[Closed] Connect vertives – clean mesh as a result?

do those poly objects originally start as spline shapes ? and if so would you mind posting them up ?

Sometimes the poly objects are created from splines.
Here is the same scene(max2016) with the initial splines: https://drive.google.com/file/d/14eDmMQpg88bCo4QT92_67Id2l_U2ivcQ/view?usp=sharing

I have managed to partially solve the task by using this workflow:

1. use Subdivide modifier to create some edges
2. remove all edges which do not connect any verts pairs I need
3. remove all verts which do not belongs to the initial verts
4. repeat 1-3 again to add some more edges.
5. • now I have some verts connected, so I am using poly.ConnectVertices and/or polyop.cutVerts to connect the rest of the verts.

For now this approach works as I want. It is not the fastest and the smartest, but it works.