A head-mounted display device for generating reconstructions of three-dimensional representations including a frame, in which at least one light source, at least one optical system and at least one encodable light modulator are situated, wherein the light modulator with an encoding of a wavefront of the three-dimensional representation in the encoding area is positioned at the place of an observer window defined in an observer plane or the light modulator with an encoding of a hologram of the wavefront of the three-dimensional representation in the encoding area is positioned in the region closely in front of the observer window for transforming the hologram into the observer window. When the light modulators are illuminated, complex wavefronts of the three-dimensional representation are situated in the observer window and the reconstruction of the three-dimensional representation is visible in a visual cone spanned by the observer window and the light modulator.