A mobile terminal, comprising: a projector module configured to project an image for display on an external screen; and a camera configured to receive an input image of the image displayed on the external screen, the input image including a pointer located over the image and a shadow of the pointer; characterized by further comprising a controller configured: to obtain a distance between the pointer and the shadow of the pointer from the input image, recognize a touch by the pointer when the obtained distance is less than a threshold distance even when the distance between the pointer and the shadow of the pointer is not zero, and to not recognize the touch when the obtained distance is greater than the threshold distance; and cause displaying of text on the external screen when the obtained distance is greater than the threshold distance and less than a second threshold distance, the text indicating that a touch will be recognized when the distance between the pointer and the shadow of the pointer is less than the threshold distance, to project through the projector module a pointer cursor at the touch point, and to perform an operation corresponding to the recognized touch point. a projector module configured to project an image for display on an external screen; and a camera configured to receive an input image of the image displayed on the external screen, the input image including a pointer located over the image and a shadow of the pointer; characterized by further comprising a controller configured: to obtain a distance between the pointer and the shadow of the pointer from the input image, recognize a touch by the pointer when the obtained distance is less than a threshold distance even when the distance between the pointer and the shadow of the pointer is not zero, and to not recognize the touch when the obtained distance is greater than the threshold distance; and cause displaying of text on the external screen when the obtained distance is greater than the threshold distance and less than a second threshold distance, the text indicating that a touch will be recognized when the distance between the pointer and the shadow of the pointer is less than the threshold distance, to project through the projector module a pointer cursor at the touch point, and to perform an operation corresponding to the recognized touch point. to obtain a distance between the pointer and the shadow of the pointer from the input image, recognize a touch by the pointer when the obtained distance is less than a threshold distance even when the distance between the pointer and the shadow of the pointer is not zero, and to not recognize the touch when the obtained distance is greater than the threshold distance; and cause displaying of text on the external screen when the obtained distance is greater than the threshold distance and less than a second threshold distance, the text indicating that a touch will be recognized when the distance between the pointer and the shadow of the pointer is less than the threshold distance, to project through the projector module a pointer cursor at the touch point, and to perform an operation corresponding to the recognized touch point.