2012
DOI: 10.1017/s0962492912000062
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Secrets of image denoising cuisine

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… Show more

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Cited by 177 publications
(113 citation statements)
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“…The various algorithms designed to solve this problem must rely on some prior knowledge about the model of the image, in order to differentiate it from the noise [18]. The vast majority of modern denoising algorithms are patch-based, frequencybased or a combination of the two.…”
Section: The Artifacts Of Denoising Algorithms and Their Interpretationmentioning
confidence: 99%
“…The various algorithms designed to solve this problem must rely on some prior knowledge about the model of the image, in order to differentiate it from the noise [18]. The vast majority of modern denoising algorithms are patch-based, frequencybased or a combination of the two.…”
Section: The Artifacts Of Denoising Algorithms and Their Interpretationmentioning
confidence: 99%
“…learning, nonparametric, or empirical Bayes' methods). Most recently, the latter approach has become very popular, mainly using patch-based methods that exploit both local and nonlocal redundancies or 'self-similarities' in the images (Lebrun et al, 2012). A patch-based algorithm denoises each pixel by using knowledge of (a) the patch surrounding it and (b) the probability density of all existing patches.…”
Section: Image Denoisingmentioning
confidence: 99%
“…Some methods are devoted to the denoising problem [5]- [8], while others propose a more general framework for the solution of image inverse problems [9], [10], including inpainting, deblurring and zooming. The work by Lebrun et al [7], [11] presents a thorough analysis of several recent restoration methods, revealing their common roots and their relationship with the Bayesian approach.…”
Section: Introductionmentioning
confidence: 99%