1. A display control apparatus for displaying on a display unit an enlarged image of video content, the display unit having a number of pixels greater than a number of pixels of the video content, the display control apparatus comprising: an analyzer configured to analyze, by extracting a plurality of frame images from the video content which are stored in a storage and enlarging them in the horizontal direction and the vertical direction, the plurality of the enlarged images corresponding to the plurality of frame images by decomposing them and obtains image characteristics relating to the spatial frequency components; a number-of-pixels determining unit configured to determine a number of display pixels of the enlarged image so that the degree of deterioration of the image characteristic relating to the spatial frequency components analyzed by the analyzer satisfies a predetermined deterioration determination criterion; and a pixel converter configured to perform pixel conversion of the image of the video content to generate the enlarged image, the enlarged image having the number of display pixels determined by the number-of-pixels determining unit, and to output the enlarged image to the display unit; and a controller configured to control storage and playback of the video content, wherein the analyzer repeats the analyzing process of the image characteristic of the enlarged image which is enlarged in the horizontal direction and the vertical direction by incrementally increasing analysis accuracy, by increasing the number of the frame images for analyzing in accordance with the time course, wherein the number-of-pixels determining unit sequentially determines the number of display pixels corresponding to the analysis accuracy at each increment so that the degree of deterioration of the image characteristic analyzed by the analyzer satisfies the predetermined deterioration determination criterion, and wherein, upon receipt of an instruction to play the stored video content, the controller controls the pixel converter to convert the number of pixels of the video content into the number of display pixels determined by the number-of-pixels determining unit at the time the instruction has been received.