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Denoising Images with Poisson Noise Statistics

Triet Le
Rick Chartrand
Thomas J. Asaki
Comparison of ROF model with our model

An important task in mathematical image processing is image denoising. Many image denoising algorithms assume that the noise is normally distributed and additive. Many images, such as those from radiography, contain noise that satisfies a Poisson distribution. The magnitude of Poisson noise varies across the image, as it depends on the image intensity. This makes removing such noise very difficult. We use Bayes's Law to develop a new denoising algorithm, which removes Poisson noise while preserving image features that other methods remove.