A method of operating a direct-to-object printer adjusts a pixel density of a portion of contone image data for an image to be printed on a surface of a tapered object. The contone image data is also filtered with a stochastic halftone filer to produce binary image data for the image to be printed on the tapered object. The adjustment in the pixel density for the portion of the image to be printed on the portion of the object having a circumference that is different than another portion of the surface at the uppermost portion of the image produces a more uniform appearance in the resulting printed image.