Morph polysurface from curve base to curve objetive

Rhino Rhino for Windows
1

Hi all, I was wondering if somehow it would be possible in rhino to deform (morph) a polysurface from a curve base to fit another curve objective within my file tolerance and to adapt evenly.

I tried with flow along curve and flow along surface and the polysuface ends in a mess. I would expect this to work with more complex polysurfaces and with meshes, this is just a simple example.
Thanks in advance!

mess
mess1132×681 18.2 KB

morph polysurface from curve example.3dm (4.1 MB)

morph%20polysurface
morph%20polysurface1553×643 24.4 KB

2

Consider CageEdit. Note that the control object can be almost any surface or curve, in addition to the options available in CageEdit, or created using Cage.