A display apparatus and an imaging apparatus constructed such that a high-resolution clear three-dimensional video image can be viewed from any direction. The display apparatus projects frame images, projected from a projector such as an electronic projector, to a video image projection surface of a three-dimensional screen through a polygonal mirror provided around the three-dimensional screen, thereby providing a polyhedral video image such as a three-dimensional image to a person viewing from around the video image projection surface. The three-dimensional screen has a view field angle limiting filter and a directional reflection screen. The view field angle filter limits the angle of a view field in the left/right direction, the angle being the angle of the projection on the video image projection surface (50) of the screen. The directional reflection screen has two sheets in horizontal and vertical directions. Furthermore, a projection light path between the electronic projector and the polygonal mirror is formed by refracting light through an auxiliary mirror.