This invention is comprised of a method for reducing random noise in a two-dimensional waveform having an irregular curvature includes the steps of selecting a plurality of points initially positioned at preselected locations on the waveform. For each point selected, the straight line is found which connects it to the midpoint between its neighboring points. A new location for the point is calculated to lie on the straight line a fraction of the distance between the initial location of the point and the midpoint. This process is repeated for each point positioned on the waveform. After a single iteration of the method is completed, the entire process is repeated a predetermined number of times to identify final calculated locations for the plurality of points selected. The final calculated locations of the points are then connected to form a relatively random noise-free waveform having a substantially smooth curvature.