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, wherein the enlarged image area generation section executes inverse wavelet transform for (i) the image region which contains each area in question and (ii) the predetermined frequency components generated by the frequency component generation section.