Abstract: A method for converting from one display element density to a different display element density. In order to convert from one pixel density to a different density, each pixel in a particular position in a first pixel density must be associated with a pixel or pixels in a corresponding position in a different pixel density. The present invention tracks the cumulative pixel position error introduced for the conversion of each pixel from one input density to a different output density. By tracking a cumulative pixel conversion error, each subsequent pixel conversion is optimized based on the conversion of all prior pixels. In this manner, a more accurate pixel density conversion may be achieved regardless of mid-row density variations. Specifically, the present invention achieves an accuracy of a pixel position error of no more than one-half the distance between the centers of two adjacent output density pixels.