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We propose a set of iterative regularization algorithms for the TV-Stokes model to restore images from noisy images with Gaussian noise. These are some extensions of the iterative regularization algorithm proposed for the classical…

Numerical Analysis · Mathematics 2020-09-28 Bin Wu , Leszek Marcinkowski , Xue-Cheng Tai , Talal Rahman

When taking photos in dim-light environments, due to the small amount of light entering, the shot images are usually extremely dark, with a great deal of noise, and the color cannot reflect real-world color. Under this condition, the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Di Zhao , Lan Ma , Songnan Li , Dahai Yu

The inversion of linear systems is a fundamental step in many inverse problems. Computational challenges exist when trying to invert large linear systems, where limited computing resources mean that only part of the system can be kept in…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Yushan Gao , Thomas Blumensath

Convolutional Neural Network is good at image classification. However, it is found to be vulnerable to image quality degradation. Even a small amount of distortion such as noise or blur can severely hamper the performance of these CNN…

Computer Vision and Pattern Recognition · Computer Science 2020-08-07 Md Tahmid Hossain , Shyh Wei Teng , Dengsheng Zhang , Suryani Lim , Guojun Lu

Image deblurring, a.k.a. image deconvolution, recovers a clear image from pixel superposition caused by blur degradation. Few deep convolutional neural networks (CNN) succeed in addressing this task. In this paper, we first demonstrate that…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Li Si-Yao , Dongwei Ren , Furong Zhao , Zijian Hu , Junfeng Li , Qian Yin

All-in-one image restoration seeks to recover high-quality images from various types of degradation using a single model, without prior knowledge of the corruption source. However, existing methods often struggle to effectively and…

Image and Video Processing · Electrical Eng. & Systems 2025-03-25 Jiachen Jiang , Tianyu Ding , Ke Zhang , Jinxin Zhou , Tianyi Chen , Ilya Zharkov , Zhihui Zhu , Luming Liang

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

We propose a simple method for estimating noise level from a single color image. In most image-denoising algorithms, an accurate noise-level estimate results in good denoising performance; however, it is difficult to estimate noise level…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Akihiro Nakamura , Michihiro Kobayashi

All-in-one image restoration has emerged as a practical and promising low-level vision task for real-world applications. In this context, the key issue lies in how to deal with different types of degraded images simultaneously. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Xiaole Tang , Xiang Gu , Xiaoyi He , Xin Hu , Jian Sun

Lossy compression brings artifacts into the compressed image and degrades the visual quality. In recent years, many compression artifacts removal methods based on convolutional neural network (CNN) have been developed with great success.…

Image and Video Processing · Electrical Eng. & Systems 2020-10-22 Jianwei Li , Yongtao Wang , Haihua Xie , Kai-Kuang Ma

Convolutional Neural Networks (CNNs) achieve state-of-the-art performance in many computer vision tasks. However, this achievement is preceded by extreme manual annotation in order to perform either training from scratch or fine-tuning for…

Computer Vision and Pattern Recognition · Computer Science 2016-09-08 Filip Radenović , Giorgos Tolias , Ondřej Chum

The principal rank-one (RO) components of an image represent the self-similarity of the image, which is an important property for image restoration. However, the RO components of a corrupted image could be decimated by the procedure of…

Image and Video Processing · Electrical Eng. & Systems 2021-07-20 Shangqi Gao , Xiahai Zhuang

The multichannel trigonometric reconstruction from uniform samples was proposed recently. It not only makes use of multichannel information about the signal but is also capable to generate various kinds of interpolation formulas according…

Classical Analysis and ODEs · Mathematics 2024-12-20 Dong Cheng , Kit Ian Kou

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

This article studies the problem of image restoration of observed images corrupted by impulse noise and mixed Gaussian impulse noise. Since the pixels damaged by impulse noise contain no information about the true image, how to find this…

Optimization and Control · Mathematics 2014-07-30 Ming Yan

We investigate a novel approach for image restoration by reinforcement learning. Unlike existing studies that mostly train a single large network for a specialized task, we prepare a toolbox consisting of small-scale convolutional networks…

Computer Vision and Pattern Recognition · Computer Science 2018-04-11 Ke Yu , Chao Dong , Liang Lin , Chen Change Loy

Data quality plays a central role in the performance and robustness of convolutional neural networks (CNNs) for image classification. While high-quality data is often preferred for training, real-world inputs are frequently affected by…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Oscar H. Ramírez-Agudelo , Nicoleta Gorea , Aliza Reif , Lorenzo Bonasera , Michael Karl

This paper studies the problem of recovering a signal vector and the corrupted noise vector from a collection of corrupted linear measurements through the solution of a l1 minimization, where the sensing matrix is a partial Fourier matrix…

Information Theory · Computer Science 2016-01-25 Dongcai Su

In industrial vision, the anomaly detection problem can be addressed with an autoencoder trained to map an arbitrary image, i.e. with or without any defect, to a clean image, i.e. without any defect. In this approach, anomaly detection…

Image and Video Processing · Electrical Eng. & Systems 2020-11-05 Anne-Sophie Collin , Christophe De Vleeschouwer

The lack of large-scale noisy-clean image pairs restricts supervised denoising methods' deployment in actual applications. While existing unsupervised methods are able to learn image denoising without ground-truth clean images, they either…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Yi Zhang , Dasong Li , Ka Lung Law , Xiaogang Wang , Hongwei Qin , Hongsheng Li