A display device includes an image acquisition module which has an image sensor and a first focal plane, which captures a picture of an object, and an observation module which images the object such that a user can perceive it with his eye. A second focal plane is set by the observation module and the accommodation state of the eye, and with a measuring module for measuring the accommodation state of the eye. A control unit adjusts the position of the first focal plane on the basis of the measured accommodation state such that it coincides with the second focal plane.