What about a special hat or hair ribbon with a reflector that tells the TV where your head is? Then it can create two images for each eye in the direction of the hat. You wouldn't need 64 different angles like the one in the article and could use existing 3D movie stock (2 images/angles per frame).
There may be a limit to the number of viewers, though, depending on how fancy the TV is, because each "beam" is custom-aimed per viewer.
Another approach is to repeat the "parallax zone" similar to the corduroy-like plastic 3D image stickers used on the cover of some children books. You'd only need two source images, not 64 with that also.
With those, you have to put your eyes into the right zone to see the 3D affect, but the zones are roughly 5 degrees apart. One might have to shift in their chair to be in the right zone.
For an over-simplification, the left image is seen at every odd number degree (35,37,39,41,...) and the right image is seen at every even degree number (36,38,40,42,...). If shift your head until the left eye is in an odd degree (say 41) and your right eye is in an even degree (say 42), then you can see the 3D image. If you move your head to 43/44 (left/right) you will be able to see it again. (At 42/43 would be seen reversed depth because the eye matches are swapped and noses would look like dimples.)
I imagine one's back would get tired of being in one spot for long, but if the zones are say 2 degrees or less apart, then one can alternate leaning to the left and then the right every 10 minutes or so in their chair to avoid getting stiff.
Source: http://rss.slashdot.org/~r/Slashdot/slashdotScience/~3/PXuaGV_y6IY/story01.htm
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