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The emergence of deep-learning-based methods to solve image-reconstruction problems has enabled a significant increase in reconstruction quality. Unfortunately, these new methods often lack reliability and explainability, and there is a…

图像与视频处理 · 电气工程与系统科学 2023-08-28 Alexis Goujon , Sebastian Neumayer , Pakshal Bohra , Stanislas Ducotterd , Michael Unser

In plug-and-play image restoration, the regularization is performed using powerful denoisers such as nonlocal means (NLM) or BM3D. This is done within the framework of alternating direction method of multipliers (ADMM), where the…

计算机视觉与模式识别 · 计算机科学 2019-01-21 Unni V. S. , Sanjay Ghosh , Kunal N. Chaudhury

Image restoration, the recovery of clean images from degraded measurements, has applications in various domains like surveillance, defense, and medical imaging. Despite achieving state-of-the-art (SOTA) restoration performance, existing…

计算机视觉与模式识别 · 计算机科学 2026-03-30 Shubhi Shukla , Pravin Nair

We propose a regularization scheme for image reconstruction that leverages the power of deep learning while hinging on classic sparsity-promoting models. Many deep-learning-based models are hard to interpret and cumbersome to analyze…

图像与视频处理 · 电气工程与系统科学 2024-07-10 Mehrsa Pourya , Sebastian Neumayer , Michael Unser

Regularization by denoising (RED) is an image reconstruction framework that uses an image denoiser as a prior. Recent work has shown the state-of-the-art performance of RED with learned denoisers corresponding to pre-trained convolutional…

图像与视频处理 · 电气工程与系统科学 2020-10-28 Jiaming Liu , Yu Sun , Cihat Eldeniz , Weijie Gan , Hongyu An , Ulugbek S. Kamilov

Plug-and-Play Priors (PnP) is a popular framework for solving imaging inverse problems by integrating learned priors in the form of denoisers trained to remove Gaussian noise from images. In standard PnP methods, the denoiser is applied…

图像与视频处理 · 电气工程与系统科学 2025-09-22 Edward P. Chandler , Shirin Shoushtari , Brendt Wohlberg , Ulugbek S. Kamilov

Existing physical model-based imaging methods for ultrasound elasticity reconstruction utilize fixed variational regularizers that may not be appropriate for the application of interest or may not capture complex spatial prior information…

图像与视频处理 · 电气工程与系统科学 2021-03-29 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

Plug-and-play (PnP) is a non-convex framework that combines ADMM or other proximal algorithms with advanced denoiser priors. Recently, PnP has achieved great empirical success, especially with the integration of deep learning-based…

图像与视频处理 · 电气工程与系统科学 2020-11-19 Kaixuan Wei , Angelica Aviles-Rivero , Jingwei Liang , Ying Fu , Carola-Bibiane Schönlieb , Hua Huang

FISTA is a popular convex optimisation algorithm which is known to converge at an optimal rate whenever a minimiser is contained in a suitable Hilbert space. We propose a modified algorithm where each iteration is performed in a subset…

最优化与控制 · 数学 2022-10-06 Antonin Chambolle , Robert Tovey

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step scheme. First, one trains the often neural network-based…

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

In the context of linear inverse problems, we propose and study a general iterative regularization method allowing to consider large classes of regularizers and data-fit terms. The algorithm we propose is based on a primal-dual diagonal…

最优化与控制 · 数学 2017-08-04 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

Event cameras are novel bio-inspired sensors that measure per-pixel brightness differences asynchronously. Recovering brightness from events is appealing since the reconstructed images inherit the high dynamic range (HDR) and high-speed…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Zelin Zhang , Anthony Yezzi , Guillermo Gallego

Inverse problems are essential to imaging applications. In this paper, we propose a model-based deep learning network, named FISTA-Net, by combining the merits of interpretability and generality of the model-based Fast Iterative…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Jinxi Xiang , Yonggui Dong , Yunjie Yang

Recent developments in deep learning have revolutionized the paradigm of image restoration. However, its applications on real image denoising are still limited, due to its sensitivity to training data and the complex nature of real image…

计算机视觉与模式识别 · 计算机科学 2019-05-06 Jin Zeng , Jiahao Pang , Wenxiu Sun , Gene Cheung

Plug-and-play priors (PnP) is a broadly applicable methodology for solving inverse problems by exploiting statistical priors specified as denoisers. Recent work has reported the state-of-the-art performance of PnP algorithms using…

机器学习 · 计算机科学 2021-01-25 Yu Sun , Zihui Wu , Xiaojian Xu , Brendt Wohlberg , Ulugbek S. Kamilov

Inverse problems consist of recovering a signal from a collection of noisy measurements. These problems can often be cast as feasibility problems; however, additional regularization is typically necessary to ensure accurate and stable…

机器学习 · 计算机科学 2021-04-30 Howard Heaton , Samy Wu Fung , Aviv Gibali , Wotao Yin

In this paper, we propose an efficient numerical scheme for solving some large scale ill-posed linear inverse problems arising from image restoration. In order to accelerate the computation, two different hidden structures are exploited.…

数值分析 · 数学 2024-12-20 Zixuan Chen , James Nagy , Yuanzhe Xi , Bo Yu

Denoising filters, such as bilateral, guided, and total variation filters, applied to images on general graphs may require repeated application if noise is not small enough. We formulate two acceleration techniques of the resulted…

计算机视觉与模式识别 · 计算机科学 2017-01-09 Andrew Knyazev , Alexander Malyshev

The spatial resolution of images of living samples obtained by fluorescence microscopes is physically limited due to the diffraction of visible light, which makes the study of entities of size less than the diffraction barrier (around 200…

图像与视频处理 · 电气工程与系统科学 2023-03-21 Vasiliki Stergiopoulou , Subhadip Mukherjee , Luca Calatroni , Laure Blanc-Féraud