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Model-based methods are widely used for reconstruction in compressed sensing (CS) magnetic resonance imaging (MRI), using regularizers to describe the images of interest. The reconstruction process is equivalent to solving a composite…

Optimization and Control · Mathematics 2024-02-27 Tao Hong , Luis Hernandez-Garcia , Jeffrey A. Fessler

In coded aperture snapshot spectral imaging (CASSI), the captured measurement entangles spatial and spectral information, posing a severely ill-posed inverse problem for hyperspectral images (HSIs) reconstruction. Moreover, the captured…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Xiaodong Wang , Zijun He , Ping Wang , Lishun Wang , Yanan Hu , Xin Yuan

Hyperspectral compressive imaging takes advantage of compressive sensing theory to achieve coded aperture snapshot measurement without temporal scanning, and the entire three-dimensional spatial-spectral data is captured by a…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Yubao Sun , Ying Yang , Qingshan Liu , Mohan Kankanhalli

Increasing the imaging speed is a central aim in photoacoustic tomography. This issue is especially important in the case of sequential scanning approaches as applied for most existing optical detection schemes. In this work we address this…

Numerical Analysis · Mathematics 2016-11-23 Markus Haltmeier , Thomas Berer , Sunghwan Moon , Peter Burgholzer

Approximate message passing (AMP) is an efficient iterative signal recovery algorithm for compressed sensing (CS). For sensing matrices with independent and identically distributed (i.i.d.) Gaussian entries, the behavior of AMP can be…

Information Theory · Computer Science 2016-10-20 Zhipeng Xue , Junjie Ma , Xiaojun Yuan

Hyperspectral Images (HSIs) are crucial across numerous fields but are hindered by the long acquisition times associated with traditional spectrometers. The Coded Aperture Snapshot Spectral Imaging (CASSI) system mitigates this issue…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Jianan Li , Huan Chen , Wangcai Zhao , Rui Chen , Tingfa Xu

This paper considers a compressive sensing (CS) approach for hyperspectral data acquisition, which results in a practical compression ratio substantially higher than the state-of-the-art. Applying simultaneous low-rank and joint-sparse…

Information Theory · Computer Science 2016-07-13 Yangqing Li , Saurabh Prasad , Wei Chen , Changchuan Yin , Zhu Han

Snapshot hyperspectral imaging can capture the 3D hyperspectral image (HSI) with a single 2D measurement and has attracted increasing attention recently. Recovering the underlying HSI from the compressive measurement is an ill-posed problem…

Image and Video Processing · Electrical Eng. & Systems 2021-01-25 Niankai Cheng , Hua Huang , Lei Zhang , Lizhi Wang

In this paper, an efficient distributed approach for implementing the approximate message passing (AMP) algorithm, named distributed AMP (DAMP), is developed for compressed sensing (CS) recovery in sensor networks with the sparsity K…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-26 Puxiao Han , Ruixin Niu , Mengqi Ren

In a recent paper, the authors proposed a new class of low-complexity iterative thresholding algorithms for reconstructing sparse signals from a small set of linear measurements \cite{DMM}. The new algorithms are broadly referred to as AMP,…

Information Theory · Computer Science 2009-11-24 David L. Donoho , Arian Maleki , Andrea Montanari

Single-pixel imaging (SPI) is a novel technique capturing 2D images using a photodiode, instead of conventional 2D array sensors. SPI owns high signal-to-noise ratio, wide spectrum range, low cost, and robustness to light scattering.…

Computer Vision and Pattern Recognition · Computer Science 2017-12-12 Liheng Bian , Jinli Suo , Qionghai Dai , Feng Chen

Fast Magnetic Resonance Imaging (MRI) is highly in demand for many clinical applications in order to reduce the scanning cost and improve the patient experience. This can also potentially increase the image quality by reducing the motion…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Simiao Yu , Hao Dong , Guang Yang , Greg Slabaugh , Pier Luigi Dragotti , Xujiong Ye , Fangde Liu , Simon Arridge , Jennifer Keegan , David Firmin , Yike Guo

Audio restoration is effectively achieved by using low complexity algorithm called AMP. This algorithm has fast convergence and has lower computation intensity making it suitable for audio recovery problems. This paper focuses on restoring…

Sound · Computer Science 2014-04-08 Swetha. R , Rukmani Devi. D

Sparsity-based approaches have been popular in many applications in image processing and imaging. Compressed sensing exploits the sparsity of images in a transform domain or dictionary to improve image recovery from undersampled…

Machine Learning · Statistics 2019-06-14 Saiprasad Ravishankar , Brian E. Moore , Raj Rao Nadakuditi , Jeffrey A. Fessler

Diffusion MRI (dMRI) provides the ability to reconstruct neuronal fibers in the brain, $\textit{in vivo}$, by measuring water diffusion along angular gradient directions in q-space. High angular resolution diffusion imaging (HARDI) can…

Machine Learning · Statistics 2018-05-30 Evan Schwab , René Vidal , Nicolas Charon

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

Information Theory · Computer Science 2009-06-08 Graeme Pope

Fast and effective image compression for multi-dimensional images has become increasingly important for efficient storage and transfer of massive amounts of high-resolution images and videos. Desirable properties in compression methods…

Image and Video Processing · Electrical Eng. & Systems 2020-11-13 Rongjie Liu , Meng Li , Li Ma

Hyperspectral image (HSI) deconvolution is a challenging ill-posed inverse problem, made difficult by the data's high dimensionality.We propose a parameter-parsimonious framework based on a low-rank Canonical Polyadic Decomposition (CPD) of…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Xinjue Wang , Xiuheng Wang , Esa Ollila , Sergiy A. Vorobyov

This paper introduces {HINER}, a novel neural representation for compressing HSI and ensuring high-quality downstream tasks on compressed HSI. HINER fully exploits inter-spectral correlations by explicitly encoding of spectral wavelengths…

Image and Video Processing · Electrical Eng. & Systems 2024-08-01 Junqi Shi , Mingyi Jiang , Ming Lu , Tong Chen , Xun Cao , Zhan Ma

Magnetic resonance imaging (MRI) is an essential medical tool with inherently slow data acquisition process. Slow acquisition process requires patient to be long time exposed to scanning apparatus. In recent years significant efforts are…

Computer Vision and Pattern Recognition · Computer Science 2015-03-05 Jelena Badnjar
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