I haven't had to dig into this, but it's possible to make the hyperboloid while
specifying the foci, so I can't imagine the ellipsoid is any more difficult:
http://news.povray.org/povray.binaries.images/message/%3Cweb.591d8c269364765ac437ac910%40news.povray.org%3E/#%3Cweb.591
d8c269364765ac437ac910%40news.povray.org%3E
Looks like a Two-fer:
https://theinnerframe.wordpress.com/2016/08/01/quadrics/
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