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In a retinal scanning display an image of a light source is scanned over the retina and at the same time modulated in intensity to form an image. To attain a retinal image most resembling the corresponding original image, the resolution of the modulating graphics board must be at least twice the maximum optical resolution possible. This paper describes how this relationship, which is based on the theorem of Shannon, is derived and what differences in contrast can be observed between the horizontal and the vertical scanning direction. It appears that for a relatively large field of view the resolution of the graphics board is inadequate, so that the maximum optical resolution will have to be decreased.