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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

The goal of compressed sensing is to learn a structured signal $x$ from a limited number of noisy linear measurements $y \approx Ax$. In traditional compressed sensing, "structure" is represented by sparsity in some known basis. Inspired by…

Data Structures and Algorithms · Computer Science 2019-12-09 Akshay Kamath , Sushrut Karmalkar , Eric Price

Recently pretrained generative models have shown promising results for subsampled Fourier Ptychography (FP) in terms of quality of reconstruction for extremely low sampling rate and high noise. However, one of the significant drawbacks of…

Image and Video Processing · Electrical Eng. & Systems 2020-05-15 Fahad Shamshad , Asif Hanif , Ali Ahmed

In compressed sensing, the goal is to reconstruct the signal from an underdetermined system of linear measurements. Thus, prior knowledge about the signal of interest and its structure is required. Additionally, in many scenarios, the…

Machine Learning · Computer Science 2022-06-29 Anna Kuzina , Kumar Pratik , Fabio Valerio Massoli , Arash Behboodi

Deep convolutional networks have become a popular tool for image generation and restoration. Generally, their excellent performance is imputed to their ability to learn realistic image priors from a large number of example images. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Dmitry Ulyanov , Andrea Vedaldi , Victor Lempitsky

Image denoising aims to remove noise while preserving structural details and perceptual realism, yet distortion-driven methods often produce over-smoothed reconstructions, especially under strong noise and distribution shift. This paper…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Nam Nguyen , Thinh Nguyen , Bella Bose

Magnetic resonance image (MRI) reconstruction is a severely ill-posed linear inverse task demanding time and resource intensive computations that can substantially trade off {\it accuracy} for {\it speed} in real-time imaging. In addition,…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Morteza Mardani , Enhao Gong , Joseph Y. Cheng , Shreyas Vasanawala , Greg Zaharchuk , Marcus Alley , Neil Thakur , Song Han , William Dally , John M. Pauly , Lei Xing

In this paper, we consider the problem of recovering compressively sensed ultrasound images. We build on prior work, and consider a number of existing approaches that we consider to be the state-of-the-art. The methods we consider take…

Signal Processing · Electrical Eng. & Systems 2018-11-06 Richard Porter , Vladislav Tadic , Alin Achim

We examine the problem of selecting a small set of linear measurements for reconstructing high-dimensional signals. Well-established methods for optimizing such measurements include principal component analysis (PCA), independent component…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Ling-Qi Zhang , Zahra Kadkhodaie , Eero P. Simoncelli , David H. Brainard

Learning a good image prior is a long-term goal for image restoration and manipulation. While existing methods like deep image prior (DIP) capture low-level image statistics, there are still gaps toward an image prior that captures rich…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Xingang Pan , Xiaohang Zhan , Bo Dai , Dahua Lin , Chen Change Loy , Ping Luo

Traditional algorithms for compressive sensing recovery are computationally expensive and are ineffective at low measurement rates. In this work, we propose a data driven non-iterative algorithm to overcome the shortcomings of earlier…

Computer Vision and Pattern Recognition · Computer Science 2017-08-18 Suhas Lohit , Kuldeep Kulkarni , Ronan Kerviche , Pavan Turaga , Amit Ashok

The compressed sensing (CS) theory has been successfully applied to image compression in the past few years as most image signals are sparse in a certain domain. Several CS reconstruction models have been recently proposed and obtained…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Wuzhen Shi , Feng Jiang , Shengping Zhang , Debin Zhao

Thanks to the recent development of deep generative models, it is becoming possible to generate high-quality images with both fidelity and diversity. However, the training of such generative models requires a large dataset. To reduce the…

Computer Vision and Pattern Recognition · Computer Science 2019-10-24 Atsuhiro Noguchi , Tatsuya Harada

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

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. In this paper we address the application of CS to the scenario of progressive acquisition of 2D visual…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Enrico Magli

Despite the success of Generative Adversarial Networks (GANs) in image synthesis, applying trained GAN models to real image processing remains challenging. Previous methods typically invert a target image back to the latent space either by…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Jinjin Gu , Yujun Shen , Bolei Zhou

Generative compressed sensing uses the range of a pretrained generator as a nonlinear model for recovering structured signals from limited measurements. We study a conditional version of this problem for image recovery from subsampled…

Machine Learning · Computer Science 2026-05-08 Alexander DeLise , Nick Dexter

We extensively study how to combine Generative Adversarial Networks and learned compression to obtain a state-of-the-art generative lossy compression system. In particular, we investigate normalization layers, generator and discriminator…

Image and Video Processing · Electrical Eng. & Systems 2020-10-26 Fabian Mentzer , George Toderici , Michael Tschannen , Eirikur Agustsson

Reconstruction of signals from compressively sensed measurements is an ill-posed problem. In this paper, we leverage the recurrent generative model, RIDE, as an image prior for compressive image reconstruction. Recurrent networks can model…

Computer Vision and Pattern Recognition · Computer Science 2017-05-05 Akshat Dave , Anil Kumar Vadathya , Kaushik Mitra

Obtaining a useful estimate of an object from highly incomplete imaging measurements remains a holy grail of imaging science. Deep learning methods have shown promise in learning object priors or constraints to improve the conditioning of…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Varun A. Kelkar , Mark A. Anastasio