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One key ingredient of image restoration is to define a realistic prior on clean images to complete the missing information in the observation. State-of-the-art restoration methods rely on a neural network to encode this prior. Typical image…

图像与视频处理 · 电气工程与系统科学 2025-11-14 Marien Renaud , Eliot Guez , Arthur Leclaire , Nicolas Papadakis

This paper studies plug-and-play (PnP) Langevin sampling strategies for Bayesian inference in low-photon Poisson imaging problems, a challenging class of problems with significant applications in astronomy, medicine, and biology. PnP…

统计计算 · 统计学 2026-01-12 Teresa Klatzer , Savvas Melidonis , Marcelo Pereyra , Konstantinos C. Zygalakis

Recently, the degenerate preconditioned proximal point (PPP) method provides a unified and flexible framework for designing and analyzing operator-splitting algorithms such as Douglas-Rachford (DR). However, the degenerate PPP method…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Shuchang Zhang , Hui Zhang , Hongxia Wang

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…

计算机视觉与模式识别 · 计算机科学 2020-02-19 Rizwan Ahmad , Charles A. Bouman , Gregery T. Buzzard , Stanley Chan , Sizhou Liu , Edward T. Reehorst , Philip Schniter

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers

Snapshot compressive imaging (SCI) aims to capture the high-dimensional (usually 3D) images using a 2D sensor (detector) in a single snapshot. Though enjoying the advantages of low-bandwidth, low-power and low-cost, applying SCI to…

图像与视频处理 · 电气工程与系统科学 2020-07-21 Xin Yuan , Yang Liu , Jinli Suo , Qionghai Dai

Analyzing the worst-case performance of deep neural networks against input perturbations amounts to solving a large-scale non-convex optimization problem, for which several past works have proposed convex relaxations as a promising…

机器学习 · 计算机科学 2022-07-11 Shaoru Chen , Eric Wong , J. Zico Kolter , Mahyar Fazlyab

Hyperspectral images are typically composed of hundreds of narrow and contiguous spectral bands, each containing information regarding the material composition of the imaged scene. However, these images can be affected by various sources of…

计算机视觉与模式识别 · 计算机科学 2025-01-15 Shuo Li , Mehrdad Yaghoobi

Multi-dimensional images, such as color images and multi-spectral images, are highly correlated and contain abundant spatial and spectral information. However, real-world multi-dimensional images are usually corrupted by missing entries. By…

计算机视觉与模式识别 · 计算机科学 2020-05-05 Xi-Le Zhao , Wen-Hao Xu , Tai-Xiang Jiang , Yao Wang , Michael Ng

Near-field radar imaging systems are used in a wide range of applications such as concealed weapon detection and medical diagnosis. In this paper, we consider the problem of reconstructing the three-dimensional (3D) complex-valued…

图像与视频处理 · 电气工程与系统科学 2024-03-15 Okyanus Oral , Figen S. Oktem

Recently the field of inverse problems has seen a growing usage of mathematically only partially understood learned and non-learned priors. Based on first principles, we develop a projectional approach to inverse problems that addresses the…

机器学习 · 计算机科学 2019-08-07 Sören Dittmer , Peter Maass

This paper proposes a data-driven approach for constructing firmly nonexpansive operators. We demonstrate its applicability in Plug-and-Play (PnP) methods, where classical algorithms such as Forward-Backward splitting, Chambolle-Pock…

最优化与控制 · 数学 2025-10-29 Kristian Bredies , Jonathan Chirinos-Rodriguez , Emanuele Naldi

We propose a new approach for large-scale high-dynamic range computational imaging. Deep Neural Networks (DNNs) trained end-to-end can solve linear inverse imaging problems almost instantaneously. While unfolded architectures provide…

天体物理仪器与方法 · 物理学 2023-09-28 Amir Aghabiglou , Matthieu Terris , Adrian Jackson , Yves Wiaux

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

Video Snapshot compressive imaging (SCI) is a promising technique to capture high-speed videos, which transforms the imaging speed from the detector to mask modulating and only needs a single measurement to capture multiple frames. The…

图像与视频处理 · 电气工程与系统科学 2022-01-31 Zongliang Wu , Chengshuai Yang , Xiongfei Su , Xin Yuan

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

Plug-and-Play (PnP) algorithms are appealing alternatives to proximal algorithms when solving inverse imaging problems. By learning a Deep Neural Network (DNN) denoiser behaving as a proximal operator, one waives the computational…

图像与视频处理 · 电气工程与系统科学 2024-08-23 Matthieu Terris , Chao Tang , Adrian Jackson , 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

Plug-and-Play Priors (PnP) is a well-known class of methods for solving inverse problems in computational imaging. PnP methods combine physical forward models with learned prior models specified as image denoisers. A common issue with the…

图像与视频处理 · 电气工程与系统科学 2024-03-18 Edward P. Chandler , Shirin Shoushtari , Jiaming Liu , M. Salman Asif , Ulugbek S. Kamilov

Denoiser models have become powerful tools for inverse problems, enabling the use of pretrained networks to approximate the score of a smoothed prior distribution. These models are often used in heuristic iterative schemes aimed at solving…

机器学习 · 计算机科学 2025-11-20 Scott Pesme , Giacomo Meanti , Michael Arbel , Julien Mairal