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Nonlocal filters are simple and powerful techniques for image denoising. In this paper, we give new insights into the analysis of one kind of them, the Neighborhood filter, by using a classical although not very common transformation: the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Gonzalo Galiano , Julián Velasco

The efficiency of the Non-Local means (NLM) image denoising algorithm relies on the identification of similar original pixels from noisy similar patches. Hence fine details and low-contrasted structures are badly recovered after the…

Functional Analysis · Mathematics 2013-11-18 Simon Postec , Jacques Froment , Béatrice Vedel

This paper describes a simple image noise removal method which combines a preprocessing step with the Yaroslavsky filter for strong numerical, visual, and theoretical performance on a broad class of images. The framework developed is a…

Computer Vision and Pattern Recognition · Computer Science 2015-03-20 Joseph Salmon , Rebecca Willett , Ery Arias-Castro

During the acquisition of an image from its source, noise always becomes an integral part of it. Various algorithms have been used in past to denoise the images. Image denoising still has scope for improvement. Visual information…

Image and Video Processing · Electrical Eng. & Systems 2019-09-17 Santosh Paudel , Ajay Kumar Shrestha , Pradip Singh Maharjan , Rameshwar Rijal

Nowadays, many applications rely on images of high quality to ensure good performance in conducting their tasks. However, noise goes against this objective as it is an unavoidable issue in most applications. Therefore, it is essential to…

Computer Vision and Pattern Recognition · Computer Science 2017-04-20 Ahmed Ben Said , Rachid Hadjidj , Kamel Eddine Melkemi , Sebti Foufou

To denoise a reference patch, the Non-Local-Means denoising filter processes a set of neighbor patches. Few Nearest Neighbors (NN) are used to limit the computational burden of the algorithm. Here here we show analytically that the NN…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Iuri Frosio , Jan Kautz

In Non-Local Means (NLM), each pixel is denoised by performing a weighted averaging of its neighboring pixels, where the weights are computed using image patches. We demonstrate that the denoising performance of NLM can be improved by…

Computer Vision and Pattern Recognition · Computer Science 2017-02-17 Sanjay Ghosh , Amit K. Mandal , Kunal N. Chaudhury

Image denoising is a classical signal processing problem that has received significant interest within the image processing community during the past two decades. Most of the algorithms for image denoising has focused on the paradigm of…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Varuna De Silva

The bilateral filter is a useful nonlinear filter which without smoothing edges, it does spatial averaging. In the literature, the effectiveness of this method for image denoising is shown. In this paper, an extension of this method is…

Computer Vision and Pattern Recognition · Computer Science 2017-02-07 Seyede Mahya Hazavei , Hamid Reza Shahdoosti

Sparse representation of images under certain transform domain has been playing a fundamental role in image restoration tasks. One such representative method is the widely used wavelet tight frame systems. Instead of adopting fixed filters…

Computer Vision and Pattern Recognition · Computer Science 2016-03-02 Dai-Qiang Chen

With the advent of sophisticated cameras, the urge to capture high-quality images has grown enormous. However, the noise contamination of the images results in substandard expectations among the people; thus, image denoising is an essential…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Kelum Gajamannage , Yonggi Park , S. M. Mallikarjunaiah , Sunil Mathur

The acquisition of MRI images offers a trade-off in terms of acquisition time, spatial/temporal resolution and signal-to-noise ratio (SNR). Thus, for instance, increasing the time efficiency of MRI often comes at the expense of reduced SNR.…

Computer Vision and Pattern Recognition · Computer Science 2011-10-28 Sudipto Dolui , Alan Kuurstra , Iván C. Salgado Patarroyo , Oleg V. Michailovich

The details of an image with noise may be restored by removing noise through a suitable image de-noising method. In this research, a new method of image de-noising based on using median filter (MF) in the wavelet domain is proposed and…

Multimedia · Computer Science 2017-03-21 Afrah Ramadhan , Firas Mahmood , Atilla Elci

The advancement of imaging devices and countless image data generated everyday impose an increasingly high demand on efficient and effective image denoising. In this paper, we present a computationally simple denoising algorithm, termed…

Image and Video Processing · Electrical Eng. & Systems 2025-08-15 Zhaoming Kong , Jiahuan Zhang , Xiaowei Yang

The bilateral and nonlocal means filters are instances of kernel-based filters that are popularly used in image processing. It was recently shown that fast and accurate bilateral filtering of grayscale images can be performed using a…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Pravin Nair , Kunal N. Chaudhury

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

It was recently demonstrated [J. Electron. Imaging, 25(2), 2016] that one can perform fast non-local means (NLM) denoising of one-dimensional signals using a method called lifting. The cost of lifting is independent of the patch length,…

Computer Vision and Pattern Recognition · Computer Science 2018-03-14 Sanjay Ghosh , Kunal N. Chaudhury

We consider the problem of recovering of continuous multi-dimensional functions from the noisy observations over the regular grid. Our focus is at the adaptive estimation in the case when the function can be well recovered using a linear…

Statistics Theory · Mathematics 2009-03-06 Anatoli Iouditski , Arkadii S. Nemirovski

The analysis of the time-frequency content of a signal is a classical problem in signal processing, with a broad number of applications in real life. Many different approaches have been developed over the decades, which provide alternative…

Numerical Analysis · Mathematics 2022-06-02 Antonio Cicone , Wing Suet Li , Haomin Zhou

A new multiscale implementation of non-local means filtering for image denoising is proposed. The proposed algorithm also introduces a modification of similarity measure for patch comparison. The standard Euclidean norm is replaced by…

Computer Vision and Pattern Recognition · Computer Science 2013-04-04 Zahid Hussain Shamsi , Dai-Gyoung Kim
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