1. A perspective projection image creation system, comprising: an optical system including a hyperboloidal mirror which has a hyperboloidal shape of one sheet of a two-sheeted hyperboloid; an imaging section receiving light concentrated by a lens opposed to the hyperboloidal mirror so as to create input image data; an image transformation section transforming input image data obtained by the imaging section into image data of a perspective projection having a projection center at a focal point of the hyperboloidal mirror; a scale model creation section transforming image data for an object in an object plane perpendicular to a line extending through a focal point of the hyperboloidal mirror into image data for a scale model of the object, based on a ratio of a distance between the focal point of the hyperboloidal mirror and the object plane to a distance between the focal point of the hyperboloidal mirror and a perspective projection image plane, such that a size of the scale model of the object corresponds to that of the object in a perspective projection image; an image combining section creating combined image data created by combining the perspective projection image data and the image data for the scale model; and a display section displaying the combined image data.