Artifacts of an incident digital image including pixels carrying information are reduced by determining, for certain pixels being considered from the image, displaced pixels. A displaced pixel associated with a pixel being considered is situated at a location that is displaced with respect to the location of the pixel being considered. Substitution information is determined by taking into account the variations between each piece of information carried by pixels situated at locations adjacent to the pixel being considered. The pixel being considered is then selectively replaced by a substitution pixel equal to the displaced pixel or to a combination of the displaced pixel and the pixel being considered, depending on the value of the substitution information.