I was away from the computer (where creative ideas often happen) when it occurred to me that a NURBS curve can be drawn between end points through a midpoint and a pair of points on either side of it. The curves used earlier are not needed. Height of the three “middle points” is one of two parameters that determine shape. The other is distance from midpoint to the points on either side.
First draft is more complex than I would like so I’ll sleep on it before posting. Here is a comparison:
Version ‘Sep7d’: (as posted five hours ago)
Version ‘Sep7e’: (using NURBS curves)

