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The aim of this paper is twofold: In the first part, we leverage recent results on scenario design to develop randomized algorithmsfor approximating the image set of a nonlinear mapping, that is, a (possibly noisy) mapping of a set via a…

Optimization and Control · Mathematics 2015-07-30 Fabrizio Dabbene , Didier Henrion , Constantino Lagoa , Pavel Shcherbakov

We develop an unsupervised, nonparametric, and scalable statistical learning method for detection of unknown objects in noisy images. The method uses results from percolation theory and random graph theory. We present an algorithm that…

Statistics Theory · Mathematics 2018-07-16 Mikhail A. Langovoy , Olaf Wittich , Patrick Laurie Davies

Bias in image restoration algorithms can hamper further analysis, typically when the intensities have a physical meaning of interest, e.g., in medical imaging. We propose to suppress a part of the bias -- the method bias -- while leaving…

Statistics Theory · Mathematics 2016-08-08 Charles-Alban Deledalle , Nicolas Papadakis , Joseph Salmon

We propose a nonlinear filter for noise removal based on the Laplacian for 1D and 2D data. The method utilizes the solution to a fourth-order nonlinear PDE involving the Laplacian for data reconstruction. Evolution equations are introduced…

Numerical Analysis · Mathematics 2024-08-27 Nguyen S Hoang

Noise is a major issue while transferring images through all kinds of electronic communication. One of the most common noise in electronic communication is an impulse noise which is caused by unstable voltage. In this paper, the comparison…

Computer Vision and Pattern Recognition · Computer Science 2014-10-09 Suman Shrestha

In various Computer Vision and Signal Processing applications, noise is typically perceived as a drawback of the image capturing system that ought to be removed. We, on the other hand, claim that image noise, just as texture, is important…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Renata Khasanova , Jan Wassenberg , Jyrki Alakuijala

In this note, we introduce a new algorithm to deal with finite dimensional clustering with errors in variables. The design of this algorithm is based on recent theoretical advances (see Loustau (2013a,b)) in statistical learning with errors…

Machine Learning · Statistics 2013-08-16 Camille Brunet , Sébastien Loustau

Noisy labels can impair the performance of deep neural networks. To tackle this problem, in this paper, we propose a new method for filtering label noise. Unlike most existing methods relying on the posterior probability of a noisy…

Computer Vision and Pattern Recognition · Computer Science 2022-01-31 Pengxiang Wu , Songzhu Zheng , Mayank Goswami , Dimitris Metaxas , Chao Chen

Image denoising can remove natural noise that widely exists in images captured by multimedia devices due to low-quality imaging sensors, unstable image transmission processes, or low light conditions. Recent works also find that image…

Computer Vision and Pattern Recognition · Computer Science 2021-08-25 Yupeng Cheng , Qing Guo , Felix Juefei-Xu , Wei Feng , Shang-Wei Lin , Weisi Lin , Yang Liu

Non-blind image deconvolution has been studied for several decades but most of the existing work focuses on blur instead of noise. In photon-limited conditions, however, the excessive amount of shot noise makes traditional deconvolution…

Image and Video Processing · Electrical Eng. & Systems 2023-09-07 Abhiram Gnanasambandam , Yash Sanghvi , Stanley H. Chan

Image denoising has achieved unprecedented progress as great efforts have been made to exploit effective deep denoisers. To improve the denoising performance in realworld, two typical solutions are used in recent trends: devising better…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Yunhao Zou , Ying Fu

We propose a fully-convolutional neural-network architecture for image denoising which is simple yet powerful. Its structure allows to exploit the gradual nature of the denoising process, in which shallow layers handle local noise…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Tal Remez , Or Litany , Raja Giryes , Alex M. Bronstein

Fluorescence microscopy has enabled a dramatic development in modern biology. Due to its inherently weak signal, fluorescence microscopy is not only much noisier than photography, but also presented with Poisson-Gaussian noise where Poisson…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Yide Zhang , Yinhao Zhu , Evan Nichols , Qingfei Wang , Siyuan Zhang , Cody Smith , Scott Howard

Low-resolution and signal-dependent noise distribution in positron emission tomography (PET) images makes denoising process an inevitable step prior to qualitative and quantitative image analysis tasks. Conventional PET denoising methods…

Computer Vision and Pattern Recognition · Computer Science 2014-07-14 Awais Mansoor , Ulas Bagci , Daniel J. Mollura

The problem of reconstruction of digital images from their degraded measurements is regarded as a problem of central importance in various fields of engineering and imaging sciences. In such cases, the degradation is typically caused by the…

Computer Vision and Pattern Recognition · Computer Science 2010-01-06 E. Shaked , O. Michailovich

We consider minimizing a smooth and strongly convex objective function using a stochastic Newton method. At each iteration, the algorithm is given an oracle access to a stochastic estimate of the Hessian matrix. The oracle model includes…

Optimization and Control · Mathematics 2022-11-29 Sen Na , Michał Dereziński , Michael W. Mahoney

We propose a novel approach for density estimation called histogram trend filtering. Our estimator arises from looking at surrogate Poisson model for counts of observations in a partition of the support of the data. We begin by showing…

Methodology · Statistics 2016-02-09 Oscar Hernan Madrid Padilla , James G. Scott

This article suggests an algorithm of impulse noise filtration, based on the community detection in graphs. The image is representing as non-oriented weighted graph. Each pixel of an image is corresponding to a vertex of the graph.…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 S. V. Belim , S. B. Larionov

In low-visibility marine environments characterized by turbidity and darkness, acoustic cameras serve as visual sensors capable of generating high-resolution 2D sonar images. However, acoustic camera images are interfered with by complex…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Xiaoteng Zhou , Katsunori Mizuno , Yilong Zhang

We consider the inpainting problem for noisy images. It is very challenge to suppress noise when image inpainting is processed. An image patches based nonlocal variational method is proposed to simultaneously inpainting and denoising in…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Wei Wan , Jun Liu
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