Secrets of image denoising cuisine*

IF 16.3 1区数学 Q1 MATHEMATICS

Acta Numerica Pub Date : 2012-04-19 DOI:10.1017/S0962492912000062

M. Lebrun, M. Colom, A. Buades, J. Morel

引用次数: 182

Abstract

Digital images are matrices of equally spaced pixels, each containing a photon count. This photon count is a stochastic process due to the quantum nature of light. It follows that all images are noisy. Ever since digital images have existed, numerical methods have been proposed to improve the signal-to-noise ratio. Such ‘denoising’ methods require a noise model and an image model. It is relatively easy to obtain a noise model. As will be explained in the present paper, it is even possible to estimate it from a single noisy image.

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图像去噪料理的秘密*

数字图像是等距像素的矩阵，每个像素包含一个光子计数。由于光的量子特性，光子计数是一个随机过程。由此可见，所有图像都是有噪声的。自从数字图像出现以来，人们就提出了数值方法来提高信噪比。这种“去噪”方法需要一个噪声模型和一个图像模型。获得噪声模型相对容易。正如将在本文中解释的那样，甚至可以从单个噪声图像中估计它。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Numerica MATHEMATICS-

CiteScore

26.00

自引率

0.70%

发文量

期刊介绍： Acta Numerica stands as the preeminent mathematics journal, ranking highest in both Impact Factor and MCQ metrics. This annual journal features a collection of review articles that showcase survey papers authored by prominent researchers in numerical analysis, scientific computing, and computational mathematics. These papers deliver comprehensive overviews of recent advances, offering state-of-the-art techniques and analyses. Encompassing the entirety of numerical analysis, the articles are crafted in an accessible style, catering to researchers at all levels and serving as valuable teaching aids for advanced instruction. The broad subject areas covered include computational methods in linear algebra, optimization, ordinary and partial differential equations, approximation theory, stochastic analysis, nonlinear dynamical systems, as well as the application of computational techniques in science and engineering. Acta Numerica also delves into the mathematical theory underpinning numerical methods, making it a versatile and authoritative resource in the field of mathematics.