Abstract: A method for removing noise in the form of small black spots in a black and white raster picture, which includes the following steps: Generating a moving window of 5.times.5 picture elements having an inner window (R1) of nine and a surrounding outer window (R2) of sixteen picture elements; detecting for each such window whether there are more black picture elements in the inner window than a given threshold, or whether there is any connection between black picture elements in the inner window and the outer window; if this is true, leaving the inner window unchanged; otherwise, i.e. if there are less black picture elements in the inner window than the threshold, and if they are not connected to black picture elements in the outer window, making the inner window all white. Thus, isolated small black spots are eliminated without eroding edges or erasing very thin lines.