1. A method for displaying a perceived three-dimensional (3D) image, the method comprising: determining a viewing distance from a screen to a viewer; calculating an image pixel period based on the determined viewing distance without any change of a pattern period of a stereoscopic image filter; determining a color of at least one of pixels and sub-pixels for displaying a perceived 3D image based on the calculated image pixel period; and displaying the image based on the determined color, wherein the image pixel period is a period of pixel data of a part of a perceived 3D image that can be seen by one eye of the viewer at the determined viewing distance, the image pixel period is calculated based on the determined viewing distance, a distance between the display panel and the stereoscopic image filter, and the pattern period of the stereoscopic image filter, when the determined viewing distance is greater than a predetermined viewing distance, the image pixel period of the image is calculated to be less than a predetermined image pixel period corresponding to the predetermined viewing distance, and when the determined viewing distance is less than a predetermined viewing distance, the image pixel period of the image is calculated to be greater than the predetermined image pixel period corresponding to the predetermined viewing distance.