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We make use of recent results from random matrix theory to identify a derived threshold, for isolating noise from image features. The procedure assumes the existence of a set of noisy images, where denoising can be carried out on individual…

Data Analysis, Statistics and Probability · Physics 2010-04-09 Gaurab Basu , Kaushik Ray , Prasanta K. Panigrahi

Image noise modeling is a long-standing problem with many applications in computer vision. Early attempts that propose simple models, such as signal-independent additive white Gaussian noise or the heteroscedastic Gaussian noise model…

Image and Video Processing · Electrical Eng. & Systems 2022-06-03 Ali Maleky , Shayan Kousha , Michael S. Brown , Marcus A. Brubaker

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.…

Image and Video Processing · Electrical Eng. & Systems 2021-10-28 Kwanyoung Kim , Jong Chul Ye

Image denoising is an important pre-processing step in medical image analysis. Different algorithms have been proposed in past three decades with varying denoising performances. More recently, having outperformed all conventional methods,…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Lovedeep Gondara

In this paper, the traditional model based variational method and learning based algorithms are naturally integrated to address mixed noise removal problem. To be different from single type noise (e.g. Gaussian) removal, it is a challenge…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Faqiang Wang , Haiyang Huang , Jun Liu

Ultrafast electron beam X-ray computed tomography produces noisy data due to short measurement times, causing reconstruction artifacts and limiting overall image quality. To counteract these issues, two self-supervised deep learning methods…

Machine Learning · Computer Science 2025-11-24 Israt Jahan Tulin , Sebastian Starke , Dominic Windisch , André Bieberle , Peter Steinbach

Blind image denoising is an important yet very challenging problem in computer vision due to the complicated acquisition process of real images. In this work we propose a new variational inference method, which integrates both noise…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng

In this work we introduce a novel stochastic algorithm dubbed SNIPS, which draws samples from the posterior distribution of any linear inverse problem, where the observation is assumed to be contaminated by additive white Gaussian noise.…

Image and Video Processing · Electrical Eng. & Systems 2021-11-11 Bahjat Kawar , Gregory Vaksman , Michael Elad

Noisy images are a challenge to image compression algorithms due to the inherent difficulty of compressing noise. As noise cannot easily be discerned from image details, such as high-frequency signals, its presence leads to extra bits…

Image and Video Processing · Electrical Eng. & Systems 2024-02-09 Yuxin Xie , Li Yu , Farhad Pakdaman , Moncef Gabbouj

Image denoising is a fundamental task in low-level computer vision. While recent deep learning-based image denoising methods have achieved impressive performance, they are black-box models and the underlying denoising principle remains…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Jingwei Niu , Jun Cheng , Shan Tan

The problem of restoration of digital images from their degraded measurements plays a central role in a multitude of practically important applications. A particularly challenging instance of this problem occurs in the case when the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Oleg Michailovich

Recent denoising algorithms based on the "blind-spot" strategy show impressive blind image denoising performances, without utilizing any external dataset. While the methods excel in recovering highly contaminated images, we observe that…

Image and Video Processing · Electrical Eng. & Systems 2022-04-07 Chaewon Kim , Jaeho Lee , Jinwoo Shin

This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is based on total (gradient) variation regularization. We show…

Numerical Analysis · Mathematics 2025-07-08 Yohann De Castro , Vincent Duval , Romain Petit

We consider the simultaneous deblurring of a set of noisy images whose point spread functions are different but known and spatially invariant, and the noise is Gaussian. Currently available iterative algorithms that are typically used for…

Astrophysics · Physics 2009-11-10 R. Vio , J. Nagy , L. Tenorio , W. Wamsteker

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…

Optimization and Control · Mathematics 2015-08-13 Albert Oh , Rebecca Willett

In this paper, we denoise a given noisy image by minimizing a smoothness promoting function over a set of local similarity measures which compare the mean of the given image and some candidate image on a large collection of subboxes. The…

Optimization and Control · Mathematics 2024-06-24 Christian Kanzow , Fabius Krämer , Patrick Mehlitz , Gerd Wachsmuth , Frank Werner

Group sparsity has shown great potential in various low-level vision tasks (e.g, image denoising, deblurring and inpainting). In this paper, we propose a new prior model for image denoising via group sparsity residual constraint (GSRC). To…

Computer Vision and Pattern Recognition · Computer Science 2017-03-06 Zhiyuan Zha , Xin Liu , Ziheng Zhou , Xiaohua Huang , Jingang Shi , Zhenhong Shang , Lan Tang , Yechao Bai , Qiong Wang , Xinggan Zhang

In the previous blind deconvolution methods, de-blurred images can be obtained by using the edge or pixel information. However, the existing edge-based methods did not take advantage of edge information in ommi-directions, but only used…

Computer Vision and Pattern Recognition · Computer Science 2019-05-06 Trung Dung Do , Xuenan Cui , Thi Hai Binh Nguyen , Hakil Kim , Van Huan Nguyen

Convolutional neural networks (CNNs) have shown outstanding performance on image denoising with the help of large-scale datasets. Earlier methods naively trained a single CNN with many pairs of clean-noisy images. However, the conditional…

Image and Video Processing · Electrical Eng. & Systems 2021-04-05 Jae Woong Soh , Nam Ik Cho

The remarkable results for denoising in computer vision using diffusion models given in \cite{SDWMG,HJA,HHG} yield a robust mathematical justification for algorithms based on crucial properties of a sequence of Gaussian independent $N(0,1)$…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 F. Alberto Grünbaum , Tondgi Xu
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