Question: The standard deviation ‘?’ at any point in image averaging: ??(x, y) = 1/?K ??(x, y), where ?(x, y) is the average image formed by averaging K different noisy images and ?(x, y) is the noise added to an original image f(x, y). What is the relation between K and the variability of the pixel values at each location (x, y)?

Options

A : Increase in K, decreases the noise of pixel values

B : Increase in K, increases the noise of pixel values

C : Decrease in K, decreases the noise of pixel values

D : Decrease in K, increases the noise of pixel values

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