Does anyone have a way to do this?  Examples of Runyon profiles are on this
UK site:

http://members.aol.com/eastcoastwind/eastcoastwind/private/mouthpieces.htm

I wrote "Dave" at East Coast Winds and he said he would get some pictures
of his method to me.  Hasn't happened yet.  He did say in an Email that he
takes readings every 1 mm (probably into the chamber/bore).  I guess he
gets X,Y coordinates and plots them on a computer.  Sound like a good way
to go.

There are some expensive 3D digitizers out there, but I'm looking for a low
cost method.  I'd like to draw some of these before I sell them off.

I started experimenting with adapting an old Pantograph to draw the
profile.  I replaced the tracer pointer with a U-shaped probe that reaches
into the mouthpiece, but is still in line with the original tracer axis. 
The rig is kind of rickety, but I think I can work the bugs out.  Next I
need a better clamp to hold down the mouthpiece without getting in the way.

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Just a thought, to suggest holding the mouthpiece with a Rubber covered test 
tube holder and stand, such as is used in a chemistry lab.