Journal of the Society of Motion Picture Engineers (1930-1949)

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R3 Fig. 2. Two-element barrier showing repeating "O" points. Fig. 3. Alternate viewing of same element by different "O" points. portion and the line of viewing. Proof is given in an article by C. S. Szegho.4 The width (B') separating the barrier strips can be determined from similar triangles to be: (2) In this case the distance B between barrier strip centers is 2B'. The question arises whether there are other points in addition to Oi and Or from which the same picture (i.e., left image seen by left eye and right image seen by right eye) can be viewed. As shown in Fig. 2, by projecting rays from the image through the apertures between barriers, using in turn different barrier spaces for a given image strip, one can obtain an alternating sequence of equally spaced Oi and Or points. Any combination of d and Or points, whether adjacent or nonadjacent, will fulfill the condition that one "O" point "sees" only one image set and the second "O" point sees the alternate image set. Figure 3 shows in more detail the relationship between these Sam H. Kaplan: Theory of Parallax Barriers 13