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Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

Information Theory · Computer Science 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

Information Theory · Computer Science 2013-10-07 Diego Valsesia , Enrico Magli

The theory of compressive sensing (CS) asserts that an unknown signal $\mathbf{x} \in \mathbb{C}^N$ can be accurately recovered from $m$ measurements with $m\ll N$ provided that $\mathbf{x}$ is sparse. Most of the recovery algorithms need…

Methodology · Statistics 2017-10-12 Jianfeng Wang , Zhiyong Zhou , Anders Garpebring , Jun Yu

The mathematical theory of compressed sensing (CS) asserts that one can acquire signals from measurements whose rate is much lower than the total bandwidth. Whereas the CS theory is now well developed, challenges concerning hardware…

Minfrared spectroscopic imaging (MIRSI) is an emerging class of label-free, biochemically quantitative technologies targeting digital histopathology. Conventional histopathology relies on chemical stains that alter tissue color. This…

Image and Video Processing · Electrical Eng. & Systems 2022-07-26 Mahsa Lotfollahi , Nguyen Tran , Sebastian Berisha , Chalapathi Gajjela , Zhu Han , David Mayerich , Rohith Reddy

Advances in CMOS technology have made high resolution image sensors possible. These image sensor pose significant challenges in terms of the amount of raw data generated, energy efficiency and frame rate. This paper presents a new design…

Image and Video Processing · Electrical Eng. & Systems 2018-01-12 Pravir Singh Gupta , Gwan Seong Choi

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

Optimization and Control · Mathematics 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

We develop a new compressive sensing (CS) inversion algorithm by utilizing the Gaussian mixture model (GMM). While the compressive sensing is performed globally on the entire image as implemented in our lensless camera, a low-rank GMM is…

Machine Learning · Statistics 2015-08-28 Xin Yuan , Hong Jiang , Gang Huang , Paul A. Wilford

Deep learning based image compressed sensing (CS) has achieved great success. However, existing CS systems mainly adopt a fixed measurement matrix to images, ignoring the fact the optimal measurement numbers and bases are different for…

Image and Video Processing · Electrical Eng. & Systems 2023-07-12 Bowen Zhang , Zhijin Qin , Geoffrey Ye Li

Compressed Sensing (CS) facilitates rapid image acquisition by selecting a small subset of measurements sufficient for high-fidelity reconstruction. Adaptive CS seeks to further enhance this process by dynamically choosing future…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Noam Elata , Tomer Michaeli , Michael Elad

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…

Information Theory · Computer Science 2019-04-30 Shirin Jalali , Xin Yuan

Compressive sensing (CS) is an effective approach for fast Magnetic Resonance Imaging (MRI). It aims at reconstructing MR images from a small number of under-sampled data in k-space, and accelerating the data acquisition in MRI. To improve…

Computer Vision and Pattern Recognition · Computer Science 2017-05-22 Yan Yang , Jian Sun , Huibin Li , Zongben Xu

The problem of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy is addressed. Basics of the sampling theory are outlined to show that the lower bound of signal sampling…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Leonid P. Yaroslavsky

Compressed sensing (CS) is a challenging problem in image processing due to reconstructing an almost complete image from a limited measurement. To achieve fast and accurate CS reconstruction, we synthesize the advantages of two well-known…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Nanyu Li , Charles C. Zhou

Scene-aware Adaptive Compressive Sensing (ACS) has attracted significant interest due to its promising capability for efficient and high-fidelity acquisition of scene images. ACS typically prescribes adaptive sampling allocation (ASA) based…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Zhifu Tian , Tao Hu , Chaoyang Niu , Di Wu , Shu Wang

Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than traditional theory dictates. Recently, many so-called signal space methods have been…

Numerical Analysis · Mathematics 2015-11-13 Xiaoyi Gu , Deanna Needell , Shenyinying Tu

This paper observes the application of the Compressive Sensing in reconstruction of the under-sampled iris images. Iris recognition represents form of biometric identification whose usage in real applications is growing. Compressive Sensing…

Image and Video Processing · Electrical Eng. & Systems 2019-02-11 Radoje Darmanovic , Tamara Bulatovic , Seid Salkovic

In the area of near-field millimeter-wave imaging, the generalized sparse array synthesis (SAS) method is in great demand. The traditional methods usually employ the greedy algorithms, which may have the convergence problem. This paper…

Signal Processing · Electrical Eng. & Systems 2022-08-10 Shuoguang Wang , Shiyong Li , Ahmad Hoorfar , Ke Miao , Guoqiang Zhao , Houjun Sun

An algorithm based on compressive sensing (CS) is proposed for synthetic aperture radar (SAR) imaging of moving targets. The received SAR echo is decomposed into the sum of basis sub-signals, which are generated by discretizing the target…

Information Theory · Computer Science 2011-04-07 Jun Wang , Gang Li , Hao Zhang , Xiqin Wang

Compressive spectral imaging (CSI) has emerged as an alternative spectral image acquisition technology, which reduces the number of measurements at the cost of requiring a recovery process. In general, the reconstruction methods are based…

Image and Video Processing · Electrical Eng. & Systems 2021-05-19 Jorge Bacca , Yesid Fonseca , Henry Arguello