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Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding…

Information Theory · Computer Science 2008-05-06 Thomas Blumensath , Mike E. Davies

Mask-based lensless cameras offer a novel design for imaging systems by replacing the lens in a conventional camera with a layer of coded mask. Each pixel of the lensless camera encodes the information of the entire 3D scene. Existing…

Image and Video Processing · Electrical Eng. & Systems 2022-12-23 Yucheng Zheng , M. Salman Asif

The microwave imaging based on inverse scattering strategy holds important promising in the science, engineering, and military applications. Here we present a compressed-sensing (CS) inspired large- aperture computational single-sensor…

Applied Physics · Physics 2017-05-29 Dapeng Lao , Lianlin Li , Jun Ding , Yun Bo Li , Tie Jun Cui

Based on point spread function (PSF) engineering and astigmatism due to a pair of cylindrical lenses, a novel compressed imaging mechanism is proposed to achieve single-shot incoherent 3D imaging. The speckle-like PSF of the imaging system…

Optics · Physics 2021-05-24 Qiong Gao , Weidong Qu , Ming Shao , Wei Liu , Xiangzheng Cheng

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy the…

Computational Complexity · Computer Science 2011-10-18 Pascal Koiran , Anastasios Zouzias

Light field imaging is limited in its computational processing demands of high sampling for both spatial and angular dimensions. Single-shot light field cameras sacrifice spatial resolution to sample angular viewpoints, typically by…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Mayank Gupta , Arjun Jauhari , Kuldeep Kulkarni , Suren Jayasuriya , Alyosha Molnar , Pavan Turaga

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

This paper addresses the problem of correlation estimation in sets of compressed images. We consider a framework where images are represented under the form of linear measurements due to low complexity sensing or security requirements. We…

Computer Vision and Pattern Recognition · Computer Science 2011-12-20 Vijayaraghavan Thirumalai , Pascal Frossard

Coded aperture is a promising approach for capturing the 4-D light field (LF), in which the 4-D data are compressively modulated into 2-D coded measurements that are further decoded by reconstruction algorithms. The bottleneck lies in the…

Image and Video Processing · Electrical Eng. & Systems 2020-07-24 Mantang Guo , Junhui Hou , Jing Jin , Jie Chen , Lap-Pui Chau

This paper introduces the concept of adaptive temporal compressive sensing (CS) for video. We propose a CS algorithm to adapt the compression ratio based on the scene's temporal complexity, computed from the compressed data, without…

Applications · Statistics 2016-11-17 Xin Yuan , Jianbo Yang , Patrick Llull , Xuejun Liao , Guillermo Sapiro , David J. Brady , Lawrence Carin

We demonstrate single-shot compressive three-dimensional (3D) $(x, y, z)$ imaging based on interference coding. The depth dimension of the object is encoded into the interferometric spectra of the light field, resulting a $(x, y, \lambda)$…

Image and Video Processing · Electrical Eng. & Systems 2020-04-07 Mu Qiao , Yangyang Sun , Jiawei Ma , Ziyi Meng , Xuan Liu , Xin Yuan

Traditional video compression technologies have been developed over decades in pursuit of higher coding efficiency. Efficient temporal information representation plays a key role in video coding. Thus, in this paper, we propose to exploit…

Image and Video Processing · Electrical Eng. & Systems 2019-12-16 Haojie Liu , Han shen , Lichao Huang , Ming Lu , Tong Chen , Zhan Ma

We present a novel approach to implement compressive sensing in laser scanning microscopes (LSM), specifically in image scanning microscopy (ISM), using a single-photon avalanche diode (SPAD) array detector. Our method addresses two…

Image and Video Processing · Electrical Eng. & Systems 2023-07-20 Ajay Gunalan , Marco Castello , Simonluca Piazza , Shunlei Li , Alberto Diaspro , Leonardo S. Mattos , Paolo Bianchini

Video reconstruction from a single motion-blurred image is a challenging problem, which can enhance the capabilities of existing cameras. Recently, several works addressed this task using conventional imaging and deep learning. Yet, such…

Image and Video Processing · Electrical Eng. & Systems 2022-12-20 Erez Yosef , Shay Elmalem , Raja Giryes

Compressed sensing is a processing method that significantly reduces the number of measurements needed to accurately resolve signals in many fields of science and engineering. We develop a two-dimensional (2D) variant of compressed sensing…

Quantum Physics · Physics 2012-07-17 J. N. Sanders , S. Mostame , S. K. Saikin , X. Andrade , J. R. Widom , A. H. Marcus , A. Aspuru-Guzik

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

Information Theory · Computer Science 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

Optical Deflectometric Tomography (ODT) provides an accurate characterization of transparent materials whose complex surfaces present a real challenge for manufacture and control. In ODT, the refractive index map (RIM) of a transparent…

Computer Vision and Pattern Recognition · Computer Science 2013-10-31 Adriana Gonzalez , Laurent Jacques , Christophe De Vleeschouwer , Philippe Antoine

Compressive sensing is considered a huge breakthrough in signal acquisition. It allows recording an image consisting of $N^2$ pixels using much fewer than $N^2$ measurements if it can be transformed to a basis where most pixels take on…

Optics · Physics 2013-04-02 Marc Aßmann , Manfred Bayer

We address the problem of reconstructing and analyzing surveillance videos using compressive sensing. We develop a new method that performs video reconstruction by low rank and sparse decomposition adaptively. Background subtraction becomes…

Information Theory · Computer Science 2016-11-17 Fei Yang , Hong Jiang , Zuowei Shen , Wei Deng , Dimitris Metaxas

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…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 A. Asensio Ramos , A. Lopez Ariste