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Neural networks are highly effective tools for image reconstruction problems such as denoising and compressive sensing. To date, neural networks for image reconstruction are almost exclusively convolutional. The most popular architecture is…

Computer Vision and Pattern Recognition · Computer Science 2022-02-07 Youssef Mansour , Kang Lin , Reinhard Heckel

Image deraining is a typical low-level image restoration task, which aims at decomposing the rainy image into two distinguishable layers: the clean image layer and the rain layer. Most of the existing learning-based deraining methods are…

Computer Vision and Pattern Recognition · Computer Science 2022-11-02 Yuntong Ye , Changfeng Yu , Yi Chang , Lin Zhu , Xile Zhao , Luxin Yan , Yonghong Tian

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

We consider the problem of reconstructing a discrete-time signal (sequence) with continuous-valued components corrupted by a known memoryless channel. When performance is measured using a per-symbol loss function satisfying mild regularity…

Information Theory · Computer Science 2008-07-23 Kamakshi Sivaramakrishnan , Tsachy Weissman

Image denoising is a fundamental operation in image processing and holds considerable practical importance for various real-world applications. Arguably several thousands of papers are dedicated to image denoising. In the past decade,…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Wensen Feng , Peng Qiao , Xuanyang Xi , Yunjin Chen

The `Signal plus Noise' model for nonparametric regression can be extended to the case of observations taken at the vertices of a graph. This model includes many familiar regression problems. This article discusses the use of the edges of a…

Methodology · Statistics 2009-11-11 Arne Kovac , Andrew D. A. C. Smith

This paper presents a novel non-local part-aware deep neural network to denoise point clouds by exploring the inherent non-local self-similarity in 3D objects and scenes. Different from existing works that explore small local patches, we…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Chao Huang , Ruihui Li , Xianzhi Li , Chi-Wing Fu

Since the Lipschitz properties of convolutional neural networks (CNNs) are widely considered to be related to adversarial robustness, we theoretically characterize the $\ell_1$ norm and $\ell_\infty$ norm of 2D multi-channel convolutional…

Machine Learning · Computer Science 2021-08-17 Youwei Liang , Dong Huang

Diffusion- and flow-based models usually allocate compute uniformly across space, updating all patches with the same timestep and number of function evaluations. While convenient, this ignores the heterogeneity of natural images: some…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Johannes Schusterbauer , Ming Gui , Yusong Li , Pingchuan Ma , Felix Krause , Björn Ommer

Deep Convolutional Neural Networks (CNNs) have been successfully used in many low-level vision problems like image denoising. Although the conditional image generation techniques have led to large improvements in this task, there has been…

Image and Video Processing · Electrical Eng. & Systems 2020-03-10 Ioannis Marras , Grigorios G. Chrysos , Ioannis Alexiou , Gregory Slabaugh , Stefanos Zafeiriou

This work proposes a learning-based statistical refinement method for improving the denoising results of a given denoiser without knowing the precise noise distribution or accessing clean images or calibration data. While there are many…

Machine Learning · Computer Science 2026-05-07 Rihuan Ke

The density deconvolution problem involves recovering a target density g from a sample that has been corrupted by noise. From the perspective of Le Cam's local asymptotic normality theory, we show that non-parametric density deconvolution…

Statistics Theory · Mathematics 2015-07-06 Stefan Wager

Deep learning based image segmentation methods have achieved great success, even having human-level accuracy in some applications. However, due to the black box nature of deep learning, the best method may fail in some situations. Thus…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Leixin Zhou , Wenxiang Deng , Xiaodong Wu

A new image denoising algorithm to deal with the Poisson noise model is given, which is based on the idea of Non-Local Mean. By using the "Oracle" concept, we establish a theorem to show that the Non-Local Means Filter can effectively deal…

Applications · Statistics 2013-09-18 Qiyu Jin , Ion Grama , Quansheng Liu

Supervised learning-based methods yield robust denoising results, yet they are inherently limited by the need for large-scale clean/noisy paired datasets. The use of unsupervised denoisers, on the other hand, necessitates a more detailed…

Image and Video Processing · Electrical Eng. & Systems 2021-11-30 Nahyun Kim , Donggon Jang , Sunhyeok Lee , Bomi Kim , Dae-Shik Kim

This paper aims to explore the evolution of image denoising in a pedagological way. We briefly review classical methods such as Fourier analysis and wavelet bases, highlighting the challenges they faced until the emergence of neural…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Jean-Eric Campagne

The vast work in Deep Learning (DL) has led to a leap in image denoising research. Most DL solutions for this task have chosen to put their efforts on the denoiser's architecture while maximizing distortion performance. However, distortion…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Guy Ohayon , Theo Adrai , Gregory Vaksman , Michael Elad , Peyman Milanfar

The development of neural networks has greatly improved the performance in various computer vision tasks. In the filed of image denoising, convolutional neural network based methods such as DnCNN break through the limits of classical…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Xiaoqi Ma

Recent studies on learning-based image denoising have achieved promising performance on various noise reduction tasks. Most of these deep denoisers are trained either under the supervision of clean references, or unsupervised on synthetic…

Image and Video Processing · Electrical Eng. & Systems 2021-03-30 Rui Zhao , Daniel P. K. Lun , Kin-Man Lam

When it comes to image compression in digital cameras, denoising is traditionally performed prior to compression. However, there are applications where image noise may be necessary to demonstrate the trustworthiness of the image, such as…

Image and Video Processing · Electrical Eng. & Systems 2022-09-07 Saeed Ranjbar Alvar , Mateen Ulhaq , Hyomin Choi , Ivan V. Bajić
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