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Deep Learning based methods have emerged as the indisputable leaders for virtually all image restoration tasks. Especially in the domain of microscopy images, various content-aware image restoration (CARE) approaches are now used to improve…

计算机视觉与模式识别 · 计算机科学 2021-03-02 Mangal Prakash , Alexander Krull , Florian Jug

Deep neural networks provide state-of-the-art performance for image denoising, where the goal is to recover a near noise-free image from a noisy observation. The underlying principle is that neural networks trained on large datasets have…

信息论 · 计算机科学 2019-04-09 Reinhard Heckel , Wen Huang , Paul Hand , Vladislav Voroninski

In this paper, we propose a so-called probabilistic non-local means (PNLM) method for image denoising. Our main contributions are: 1) we point out defects of the weight function used in the classic NLM; 2) we successfully derive all…

计算机视觉与模式识别 · 计算机科学 2013-05-21 Yue Wu , Brian Tracey , Premkumar Natarajan , Joseph P. Noonan

We introduce a unified framework based on bi-level optimization schemes to deal with parameter learning in the context of image processing. The goal is to identify the optimal regularizer within a family depending on a parameter in a…

偏微分方程分析 · 数学 2022-09-15 Elisa Davoli , Rita Ferreira , Carolin Kreisbeck , Hidde Schönberger

Most image deblurring methods assume an over-simplistic image formation model and as a result are sensitive to more realistic image degradations. We propose a novel variational framework, that explicitly handles pixel saturation, noise,…

计算机视觉与模式识别 · 计算机科学 2018-06-05 Jérémy Anger , Mauricio Delbracio , Gabriele Facciolo

In image denoising problems, one widely-adopted approach is to minimize a regularized data-fit objective function, where the data-fit term is derived from a physical image acquisition model. Typically the regularizer is selected with two…

最优化与控制 · 数学 2015-08-13 Albert Oh , Rebecca Willett

The first step when solving an infinite-dimensional eigenvalue problem is often to discretize it. We show that one must be extremely careful when discretizing nonlinear eigenvalue problems. Using examples, we show that discretization can:…

数值分析 · 数学 2023-05-04 Matthew J. Colbrook , Alex Townsend

In this letter, we propose a novel image denoising method based on correlation preserving sparse coding. Because the instable and unreliable correlations among basis set can limit the performance of the dictionary-driven denoising methods,…

计算机视觉与模式识别 · 计算机科学 2016-12-26 Rui Chen , Huizhu Jia , Xiaodong Xie , Wen Gao

This paper develops a quantitative framework for analyzing the mean-square exponential stabilization of stochastic linear systems with multiplicative noise, focusing specifically on the optimal stabilizing rate, which characterizes the…

最优化与控制 · 数学 2025-12-15 Hui Jia , Yuan-Hua Ni , Guangchen Wang

Image denoising has recently taken a leap forward due to machine learning. However, image denoisers, both expert-based and learning-based, are mostly tested on well-behaved generated noises (usually Gaussian) rather than on real-life…

图像与视频处理 · 电气工程与系统科学 2020-04-29 Florian Lemarchand , Eduardo Fernandes Montesuma , Maxime Pelcat , Erwan Nogues

We consider the problem of estimating a low-rank matrix from a noisy observed matrix. Previous work has shown that the optimal method depends crucially on the choice of loss function. In this paper, we use a family of weighted loss…

统计理论 · 数学 2021-04-08 William Leeb

Recent works on plug-and-play image restoration have shown that a denoiser can implicitly serve as the image prior for model-based methods to solve many inverse problems. Such a property induces considerable advantages for plug-and-play…

图像与视频处理 · 电气工程与系统科学 2021-07-14 Kai Zhang , Yawei Li , Wangmeng Zuo , Lei Zhang , Luc Van Gool , Radu Timofte

The technological advance of High Numerical Aperture Extreme Ultraviolet Lithography (High NA EUVL) has opened the gates to extensive researches on thinner photoresists (below 30nm), necessary for the industrial implementation of High NA…

计算机视觉与模式识别 · 计算机科学 2023-10-24 Sara Sacchi , Bappaditya Dey , Iacopo Mochi , Sandip Halder , Philippe Leray

Recently, there has been extensive research interest in training deep networks to denoise images without clean reference. However, the representative approaches such as Noise2Noise, Noise2Void, Stein's unbiased risk estimator (SURE), etc.…

图像与视频处理 · 电气工程与系统科学 2021-10-28 Kwanyoung Kim , Jong Chul Ye

Image denoising is a fundamental challenge in computer vision, with applications in photography and medical imaging. While deep learning-based methods have shown remarkable success, their reliance on specific noise distributions limits…

计算机视觉与模式识别 · 计算机科学 2025-08-28 Dongjin Kim , Jaekyun Ko , Muhammad Kashif Ali , Tae Hyun Kim

This paper investigates the signal detection problem in colored noise with an unknown covariance matrix. In particular, we focus on detecting an unknown non-random signal by capitalizing on the leading eigenvalue of the whitened sample…

信号处理 · 电气工程与系统科学 2024-02-01 Prathapasinghe Dharmawansa , Saman Atapattu , Jamie Evans , Kandeepan Sithamparanathan

This paper proposes a new technique based on nonlinear Adaptive Median filter (AMF) for image restoration. Image denoising is a common procedure in digital image processing aiming at the removal of noise, which may corrupt an image during…

计算机视觉与模式识别 · 计算机科学 2010-04-28 T. K. Thivakaran , RM. Chandrasekaran

Calculation of the log-normalizer is a major computational obstacle in applications of log-linear models with large output spaces. The problem of fast normalizer computation has therefore attracted significant attention in the theoretical…

机器学习 · 统计学 2015-06-19 Jacob Andreas , Maxim Rabinovich , Dan Klein , Michael I. Jordan

Uncertainty estimation for unlabeled data is crucial to active learning. With a deep neural network employed as the backbone model, the data selection process is highly challenging due to the potential over-confidence of the model…

机器学习 · 计算机科学 2024-02-14 Xingjian Li , Pengkun Yang , Yangcheng Gu , Xueying Zhan , Tianyang Wang , Min Xu , Chengzhong Xu

The Kaczmarz algorithm is an iterative method to reconstruct an unknown vector $f$ from inner products $\langle f , \varphi_{n} \rangle $. We consider the problem of how additive noise affects the reconstruction under the assumption that…

泛函分析 · 数学 2019-06-21 Caleb Camrud , Evan Camrud , Lee Przybylski , Eric S. Weber