Display apparatus for rear projection-type capable of detecting touch input and gesture input

The present invention relates to a display device. Display device according to an embodiment of the present invention, the first frame section while, has a first opacity, and the second during the frame period, the screen having a second transparency and a light source for outputting the output light for distance detection of an external object and including for the optical detection section for receiving a number Kwang from the outside object, based on the output light, and can Kwang, a first frame interval, for processing a touch input, and the second frame interval, a processor for processing the gesture input do. In the result, the touch input and the gesture input detection can be performed.