How to do Illustrator "Envelope Distort" in Rhino or GH?

Hello fellow GH3D Members,
                                        in Adobe Illustrator i've found i think the most accurate distortion tool called Envelope Distort. It allows a user to warp any shape\mesh within the boundary of another. It works especially well (predictably) when the source shape is 1st mapped to a rectangle prior to distorting.
 Please let me know,.

1) ..how to perform an equivalent Env. Distort in Rhino and\or GH?

Appreciate any help or suggestions, and i've uploaded an example screenshot of AI's Env.Distort, let me know if more illustrations needed.
Thanks much again,
Jeff