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Image processing based on local noise statistics

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TLDR
In this article, a function relating a noise statistic to pixel intensity values is applied to a plurality of pixels in the image, the function relating the noise statistic function to the pixel intensity value, and each pixel is processed with respect to its noise statistic value.
Abstract
Processing of a digital image includes applying a function to a plurality of pixels in the image, the function relating a noise statistic to pixel intensity values. By applying the noise statistic function, a noise statistic value is produced for each of the pixels. Each of the pixels is processed with respect to its noise statistic value.

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Citations
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References
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Generating replacement data values for an image region

TL;DR: In this paper, a region is healed by propagating values in a boundary region into replacement data values for the selected image region by iteratively applying a procedure or algorithm, such that values in the boundary region are continuously put back into the iterative calculations.
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TL;DR: In this article, a method of spatially filtering a digital image includes selecting a pixel of interest in the source digital image, calculating two or more noise free pixel estimates for the pixel of interests using pixel values sampled in a local region about the pixel, and selecting a final noise-free pixel estimate from the estimated pixel estimates, and repeating for other pixels in the image to provide a spatially filtered digital image.
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Method for the temporal filtering of the noise in an image of a sequence of digital images, and device for carrying out this method

TL;DR: In this article, a method for temporal filtering of noise in an image of a sequence of digital images, formed as from a first instant (to) until a last instant (t), with pixels having intensity values which correspond to each instant and are referred to as samples, includes an evaluation, for a given pixel, of a temporally filtered sample (Pt p) of the last instant by means of a first linear combination of the filtered sample(Pt-1 c) of each instant but one whereto a first weight (W1) has been assigned, modulated by
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