1. A driving support apparatus comprising: an image taking module to take an image of an object of shooting; a display module to display the image taken by said image taking module; and a controlling module to calculate an optical flow of a mobile object when the mobile object is included in the object of shooting and, when the mobile object is hidden by another object and cannot be shot, to calculate a position of the mobile object based on an optical flow of the mobile object calculated before its being hidden and to control said display module to display the mobile object superimposed on the other object; and a notifying module to notify a driver of a potential for collision with a mobile object, wherein said controlling module detects the optical flow of said driving support apparatus and, when it is predicted that said driving support apparatus collides with the mobile object on the basis of the optical flow of the mobile object and the optical flow of said driving support apparatus, notifies the driver that said apparatus will collide with the mobile object through said notifying module.