In driving a vehicle, if the information which is needed to drive can be displayed like Augmented Reality (AR), driver operates the vehicle effectively. For example, it is efficient to display the images indicating an intersection where the vehicle should turn next. Unlike conventional AR system such as using See Through Head Mounted Display, Head Up Display (HUD) which is currently used on vehicle for displaying speed meter, tachometer and so on, can display the
optical virtual images for long distance view and covers large viewing field. But it is difficult to apply HUD into AR
because of narrow viewing field. To optimize this, we propose a system in which HUD is divided up many small optical
systems. A convex lens array and elemental images which are similarly to Integral Photography (IP) were applied. One
elemental image has been corresponding in front of each lens which generates the virtual image. In this paper, a
theoretical formula of the position relation among the elemental images was solved to create the continuous virtual
images. Moreover, we simulated the system with ray tracing method.