A noise removal method includes receiving in a de-noising system multiple noisy copies of a target image; providing the noisy copies as input data to the de-noising system in a training phase, and determine a noise distribution for the plurality of noisy copies. The method further includes, for n stages of the de-noising system, transforming the input data into an output; reconstructing the output; and providing the reconstructed output as input data. The method may further include receiving a new image and generating a de-noised image based on the determined noise distribution.