1. A method for reducing the artifacts of an incident digital image comprising pixels carrying information, comprising: determining, for certain pixels being considered from the image, displaced pixels, a displaced pixel associated with a pixel being considered being situated at a location that is displaced with respect to the location of the pixel being considered, determining a substitution information taking into account the variations between each piece of information carried by pixels situated at locations adjacent to the pixel being considered, and selectively replacing the pixel being considered 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.