1. A rasterizer for converting vectors in a data list representing sample magnitudes of an input waveform into anti-aliased pixel illumination intensity data to be displayed on a display means comprising: (a) means for determining a vertical distance between the endpoints of each of the vectors in the data list; (b) means for determining an elevation of a row of pixels that is spanned by the vector; (c) means for normalizing the vertical distance and elevation; and (d) means for outputting illumination intensity data as a predetermined function of the normalized vertical distance and elevation.