1. A method of calibrating a three-dimensional (3D) display including a plurality of display layers, the method comprising: controlling, for each of the plurality of display layers, the 3D display to display an associated first image on a display layer of the plurality of display layers, wherein the associated first image is a two-dimensional (2D) image and the associated first image is displayed on the 3D display; acquiring, for each of the plurality of display layers, an associated second image by controlling an image capturer to capture the displayed associated first image; calculating, for each of the plurality of display layers, a homography matrix between the display layer and an image plane of the image capturer, based on the associated first image and the associated second image; calculating, for each of the plurality of display layers, geometric relations of the display layer with respect to the image plane of the image capturer, based on the calculated homography matrix; and obtaining geometric relations among the plurality of display layers based on the geometric relations of each of the plurality of display layers.