography has achieved higher resolution and quality at reduced doses with recent advances in compressed sensing. Compressed sensing (CS) theory exploits the inherent sparse signal structure to efficiently reconstruct…

计算物理 · 物理学 2020-12-02 Jonathan Schwartz , Huihuo Zheng , Marcus Hanwell , Yi Jiang , Robert Hovden

Compressed sensing allows for the recovery of sparse signals from few measurements, whose number is proportional to the sparsity of the unknown signal, up to logarithmic factors. The classical theory typically considers either random linear…

Using RF signals for wireless sensing has gained increasing attention. However, due to the unwanted multi-path fading in uncontrollable radio environments, the accuracy of RF sensing is limited. Instead of passively adapting to the…

信号处理 · 电气工程与系统科学 2020-11-26 Jingzhi Hu , Hongliang Zhang , Kaigui Bian , Marco Di Renzo , Zhu Han , Lingyang Song

To accelerate MRI, the field of compressed sensing is traditionally concerned with optimizing the image quality after a partial undersampling of the measurable $\textit{k}$-space. In our work, we propose to change the focus from the quality…

图像与视频处理 · 电气工程与系统科学 2022-11-15 Artem Razumov , Oleg Y. Rogov , Dmitry V. Dylov

Real-world imaging systems acquire measurements that are degraded by noise, optical aberrations, and other imperfections that make image processing for human viewing and higher-level perception tasks challenging. Conventional cameras…

计算机视觉与模式识别 · 计算机科学 2021-05-11 Steven Diamond , Vincent Sitzmann , Frank Julca-Aguilar , Stephen Boyd , Gordon Wetzstein , Felix Heide

Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some basis) using only a small number of random measurements. Existing results in compressed sensing literature have focused on characterizing the achievable…

信息论 · 计算机科学 2015-05-18 Dmitry Malioutov , Sujay Sanghavi , Alan Willsky

Sparsity is a ubiquitous feature of many real world signals such as natural images and neural spiking activities. Conventional compressed sensing utilizes sparsity to recover low dimensional signal structures in high ambient dimensions…

统计理论 · 数学 2018-07-02 Abbas Kazemipour

With the advent of multi-coil imaging and compressed sensing, a number of model based reconstruction algorithms have been created. They incorporate a multitude of different regularization functions based on physics, observed phenomenology,…

图像与视频处理 · 电气工程与系统科学 2023-02-03 Nicholas Dwork , Ethan M. I. Johnson , Daniel O'Connor , Jeremy W. Gordon , Adam B. Kerr , Corey A. Baron , John M. Pauly , Peder E. Z. Larson

In this manuscript, we analyze the sparse signal recovery (compressive sensing) problem from the perspective of convex optimization by stochastic proximal gradient descent. This view allows us to significantly simplify the recovery analysis…

数据结构与算法 · 计算机科学 2013-04-19 Rong Jin , Tianbao Yang , Shenghuo Zhu

To obtain the best resolution for any measurement there is an ever-present challenge to achieve maximal differentiation between signal and noise over as fine of sampling dimensions as possible. In diffraction science these issues are…

仪器与探测器 · 物理学 2023-10-23 James Weng , Niklas B. Thompson , Christopher Folmar , James D. Martin , Christina Hoffman

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

信号处理 · 电气工程与系统科学 2021-10-15 Michael Koller , Wolfgang Utschick

Sparse depth measurements are widely available in many applications such as augmented reality, visual inertial odometry and robots equipped with low cost depth sensors. Although such sparse depth samples work well for certain applications…

计算机视觉与模式识别 · 计算机科学 2021-12-13 Bing Zhou , Matias Aiskovich , Sinem Guven

Reconfigurable intelligent metasurfaces have been proposed as an efficient solution for improving wireless telecommunication systems in multiple scattering or reverberating media. Concurrently, topology optimization has been successfully…

应用物理 · 物理学 2023-11-07 Theodosios D. Karamanos , Mathias Fink , Fabrice Lemoult

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

Conventional compressed sensing theory assumes signals have sparse representations in a known, finite dictionary. Nevertheless, in many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the…

信息论 · 计算机科学 2014-12-19 Jun Fang , Huiping Duan , Jing Li , Hongbin Li , Rick S. Blum

While raw images exhibit advantages over sRGB images (e.g., linearity and fine-grained quantization level), they are not widely used by common users due to the large storage requirements. Very recent works propose to compress raw images by…

计算机视觉与模式识别 · 计算机科学 2023-03-01 Yufei Wang , Yi Yu , Wenhan Yang , Lanqing Guo , Lap-Pui Chau , Alex Kot , Bihan Wen

It plays a fundamental role to compactly represent the visual information towards the optimization of the ultimate utility in myriad visual data centered applications. With numerous approaches proposed to efficiently compress the texture…

计算机视觉与模式识别 · 计算机科学 2021-04-20 Shurun Wang , Shiqi Wang , Wenhan Yang , Xinfeng Zhang , Shanshe Wang , Siwei Ma , Wen Gao

An increasing share of captured images and videos are transmitted for storage and remote analysis by computer vision algorithms, rather than to be viewed by humans. Contrary to traditional standard codecs with engineered tools, neural…

计算机视觉与模式识别 · 计算机科学 2021-03-09 Lahiru D. Chamain , Fabien Racapé , Jean Bégaint , Akshay Pushparaja , Simon Feltman