The middle of line segments may be drawn on a computer display using an iterative method that reduces the number of calculations required. The process is repeated for each column. The first pixel is plotted according to a formula that allows the first pixel to best represent the location of the line in the column. A second pixel is then plotted either above, below, to the left of, or the right of the first pixel depending on the direction of the line. A normalized intensity value between 0 and 1.0 is then assigned to the first pixel according to the amount of area above, below, to the left of, or the right of the line in the first pixel depending on the direction of the line. This value may be assigned using a variable computed in plotting the first pixel. A normalized intensity value for the second pixel equal to 1.0 minus the normalized intensity value of the first pixel may then be assigned. Finally, the first and second pixels are shaded according to the normalized intensity values.