How to use opencascade make this shape?

[kndpeng]

I want to achieve the effect. 2D surface with curves to 3d surface with curves. The pictures like below.
Anybody does has some ideas?

 

[Quaoar]

Is this face unwrapping in Rhino? The idea of precise unrolling for analytical faces has been described here: https://quaoar.su/blog/page/on-sheet-metal-unfolding-part-2

After that, @hello asked the same functionality but it is not yet published in open sources.