This is related to an earlier posting I made in povray.general, at:
http://news.povray.org/povray.general/thread/%3Cweb.442a6fe16260549766ffc7a50%40news.povray.org%3E/

I am including an implementation of my solution to the problem here, along
with some videos demonstrating it.

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Attachments:
Download 'findaffine.zip' (170 KB)