High Quality Content by WIKIPEDIA articles! In statistics, the Anscombe transform , named after Francis Anscombe, is a variance-stabilizing transformation that transforms a random variable with a Poisson distribution into one with an approximately Gaussian distribution. The Anscombe transform is widely used in photon-limited imaging where images naturally follow the Poisson law. The Anscombe transform is usually used to pre-process the data in order to have the noise of constant standard deviation so as to apply denoising algorithms in the extensively studied framework of Gaussian additive noise.For the Poisson distribution the mean m, and variance v, are not independent: m = v

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