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Purpose: To achieve automatic hyperparameter estimation for the joint recovery of quantitative MR images, we propose a Bayesian formulation of the reconstruction problem that incorporates the signal model. Additionally, we investigate the…

图像与视频处理 · 电气工程与系统科学 2023-09-12 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu

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 approximate message passing (AMP)…

信息论 · 计算机科学 2015-09-09 Jin Tan , Yanting Ma , Hoover Rueda , Dror Baron , Gonzalo Arce

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…

声音 · 计算机科学 2014-04-08 Swetha. R , Rukmani Devi. D

Approximate message passing (AMP) is an effective iterative sparse recovery algorithm for linear system models. Its performance is characterized by the state evolution (SE) which is a simple scalar recursion. However, depending on a…

信号处理 · 电气工程与系统科学 2018-04-02 Kazushi Mimura

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…

最优化与控制 · 数学 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

Purpose: To develop a deep learning-based Bayesian inference for MRI reconstruction. Methods: We modeled the MRI reconstruction problem with Bayes's theorem, following the recently proposed PixelCNN++ method. The image reconstruction from…

计算机视觉与模式识别 · 计算机科学 2022-02-18 GuanXiong Luo , Na Zhao , Wenhao Jiang , Edward S. Hui , Peng Cao

In this paper we revisit the sparse multiple measurement vector (MMV) problem where the aim is to recover a set of jointly sparse multichannel vectors from incomplete measurements. This problem has received increasing interest as an…

信息论 · 计算机科学 2015-03-14 Mike E. Davies , Yonina C. Eldar

We introduce a new paradigm for solving regularized variational problems. These are typically formulated to address ill-posed inverse problems encountered in signal and image processing. The objective function is traditionally defined by…

最优化与控制 · 数学 2021-04-22 Jean-Christophe Pesquet , Audrey Repetti , Matthieu Terris , Yves Wiaux

We consider the reconstruction problem of video snapshot compressive imaging (SCI), which captures high-speed videos using a low-speed 2D sensor (detector). The underlying principle of SCI is to modulate sequential high-speed frames with…

图像与视频处理 · 电气工程与系统科学 2021-01-14 Xin Yuan , Yang Liu , Jinli Suo , Frédo Durand , Qionghai Dai

Compressive sensing is a method to recover the original image from undersampled measurements. In order to overcome the ill-posedness of this inverse problem, image priors are used such as sparsity in the wavelet domain, minimum…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Magauiya Zhussip , Shakarim Soltanayev , Se Young Chun

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

数值分析 · 数学 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung

Recently deep neural networks have been widely and successfully applied in computer vision tasks and attracted growing interests in medical imaging. One barrier for the application of deep neural networks to medical imaging is the need of…

计算机视觉与模式识别 · 计算机科学 2018-07-06 Kuang Gong , Kyungsang Kim , Jianan Cui , Ning Guo , Ciprian Catana , Jinyi Qi , Quanzheng Li

Algorithms for Magnetic Resonance (MR) image reconstruction from undersampled measurements exploit prior information to compensate for missing k-space data. Deep learning (DL) provides a powerful framework for extracting such information…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Kerem C. Tezcan , Christian F. Baumgartner , Roger Luechinger , Klaas P. Pruessmann , Ender Konukoglu

Ill-posed inverse problems appear in many image processing applications, such as deblurring and super-resolution. In recent years, solutions that are based on deep Convolutional Neural Networks (CNNs) have shown great promise. Yet, most of…

计算机视觉与模式识别 · 计算机科学 2021-02-05 Shady Abu-Hussein , Tom Tirer , Se Young Chun , Yonina C. Eldar , Raja Giryes

Magnetic resonance imaging (MRI) is one of the noninvasive imaging modalities that can produce high-quality images. However, the scan procedure is relatively slow, which causes patient discomfort and motion artifacts in images. Accelerating…

图像与视频处理 · 电气工程与系统科学 2023-01-18 Samira Vafay Eslahi , Jian Tao , Jim Ji

Deep learning-based methods have revolutionized the field of imaging inverse problems, yielding state-of-the-art performance across various imaging domains. The best performing networks incorporate the imaging operator within the network…

计算机视觉与模式识别 · 计算机科学 2026-01-06 Romain Vo , Julián Tachella

Ill-posed linear inverse problems (ILIP), such as restoration and reconstruction, are a core topic of signal/image processing. A standard approach to deal with ILIP uses a constrained optimization problem, where a regularization function is…

最优化与控制 · 数学 2016-11-15 Manya V. Afonso , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

Magnetic particle imaging (MPI) data is commonly reconstructed using a system matrix acquired in a time-consuming calibration measurement. The calibration approach has the important advantage over model-based reconstruction that it takes…

图像与视频处理 · 电气工程与系统科学 2019-05-09 Ivo Matteo Baltruschat , Patryk Szwargulski , Florian Griese , Mirco Grosser , René Werner , Tobias Knopp

Radio map estimation (RME), also known as spectrum cartography, aims to reconstruct the strength of radio interference across different domains (e.g., space and frequency) from sparsely sampled measurements. To tackle this typical inverse…

信号处理 · 电气工程与系统科学 2025-06-27 Le Xu , Lei Cheng , Junting Chen , Wenqiang Pu , Xiao Fu

Most compressive sensing (CS) reconstruction methods can be divided into two categories, i.e. model-based methods and classical deep network methods. By unfolding the iterative optimization algorithm for model-based methods onto networks,…

图像与视频处理 · 电气工程与系统科学 2021-01-25 Zhonghao Zhang , Yipeng Liu , Jiani Liu , Fei Wen , Ce Zhu