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Many imaging problems require solving an inverse problem that is ill-conditioned or ill-posed. Imaging methods typically address this difficulty by regularising the estimation problem to make it well-posed. This often requires setting the…

统计方法学 · 统计学 2020-08-17 Ana F. Vidal , Valentin De Bortoli , Marcelo Pereyra , Alain Durmus

Parallel imaging techniques reduce magnetic resonance imaging (MRI) scan time but image quality degrades as the acceleration factor increases. In clinical practice, conservative acceleration factors are chosen because no mechanism exists to…

图像与视频处理 · 电气工程与系统科学 2026-05-26 Ilias I. Giannakopoulos , Lokesh B Gautham Muthukumar , Yvonne W. Lui , Riccardo Lattanzi

The main disadvantage of Magnetic Resonance Imaging (MRI) are its long scan times and, in consequence, its sensitivity to motion. Exploiting the complementary information from multiple receive coils, parallel imaging is able to recover…

数值分析 · 计算机科学 2017-03-07 Martin Uecker

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

图像与视频处理 · 电气工程与系统科学 2025-06-12 Mahrokh Najaf , Gregory Ongie

Selecting an appropriate prior to compensate for information loss due to the measurement operator is a fundamental challenge in imaging inverse problems. Implicit priors based on denoising neural networks have become central to widely-used…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Matthieu Terris , Ulugbek S. Kamilov , Thomas Moreau

One primary technical challenge in photoacoustic microscopy (PAM) is the necessary compromise between spatial resolution and imaging speed. In this study, we propose a novel application of deep learning principles to reconstruct…

图像与视频处理 · 电气工程与系统科学 2020-06-02 Anthony DiSpirito , Daiwei Li , Tri Vu , Maomao Chen , Dong Zhang , Jianwen Luo , Roarke Horstmeyer , Junjie Yao

Image pyramids are commonly used in modern computer vision tasks to obtain multi-scale features for precise understanding of images. However, image pyramids process multiple resolutions of images using the same large-scale model, which…

计算机视觉与模式识别 · 计算机科学 2024-10-29 Xizhou Zhu , Xue Yang , Zhaokai Wang , Hao Li , Wenhan Dou , Junqi Ge , Lewei Lu , Yu Qiao , Jifeng Dai

Computational image reconstruction algorithms generally produce a single image without any measure of uncertainty or confidence. Regularized Maximum Likelihood (RML) and feed-forward deep learning approaches for inverse problems typically…

机器学习 · 计算机科学 2020-12-18 He Sun , Katherine L. Bouman

We study the compressed sensing reconstruction problem for a broad class of random, band-diagonal sensing matrices. This construction is inspired by the idea of spatial coupling in coding theory. As demonstrated heuristically and…

信息论 · 计算机科学 2015-03-19 David L. Donoho , Adel Javanmard , Andrea Montanari

Photoacoustic imaging (PAI) is a novel medical imaging modality that uses the advantages of the spatial resolution of ultrasound imaging and the high contrast of pure optical imaging. Analytical algorithms are usually employed to…

信号处理 · 电气工程与系统科学 2018-02-27 Moein Mozaffarzadeh , Ali Mahloojifar , Mohammadreza Nasiriavanaki , Mahdi Orooji

Multimode fiber imaging requires strict matching between measurement value and measurement matrix to achieve image reconstruction. However, in practical applications, the measurement matrix often cannot be obtained due to unknown system…

计算机视觉与模式识别 · 计算机科学 2025-10-28 Le Yang

In Inverse Synthetic Aperture Radar (ISAR), random missing entries of the received radar echo matrix deteriorate the imaging quality, compromising target distinction from the background. Compressive sensing techniques or matrix completion…

图像与视频处理 · 电气工程与系统科学 2025-07-15 Necmettin Bayar , Isin Erer , Deniz Kumlu

There is much recent interest in techniques to accelerate the data acquisition process in MRI by acquiring limited measurements. Often sophisticated reconstruction algorithms are deployed to maintain high image quality in such settings. In…

图像与视频处理 · 电气工程与系统科学 2022-05-20 Zhishen Huang , Saiprasad Ravishankar

Variational methods are widely applied to ill-posed inverse problems for they have the ability to embed prior knowledge about the solution. However, the level of performance of these methods significantly depends on a set of parameters,…

Modern reconstruction methods for magnetic resonance imaging (MRI) exploit the spatially varying sensitivity profiles of receive-coil arrays as additional source of information. This allows to reduce the number of time-consuming…

医学物理 · 物理学 2017-09-12 Martin Uecker

Suppose that we observe noisy linear measurements of an unknown signal that can be modeled as the sum of two component signals, each of which arises from a nonlinear sub-manifold of a high dimensional ambient space. We introduce SPIN, a…

信息论 · 计算机科学 2012-06-11 Chinmay Hegde , Richard G. Baraniuk

Solving inverse problems with iterative algorithms is popular, especially for large data. Due to time constraints, the number of possible iterations is usually limited, potentially affecting the achievable accuracy. Given an error one is…

数值分析 · 计算机科学 2018-02-16 Raja Giryes , Yonina C. Eldar , Alex M. Bronstein , Guillermo Sapiro

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

Deep learning has been successfully demonstrated in MRI reconstruction of accelerated acquisitions. However, its dependence on representative training data limits the application across different contrasts, anatomies, or image sizes. To…

信号处理 · 电气工程与系统科学 2019-09-20 Chaoping Zhang , Florian Dubost , Marleen de Bruijne , Stefan Klein , Dirk H. J. Poot

We propose a new compressive imaging method for reconstructing 2D or 3D objects from their scattered wave-field measurements. Our method relies on a novel, nonlinear measurement model that can account for the multiple scattering phenomenon,…

计算机视觉与模式识别 · 计算机科学 2016-10-07 Hsiou-Yuan Liu , Ulugbek S. Kamilov , Dehong Liu , Hassan Mansour , Petros T. Boufounos