1. An image processing system comprising: a frequency conversion section that converts neighboring areas of each area in question into a plurality of frequency components, wherein the areas in question and the neighboring areas of the areas in question are included in an input image; a frequency component generation section that generates predetermined frequency components from the frequency components of each neighboring area obtained by the frequency conversion section; an enlarged image area generation section that generates an enlarged image area for each area in question, using (i) an image region which contains each area in question and which has a predetermined size and (ii) the predetermined frequency components generated by the frequency component generation section; and an enlarged image generation section that places the enlarged image areas generated by the enlarged image area generation section to generate an enlarged image for the input image.