1. A display device comprising: a camera configured to capture an image and to recognize a first gesture of a user; and a controller configured to: extract a background image included in the captured image; set a direction of a user included in the captured image, based on an entity substantially perpendicular to or parallel with the ground, which is included in the extracted background image; correct the image such that the direction of the user is synchronized with the photographing direction of the camera; extract a second gesture of the user, included in the corrected image, wherein a first displacement corresponding to the first gesture and a second displacement corresponding to the second gesture is different based on a differentiation between the direction of the user and the photographing direction of the camera; and execute a function mapped to the second gesture.