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Compressive image recovery is a challenging problem that requires fast and accurate algorithms. Recently, neural networks have been applied to this problem with promising results. By exploiting massively parallel GPU processing…

Machine Learning · Statistics 2017-11-08 Christopher A. Metzler , Ali Mousavi , Richard G. Baraniuk

To solve inverse problems, plug-and-play (PnP) methods replace the proximal step in a convex optimization algorithm with a call to an application-specific denoiser, often implemented using a deep neural network (DNN). Although such methods…

Image and Video Processing · Electrical Eng. & Systems 2022-09-08 Saurav K. Shastri , Rizwan Ahmad , Christopher A. Metzler , Philip Schniter

The denoising-based approximate message passing (D-AMP) methodology, recently proposed by Metzler, Maleki, and Baraniuk, allows one to plug in sophisticated denoisers like BM3D into the AMP algorithm to achieve state-of-the-art compressive…

Information Theory · Computer Science 2016-11-07 Philip Schniter , Sundeep Rangan , Alyson Fletcher

Magnetic Resonance Imaging (MRI) is a non-invasive diagnostic tool that provides excellent soft-tissue contrast without the use of ionizing radiation. Compared to other clinical imaging modalities (e.g., CT or ultrasound), however, the data…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Rizwan Ahmad , Charles A. Bouman , Gregery T. Buzzard , Stanley Chan , Sizhou Liu , Edward T. Reehorst , Philip Schniter

Approximate message passing (AMP) algorithms are iterative methods for signal recovery in noisy linear systems. In some scenarios, AMP algorithms need to operate within a distributed network. To address this challenge, the distributed…

Signal Processing · Electrical Eng. & Systems 2024-07-26 Jun Lu , Lei Liu , Shunqi Huang , Ning Wei , Xiaoming Chen

We consider compressive imaging problems, where images are reconstructed from a reduced number of linear measurements. Our objective is to improve over existing compressive imaging algorithms in terms of both reconstruction error and…

Information Theory · Computer Science 2015-06-19 Jin Tan , Yanting Ma , Dror Baron

Estimating a vector $\mathbf{x}$ from noisy linear measurements $\mathbf{Ax}+\mathbf{w}$ often requires use of prior knowledge or structural constraints on $\mathbf{x}$ for accurate reconstruction. Several recent works have considered…

Information Theory · Computer Science 2020-01-29 Alyson K. Fletcher , Sundeep Rangan , Subrata Sarkar , Philip Schniter

The Recently proposed Vector Approximate Message Passing (VAMP) algorithm demonstrates a great reconstruction potential at solving compressed sensing related linear inverse problems. VAMP provides high per-iteration improvement, can utilize…

Information Theory · Computer Science 2024-10-30 Nikolajs Skuratovs , Michael Davies

X-ray Computed Tomography (CT) reconstruction from a sparse number of views is a useful way to reduce either the radiation dose or the acquisition time, for example in fixed-gantry CT systems, however this results in an ill-posed inverse…

Data Structures and Algorithms · Computer Science 2020-11-04 Alessandro Perelli , Michael Lexa , Ali Can , Mike E. Davies

Medical Imaging (MI) tasks, such as accelerated parallel Magnetic Resonance Imaging (MRI), often involve reconstructing an image from noisy or incomplete measurements. This amounts to solving ill-posed inverse problems, where a satisfactory…

Image and Video Processing · Electrical Eng. & Systems 2024-07-31 George Yiasemis , Nikita Moriakov , Jan-Jakob Sonke , Jonas Teuwen

The acquisition of Magnetic Resonance Imaging (MRI) is inherently slow. Inspired by recent advances in deep learning, we propose a framework for reconstructing MR images from undersampled data using a deep cascade of convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2017-03-03 Jo Schlemper , Jose Caballero , Joseph V. Hajnal , Anthony Price , Daniel Rueckert

Plug and play (P&P) algorithms iteratively apply highly optimized image denoisers to impose priors and solve computational image reconstruction problems, to great effect. However, in general the "effective noise", that is the difference…

Signal Processing · Electrical Eng. & Systems 2020-10-27 Christopher A. Metzler , Gordon Wetzstein

Deep learning has gained great popularity due to its widespread success on many inference problems. We consider the application of deep learning to the sparse linear inverse problem, where one seeks to recover a sparse signal from a few…

Information Theory · Computer Science 2017-08-02 Mark Borgerding , Philip Schniter , Sundeep Rangan

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

Magnetic Resonance Imaging can produce detailed images of the anatomy and physiology of the human body that can assist doctors in diagnosing and treating pathologies such as tumours. However, MRI suffers from very long acquisition times…

Image and Video Processing · Electrical Eng. & Systems 2022-03-30 George Yiasemis , Jan-Jakob Sonke , Clarisa Sánchez , Jonas Teuwen

We consider a compressive hyperspectral imaging reconstruction problem, where three-dimensional spatio-spectral information about a scene is sensed by a coded aperture snapshot spectral imager (CASSI). The CASSI imaging process can be…

Information Theory · Computer Science 2016-04-20 Jin Tan , Yanting Ma , Hoover Rueda , Dror Baron , Gonzalo Arce

Approximate Message Passing (AMP) type algorithms are widely used for signal recovery in high-dimensional noisy linear systems. Recently, a principle called Memory AMP (MAMP) was proposed. Leveraging this principle, the gradient descent…

Information Theory · Computer Science 2026-01-01 Shunqi Huang , Lei Liu , Brian M. Kurkoski

For image recovery problems, plug-and-play (PnP) methods have been developed that replace the proximal step in an optimization algorithm with a call to an application-specific denoiser, often implemented using a deep neural network.…

Information Theory · Computer Science 2022-02-14 Saurav K Shastri , Rizwan Ahmad , Christopher A Metzler , Philip Schniter

Fast data acquisition in Magnetic Resonance Imaging (MRI) is vastly in demand and scan time directly depends on the number of acquired k-space samples. Conventional MRI reconstruction methods for fast MRI acquisition mostly relied on…

Image and Video Processing · Electrical Eng. & Systems 2019-09-10 Ali Pour Yazdanpanah , Onur Afacan , Simon K. Warfield

Magnetic resonance imaging (MRI) plays an important role in modern medical diagnostic but suffers from prolonged scan time. Current deep learning methods for undersampled MRI reconstruction exhibit good performance in image de-aliasing…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Min Xiao , Zi Wang , Jiefeng Guo , Xiaobo Qu
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