Here is an example of one of my problems in pictures. I want to go between the red curves following the green curves. Sweep1 and Sweep2 don’t work because I need more than 2 curves to define the shape.
When I try NetworkSrf, I get the odd bowing on one side. Is there some way to get rid of that?
Since your red curves are kinked, Explode them and use Sweep2 with a pair of open green lines as rails and a pair of red curves as profiles. Join the 4 resulting open surfaces into an open polysurface.
I split each frame into four parts, as suggested. Now using Sweep2 I get bowing in the center, where there is no sweep guide.
The bowing is both vertical and horizontal so I cannot simply fill the gap with a box.
With NetworkSrf I get bowing around the corners as before.
Update: I have gotten it to work as 5 separate lofts, one for each curve segment, adding together, and capping. I have to believe there is a less tedious way.
In the attached, I joined the straight lines into one and simplified those. I then used EdgeSrf on all 4-curve boundaries to create the surfaces. Sweep2 or loft would also work.