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P3D Less Curious Math Tale
Regarding "Deep Math Tale".... Jim Crowell did some good investigative
work (thanks, Jim!) and said off-list:
>I think I've got Michael's observation about the constant relationship
>between stereobase and F-stop figured out (mostly). It comes about
because
>the equations John B. derived relating stereobase to on-film deviation
are
>virtually identical to the ones relating camera aperture to the
diameter of
>the circle of confusion (the depth-of-field equations), with stereobase
>being analogous to aperture (in mm., not the F-stop) & on-film
disparity
>analogous to the circle of confusion.
The Good Dr. T also said, on-list:
>You have just discovered that the formulas for the Depth of Field
>and the Stereoscopic Deviation are very similar. This is something
>that I discovered myself while "playing" with formulas (as you did)...
Dr. T then cites Lipton and Piper, which all adds up to our now having
multiple sources here that confirm that DOF and Base are similar enough
to have caused my observation.
Now, I have two routes to take. One is:
1. Get money.
2. Buy books:
Lenny Lipton's "Foundations of the Stereoscopic Cinema"
Charles Piper's "The Technical Pages".
Jac Ferwerda's "The World of 3D",
Herbert McKay's "Three Dimensional Photography"
3. Enter dark cave. Read. Ponder. Formulate. Emerge later, post
findings to P3D.
Or, the other route:
1. Throw all notes in garbage.
2. Delete email on stereo base.
3. Throw away shoes.
4. "Don't Worry, Shoot Happy"
And I thought optical science and geometry would yield the Holy Grail of
Stereo Base Math...What a world, what a world...
Michael "Lonesome Math Cowboy" Georgoff
Dontfigure, California
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