Method and system for robust universal denoising of noisy data sets

An electronic-computer-based image-denoising-system comprising:

• an electronic computer;
• and
• a control program that directs the electronic computer to denoise an input noisy image z by
• computing, by the electronic computer, a prefiltered image y from the noisy image z;
• collecting, by the electronic computer, bias statistics for each prediction class representing one or more contexts within each conditioning class in a context-by-context analysis of the noisy image z;
• collecting, by the electronic computer, prediction-error distributions in a context-by-context analysis of the noisy image z in which prediction-errors yi−{tilde over (x)}i are used to generate prediction-error vectors e′k that are added to prediction-error-statistics vectors ek;
• generating, by the electronic computer, normalized and smoothed prediction-error probability distributions {circumflex over (P)}E for each conditioning class;
• and
• computing, by the electronic computer, for each noisy-image pixel zi an estimated clean-image symbol xi by minimizing a computed distortion over all possible symbols a0-aM−1 of alphabet A and storing xi in a computer-readable memory for subsequent display and/or output to a user.