A method for modifying an input digital image having three color channels, to form a modified digital image suitable for use by an inkjet printer having reduced ink bleed artifacts comprising computing a transformed digital image containing at least a black color channel and a color dependent scale factor channel, computing a filtered black color channel using a convolution operation, and forming the modified digital image in response to the corresponding pixel values of the color dependent scale factor channel and the filtered black color channel, so that when the modified digital image is used to produce a printed image on an inkjet printer there are reduced ink bleed artifacts.