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In this letter, we note that the denoising performance of Non-Local Means (NLM) at large noise levels can be improved by replacing the mean by the Euclidean median. We call this new denoising algorithm the Non-Local Euclidean Medians…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Kunal N. Chaudhury , Amit Singer

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

Low rank matrix approximation (LRMA), which aims to recover the underlying low rank matrix from its degraded observation, has a wide range of applications in computer vision. The latest LRMA methods resort to using the nuclear norm…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Yuan Xie , Shuhang Gu , Yan Liu , Wangmeng Zuo , Wensheng Zhang , Lei Zhang

Image restoration is a low-level vision task which is to restore degraded images to noise-free images. With the success of deep neural networks, the convolutional neural networks surpass the traditional restoration methods and become the…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Chi-Mao Fan , Tsung-Jung Liu , Kuan-Hsien Liu

Recently, low-rank matrix recovery theory has been emerging as a significant progress for various image processing problems. Meanwhile, the group sparse coding (GSC) theory has led to great successes in image restoration (IR) problem with…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Yunyi Li , Guan Gui , Xiefeng Cheng

In this paper, we tackle for the first time the problem of maximum likelihood (ML) estimation of the signal-to-noise ratio (SNR) parameter over time-varying single-input multiple-output (SIMO) channels. Both the data-aided (DA) and the…

Applications · Statistics 2014-11-19 Faouzi Bellili , Rabii Meftehi , Sofiene Affes , Alex Stephenne

Image denoising is a prerequisite for downstream tasks in many fields. Low-dose and photon-counting computed tomography (CT) denoising can optimize diagnostic performance at minimized radiation dose. Supervised deep denoising methods are…

Machine Learning · Computer Science 2022-01-06 Chuang Niu , Mengzhou Li , Fenglei Fan , Weiwen Wu , Xiaodong Guo , Qing Lyu , Ge Wang

In this paper we study the computation of the nonparametric maximum likelihood estimator (NPMLE) in multivariate mixture models. Our first approach discretizes this infinite dimensional convex optimization problem by fixing the support…

Methodology · Statistics 2024-02-20 Yangjing Zhang , Ying Cui , Bodhisattva Sen , Kim-Chuan Toh

Brillouin imaging suffers from intrinsically low signal-to-noise ratios (SNR). Such low SNRs can render common data analysis protocols unreliable, especially for SNRs below $\sim10$. In this work we exploit two denoising algorithms, namely…

Signal Processing · Electrical Eng. & Systems 2020-01-24 YuChen Xiang , Matthew R. Foreman , Peter Török

In plug-and-play image restoration, the regularization is performed using powerful denoisers such as nonlocal means (NLM) or BM3D. This is done within the framework of alternating direction method of multipliers (ADMM), where the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Unni V. S. , Sanjay Ghosh , Kunal N. Chaudhury

Plug-and-Play (PnP) algorithms are a class of iterative algorithms that address image inverse problems by combining a physical model and a deep neural network for regularization. Even if they produce impressive image restoration results,…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Marien Renaud , Jean Prost , Arthur Leclaire , Nicolas Papadakis

Single-molecule localization microscopy techniques, like stochastic optical reconstruction microscopy (STORM), visualize biological specimens by stochastically exciting sparse blinking emitters. The raw images suffer from unwanted…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Patris Valera , Josué Page Vizcaíno , Tobias Lasser

Recently, the application of low rank minimization to image denoising has shown remarkable denoising results which are equivalent or better than those of the existing state-of-the-art algorithms. However, due to iterative nature of low rank…

Computer Vision and Pattern Recognition · Computer Science 2015-04-27 Zahid Hussain Shamsi , Hyun Sook Oh , Dai-Gyoung Kim

Blind image deblurring is a long standing challenging problem in image processing and low-level vision. Recently, sophisticated priors such as dark channel prior, extreme channel prior, and local maximum gradient prior, have shown promising…

Image and Video Processing · Electrical Eng. & Systems 2020-10-30 Fei Wen , Rendong Ying , Yipeng Liu , Peilin Liu , Trieu-Kien Truong

We address the denoising of images contaminated with multiplicative noise, e.g. speckle noise. Classical ways to solve such problems are filtering, statistical (Bayesian) methods, variational methods, and methods that convert the…

Optimization and Control · Mathematics 2008-12-10 Sylvain Durand , Jalal Fadili , Mila Nikolova

In image denoising (IDN) processing, the low-rank property is usually considered as an important image prior. As a convex relaxation approximation of low rank, nuclear norm based algorithms and their variants have attracted significant…

Image and Video Processing · Electrical Eng. & Systems 2020-04-03 Yanwei Zhao , Ping Yang , Qiu Guan , Jianwei Zheng , Wanliang Wang

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

In machine learning approach to image denoising a network is trained to recover a clean image from a noisy one. In this paper a novel structure is proposed based on training multiple specialized networks as opposed to existing structures…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Seyed Mohsen Hosseini

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) denoising. Unfortunately, with more spectral bands for HSI, while the running time of these methods significantly…

Computer Vision and Pattern Recognition · Computer Science 2019-03-28 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao

We present an ultra-fast, precise, parameter-free method, which we term Deep-STORM, for obtaining super-resolution images from stochastically-blinking emitters, such as fluorescent molecules used for localization microscopy. Deep-STORM uses…

Optics · Physics 2018-05-03 Elias Nehme , Lucien E. Weiss , Tomer Michaeli , Yoav Shechtman
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