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Fig. 7a. Two intermeshed patterns.
Fig. 7b. Three intermeshed patterns; circle area elements also shown.
Fig. 8a. Rectangular three-element pattern.
Fig. 8b. Hexagonal three-element pattern.
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Fig. 9a. Open barrier arrangements, Fig. 9b. Open barrier arrangements,
staggered. nonstazerered f bands).
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b. Triangular
Fig. 10. Preferred three-element origin arrangements.
half the triangles have one orientation and half are oriented 180° out of phase with the first set. From a practical point of view, ellipses (including circles) may be considered to fulfill the necessary conditions, although only 90.7% of the available area is covered when these are in the close-packed arrangement shown in Fig. 7b.
nonstaggered (bands).
Classification of Barriers
Closed and Open-Barrier Structures. It is possible to classify parallax barriers with respect to aperture boundaries. The apertures can either meet or not, and the barriers can then be called "open" or "closed," respectively. In the closed-structure type, each aperture is completely surrounded by barrier. Open-barrier structures consist of bands, either straight or staggered.
Three-element arrangements can utilize either open or closed-type barriers. In order to transform open barriers to the closed-barrier type, alternate image row areas must be staggered 180° with reference to the preceding row. Figure 8 illustrates the image plane arrangement for rectangles and hexagons to go with a closed-type barrier. See Fig. 7b for a similar arrangement for circles. Where rec
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July 1952 Journal of the SMPTE Vol. 59