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From linear classifiers to neural networks, image classification has been a widely explored topic in mathematics, and many algorithms have proven to be effective classifiers. However, the most accurate classifiers typically have…

Machine Learning · Statistics 2017-06-30 Elizabeth Newman , Misha Kilmer , Lior Horesh

Image diffusion plays a fundamental role for the task of image denoising. Recently proposed trainable nonlinear reaction diffusion (TNRD) model defines a simple but very effective framework for image denoising. However, as the TNRD model is…

Computer Vision and Pattern Recognition · Computer Science 2017-02-27 Peng Qiao , Yong Dou , Wensen Feng , Yunjin Chen

As surrogate functions of $L_0$-norm, many nonconvex penalty functions have been proposed to enhance the sparse vector recovery. It is easy to extend these nonconvex penalty functions on singular values of a matrix to enhance low-rank…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Canyi Lu , Jinhui Tang , Shuicheng Yan , Zhouchen Lin

The image reconstruction process in medical imaging can be treated as solving an inverse problem. The inverse problem is usually solved using time-consuming iterative algorithms with sparsity or other constraints. Recently, deep neural…

Medical Physics · Physics 2021-10-29 Jingke Zhang , Qiong He , Congzhi Wang , Hongen Liao , Jianwen Luo

Low-resolution image representation is a special form of sparse representation that retains only low-frequency information while discarding high-frequency components. This property reduces storage and transmission costs and benefits various…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Chenglong Bao , Tongyao Pang , Zuowei Shen , Dihan Zheng , Yihang Zou

Deep convolutional neural networks (CNNs) for image denoising can effectively exploit rich hierarchical features and have achieved great success. However, many deep CNN-based denoising models equally utilize the hierarchical features of…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Wencong Wu , An Ge , Guannan Lv , Yuelong Xia , Yungang Zhang , Wen Xiong

Image restoration has been an extensively researched topic in numerous fields. With the advent of deep learning, a lot of the current algorithms were replaced by algorithms that are more flexible and robust. Deep networks have demonstrated…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Rohit Jena

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

In this article, we present a denoising algorithm to improve the interpretation and quality of scanning tunneling microscopy (STM) images. Given the high level of self-similarity of STM images, we propose a denoising algorithm by…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 João P. Oliveira , Ana Bragança , José Bioucas-Dias , Mário Figueiredo , Luís Alcácer , Jorge Morgado , Quirina Ferreira

This paper tackles the challenging problem of hyperspectral (HS) image denoising. Unlike existing deep learning-based methods usually adopting complicated network architectures or empirically stacking off-the-shelf modules to pursue…

Image and Video Processing · Electrical Eng. & Systems 2022-07-12 Jinhui Hou , Zhiyu Zhu , Hui Liu , Junhui Hou

In recent years, the nuclear norm minimization (NNM) problem has been attracting much attention in computer vision and machine learning. The NNM problem is capitalized on its convexity and it can be solved efficiently. The standard nuclear…

Computer Vision and Pattern Recognition · Computer Science 2014-05-26 Qi Xie , Deyu Meng , Shuhang Gu , Lei Zhang , Wangmeng Zuo , Xiangchu Feng , Zongben Xu

Image compression is a method to remove spatial redundancy between adjacent pixels and reconstruct a high-quality image. In the past few years, deep learning has gained huge attention from the research community and produced promising image…

Image and Video Processing · Electrical Eng. & Systems 2021-09-07 Khawar Islam , L. Minh Dang , Sujin Lee , Hyeonjoon Moon

Recent years have witnessed the great success of deep convolutional neural networks (CNNs) in image denoising. Albeit deeper network and larger model capacity generally benefit performance, it remains a challenging practical issue to train…

Image and Video Processing · Electrical Eng. & Systems 2020-10-26 Yali Peng , Yue Cao , Shigang Liu , Jian Yang , Wangmeng Zuo

Convolutional neural network (CNN)-based image denoising methods have been widely studied recently, because of their high-speed processing capability and good visual quality. However, most of the existing CNN-based denoisers learn the image…

Image and Video Processing · Electrical Eng. & Systems 2020-06-30 Rui Zhao , Kin-Man Lam , Daniel P. K. Lun

Recovering a low-rank signal matrix from its noisy observation, commonly known as matrix denoising, is a fundamental inverse problem in statistical signal processing. Matrix denoising methods are generally based on shrinkage or thresholding…

Methodology · Statistics 2017-01-23 Santosh Kumar Yadav , Rohit Sinha , Prabin Kumar Bora

Image denoising based on deep learning has witnessed significant advancements in recent years. However, existing deep learning methods lack quantitative control of the deviation or error on denoised images. The neural networks Self2Self is…

Instrumentation and Methods for Astrophysics · Physics 2025-02-25 Tie Liu , Yuhui Quan , Yingna Su , Yang Guo , Shu Liu , Haisheng Ji , Qi Hao , Yulong Gao , Yuxia Liu , Yikang Wang , Wenqing Sun , Mingde Ding

Filtering multi-dimensional images such as color images, color videos, multispectral images and magnetic resonance images is challenging in terms of both effectiveness and efficiency. Leveraging the nonlocal self-similarity (NLSS)…

Image and Video Processing · Electrical Eng. & Systems 2020-11-09 Zhaoming Kong , Xiaowei Yang , Lifang He

Instance segmentation for low-light imagery remains largely unexplored due to the challenges imposed by such conditions, for example shot noise due to low photon count, color distortions and reduced contrast. In this paper, we propose an…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Joanne Lin , Nantheera Anantrasirichai , David Bull

Owing to flexible architectures of deep convolutional neural networks (CNNs), CNNs are successfully used for image denoising. However, they suffer from the following drawbacks: (i) deep network architecture is very difficult to train. (ii)…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Chunwei Tian , Yong Xu , Lunke Fei , Junqian Wang , Jie Wen , Nan Luo

In this paper, we propose a new image denoising method, tailored to specific classes of images, assuming that a dataset of clean images of the same class is available. Similarly to the non-local means (NLM) algorithm, the proposed method…

Computer Vision and Pattern Recognition · Computer Science 2017-06-22 Milad Niknejad , Jose M. Bioucas-Dias , Mario A. T. Figueiredo