1. A method of calibrating a three-dimensional (3D) display comprising a plurality of display layers, the method comprising: controlling the 3D display to display a first image on a single display layer; acquiring a second image by controlling an image capturer to capture the displayed first image; calculating a homography between the single display layer and an image plane of the image capturer, based on the first image and the second image; and calculating geometric relations of the single display layer with respect to the image plane of the the image capturer, based on the calculated homography, wherein geometric relations among the plurality of display layers are obtained based on geometric relations of each of the plurality of display layers with respect to the image plane of the image capturer, by performing the controlling, the acquiring, the calculating of the homography, and the calculating of the geometric relations, with respect to each of the plurality of display layers of the 3D display.