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In this paper, we propose a Bayesian MAP estimator for solving the deconvolution problems when the observations are corrupted by Poisson noise. Towards this goal, a proper data fidelity term (log-likelihood) is introduced to reflect the…

应用统计 · 统计学 2011-03-14 François-Xavier Dupé , Jalal Fadili , Jean-Luc Starck

Deconvolution is a widely used strategy to mitigate the blurring and noisy degradation of hyperspectral images~(HSI) generated by the acquisition devices. This issue is usually addressed by solving an ill-posed inverse problem. While…

图像与视频处理 · 电气工程与系统科学 2023-05-03 Xiuheng Wang , Jie Chen , Cédric Richard

Noise in speckle-prone optical coherence tomography tends to obfuscate important details necessary for medical diagnosis. In this paper, a denoising approach that preserves disease characteristics on retinal optical coherence tomography…

计算机视觉与模式识别 · 计算机科学 2019-03-26 Max-Heinrich Laves , Sontje Ihler , Lüder Alexander Kahrs , Tobias Ortmaier

Recovering a high-quality image from noisy indirect measurements is an important problem with many applications. For such inverse problems, supervised deep convolutional neural network (CNN)-based denoising methods have shown strong…

图像与视频处理 · 电气工程与系统科学 2020-09-16 Allard A. Hendriksen , Daniel M. Pelt , K. Joost Batenburg

Plug-and-Play (PnP) methods have become standard tools for solving imaging inverse problems by replacing the intractable maximum a posteriori (MAP) denoiser with the MMSE one. While this mismatch has been widely treated as unavoidable,…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Kenta Vert , Giacomo Meanti , Scott Pesme , Michael Arbel , Julien Mairal

Image denoising is an important problem in low-level vision and serves as a critical module for many image recovery tasks. Anisotropic diffusion is a wide family of image denoising approaches with promising performance. However, traditional…

计算机视觉与模式识别 · 计算机科学 2026-01-01 Xinran Qin , Yuhui Quan , Ruotao Xu , Hui Ji

Hyperspectral (HS) images provide fine spectral resolution but have limited spatial resolution, whereas multispectral (MS) images capture finer spatial details but have fewer bands. HS-MS fusion aims to integrate HS and MS images to…

图像与视频处理 · 电气工程与系统科学 2025-11-12 Sagar Kumar , Unni V S , Kunal Narayan Chaudhury

We introduce a novel data-driven approach aimed at designing high-quality shape deformations based on a coarse localized input signal. Unlike previous data-driven methods that require a global shape encoding, we observe that…

图形学 · 计算机科学 2024-10-14 Ramana Sundararaman , Nicolas Donati , Simone Melzi , Etienne Corman , Maks Ovsjanikov

In this paper, we develop a class of block-coordinate Plug-and-Play (PnP) methods to address imaging inverse problems. The block-coordinate strategy is designed to reduce the high memory consumption arising in PnP methods that rely on…

最优化与控制 · 数学 2026-03-03 Federica Porta , Simone Rebegoldi , Andrea Sebastiani

Training deep neural networks has become a common approach for addressing image restoration problems. An alternative for training a "task-specific" network for each observation model is to use pretrained deep denoisers for imposing only the…

图像与视频处理 · 电气工程与系统科学 2024-04-16 Tomer Garber , Tom Tirer

Deep-learning-based hyperspectral image (HSI) restoration methods have gained great popularity for their remarkable performance but often demand expensive network retraining whenever the specifics of task changes. In this paper, we propose…

图像与视频处理 · 电气工程与系统科学 2022-09-20 Zeqiang Lai , Kaixuan Wei , Ying Fu

Deep neural networks (DNNs) have shown very promising results for various image restoration (IR) tasks. However, the design of network architectures remains a major challenging for achieving further improvements. While most existing…

计算机视觉与模式识别 · 计算机科学 2020-10-28 Weisheng Dong , Peiyao Wang , Wotao Yin , Guangming Shi , Fangfang Wu , Xiaotong Lu

This paper investigates the convergence properties and applications of the three-operator splitting method, also known as Davis-Yin splitting (DYS) method, integrated with extrapolation and Plug-and-Play (PnP) denoiser within a nonconvex…

数值分析 · 数学 2024-06-05 Zhongming Wu , Chaoyan Huang , Tieyong Zeng

We apply a Machine Learning technique known as Convolutional Denoising Autoencoder to denoise synthetic images of state-of-the-art radio telescopes, with the goal of detecting the faint, diffused radio sources predicted to characterise the…

天体物理仪器与方法 · 物理学 2021-11-03 Claudio Gheller , Franco Vazza

The reliable and accurate numerical approximation of the $p$-Laplacian is particularly challenging in the extreme regimes $p \to 1^{+}$ and $p \gg 1$, where the operator becomes either highly singular or strongly degenerate, often causing…

数值分析 · 数学 2026-05-28 Tianhao Hu , Guanglian Li , Fengru Wang , Yifeng Xu , Zhi Zhou

Although much research has been devoted to the problem of restoring Poissonian images, namely in the fields of medical and astronomical imaging, applying the state of the art regularizers (such as those based on wavelets or total variation)…

最优化与控制 · 数学 2009-05-01 Mario A. T. Figueiredo , Jose M. Bioucas-Dias

Denoising, the process of reducing random fluctuations in a signal to emphasize essential patterns, has been a fundamental problem of interest since the dawn of modern scientific inquiry. Recent denoising techniques, particularly in…

机器学习 · 计算机科学 2024-12-04 Peyman Milanfar , Mauricio Delbracio

Image restoration, including image denoising, super resolution, inpainting, and so on, is a well-studied problem in computer vision and image processing, as well as a test bed for low-level image modeling algorithms. In this work, we…

计算机视觉与模式识别 · 计算机科学 2016-08-31 Xiao-Jiao Mao , Chunhua Shen , Yu-Bin Yang

Plug-and-Play methods for image restoration are iterative algorithms that solve a variational problem to recover a clean image from a degraded observation. These algorithms are known to be flexible to changes of degradation and to perform…

图像与视频处理 · 电气工程与系统科学 2025-03-03 Marien Renaud , Julien Hermant , Nicolas Papadakis

Despite recent advances, developing general-purpose universal denoising and artifact-removal networks remains largely an open problem: Given fixed network weights, one inherently trades-off specialization at one task (e.g.,~removing Poisson…

计算机视觉与模式识别 · 计算机科学 2024-11-19 Kevin Zhang , Sakshum Kulshrestha , Christopher Metzler