An omnidirectional visual system for creating perspective projection image data for display by processing image data transmitted by an omnidirectional camera using a hyperboloidal mirror, the system comprising a coordinate rotation processing section for rotating three-dimensional coordinates, which indicate each point of the perspective projection image data, by an angle of inclination of an optical axis of the hyperboloidal mirror along a direction opposite to a direction of the inclination of the optical axis of the hyperboloidal mirror with respect to a vertical axis, thereby obtaining new three-dimensional coordinates.