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The parameter selection is crucial to regularization based image restoration methods. Generally speaking, a spatially fixed parameter for regularization item in the whole image does not perform well for both edge and smooth areas. A larger…

Image and Video Processing · Electrical Eng. & Systems 2021-04-07 Tingting Zhang , Jie Chen , Caiying Wu , Zhifei He , Tieyong Zeng , Qiyu Jin

This article addresses the image denoising problem in the situations of strong noise. We propose a dual sparse decomposition method. This method makes a sub-dictionary decomposition on the over-complete dictionary in the sparse…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Hong Sun , Chen-guang Liu , Cheng-wei Sang

Total variation (TV) regularization is popular in image restoration and reconstruction due to its ability to preserve image edges. To date, most research activities on TV models concentrate on image restoration from blurry and noisy…

Optimization and Control · Mathematics 2010-01-13 Yunhai Xiao , Junfeng Yang

The use of deep learning has successfully solved several problems in the field of medical imaging. Deep learning has been applied to the CT denoising problem successfully. However, the use of deep learning requires large amounts of data to…

Image and Video Processing · Electrical Eng. & Systems 2022-04-04 Mayank Patwari , Ralf Gutjahr , Rainer Raupach , Andreas Maier

Modelling statistical relationships beyond the conditional mean is crucial in many settings. Conditional density estimation (CDE) aims to learn the full conditional probability density from data. Though highly expressive, neural network…

Machine Learning · Statistics 2020-02-17 Jonas Rothfuss , Fabio Ferreira , Simon Boehm , Simon Walther , Maxim Ulrich , Tamim Asfour , Andreas Krause

The recent statistical theory of neural networks focuses on nonparametric denoising problems that treat randomness as additive noise. Variability in image classification datasets does, however, not originate from additive noise but from…

Statistics Theory · Mathematics 2025-08-19 Juntong Chen , Sophie Langer , Johannes Schmidt-Hieber

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transforms. Our key…

Applications · Statistics 2009-11-13 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Tensor completion is a technique of filling missing elements of the incomplete data tensors. It being actively studied based on the convex optimization scheme such as nuclear-norm minimization. When given data tensors include some noises,…

Computer Vision and Pattern Recognition · Computer Science 2018-01-11 Tatsuya Yokota , Hidekata Hontani

We propose a novel approach to video anomaly detection: we treat feature vectors extracted from videos as realizations of a random variable with a fixed distribution and model this distribution with a neural network. This lets us estimate…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Jakub Micorek , Horst Possegger , Dominik Narnhofer , Horst Bischof , Mateusz Kozinski

We propose two new variational models aimed to outperform the popular total variation (TV) model for image restoration with L$_2$ and L$_1$ fidelity terms. In particular, we introduce a space-variant generalization of the TV regularizer,…

Image and Video Processing · Electrical Eng. & Systems 2019-06-28 Alessandro Lanza , Serena Morigi , Monica Pragliola , Fiorella Sgallari

A deep convolutional neural network has been developed to denoise atomic-resolution TEM image datasets of nanoparticles acquired using direct electron counting detectors, for applications where the image signal is severely limited by shot…

We propose a data-dependent denoising procedure to restore noisy images. Different from existing denoising algorithms which search for patches from either the noisy image or a generic database, the new algorithm finds patches from a…

Computer Vision and Pattern Recognition · Computer Science 2015-06-22 Enming Luo , Stanley H. Chan , Truong Q. Nguyen

Overfitting is one of the most critical challenges in deep neural networks, and there are various types of regularization methods to improve generalization performance. Injecting noises to hidden units during training, e.g., dropout, is…

Machine Learning · Computer Science 2017-11-10 Hyeonwoo Noh , Tackgeun You , Jonghwan Mun , Bohyung Han

Given a set of image denoisers, each having a different denoising capability, is there a provably optimal way of combining these denoisers to produce an overall better result? An answer to this question is fundamental to designing an…

Computer Vision and Pattern Recognition · Computer Science 2019-03-01 Joon Hee Choi , Omar Elgendy , Stanley H. Chan

Image enhancement approaches often assume that the noise is signal independent, and approximate the degradation model as zero-mean additive Gaussian. However, this assumption does not hold for biomedical imaging systems where sensor-based…

Image and Video Processing · Electrical Eng. & Systems 2023-04-10 Calvin-Khang Ta , Abhishek Aich , Akash Gupta , Amit K. Roy-Chowdhury

Total Variation (TV) is an effective and popular prior model in the field of regularization-based image processing. This paper focuses on total variation for removing impulse noise in image restoration. This type of noise frequently arises…

Numerical Analysis · Computer Science 2018-12-31 Ganzhao Yuan , Bernard Ghanem

Though achieving excellent performance in some cases, current unsupervised learning methods for single image denoising usually have constraints in applications. In this paper, we propose a new approach which is more general and applicable…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Yutong Xie , Mingze Yuan , Bin Dong , Quanzheng Li

Supervised deep learning has become the method of choice for image denoising. It involves the training of neural networks on large datasets composed of pairs of noisy and clean images. However, the necessity of training data that are…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Sébastien Herbreteau , Michael Unser

This paper develops a new mathematical framework for denoising in blind two-dimensional (2D) super-resolution upon using the atomic norm. The framework denoises a signal that consists of a weighted sum of an unknown number of time-delayed…

Information Theory · Computer Science 2023-07-19 Mohamed A. Suliman , Wei Dai

Recent deep learning-based image denoising methods have shown impressive performance; however, many lack the flexibility to adjust the denoising strength based on the noise levels, camera settings, and user preferences. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Youngjin Oh , Junhyeong Kwon , Keuntek Lee , Nam Ik Cho
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