Given a U and V value, transform that to 3D coordinates

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 #1
I can't tell if it's any use, but there's a point-in-triangle algorithm near the bottom of this page:

http://homepages.borland.com/efg2lab/Library/Delphi/Graphics/Math.htm

And another:

http://www.blackpawn.com/texts/pointinpoly/default.html