204 and a distorted portion is projected in such a manner that an array of the lens array 207 coincides with the alignment to obtain a projection image 218 in which distortion was corrected and thereby it becomes possible to reproduce a stereoscopic image with high resolution and high image quality as shown in fig9 even in case that shifted projection images 219 a 219 b 219 c 219 d are realized since there is no distortion but an array of the convex lens array 207 and an array of the reproduction element image 209 are shifted spatially an actual projection area is set up in advance so as to be smaller than the number of pixels of the projection device 204 and a shifted portion is corrected in a direction which is opposite to a shift direction and projected in such a manner that an array of the convex lens array 207 coincides with the alignment to obtain a shift corrected projection image 220 and thereby it becomes possible to reproduce a stereoscopic image with high resolution and high image quality in fig1 light which was emitted from the light source 201 is condensed by a condenser lens 221 and incident to a projection device 204 as projection means for controlling a shape of a projection image as the projection device 204 it is possible to use transmission type liquid crystal light which was incident to the projection device 204 is modulated by projection image information in an inside of the projection device 204 and image information is added thereto modulated light passes through a projection lens 205 and a projection angle is changed by a prism 222 and it is projected to an image forming screen 206 since the formed projection image becomes.