Homography perspective transformation

The Homography transformation (or perspective transformation)

Couldn't find in Rhino and Grasshopper required instruments or commands, so wrote my own.

Small C# script computes a new point coordinates, perfoming a projective transformation.
Transformation requires two flat quadrilateral of which we take the coordinates of the corners. The first quadrilateral means the area that need to transform, the second - an area in which perfoms the transform. By moving corners of the second quadrilateral - we made the transformation.

INPUT PARAMETERS
The main functional element - highlighted with white node with a C# script.
"Tin" and "Tout" - for quadrangles corners,
"Pin" - points that need to be transformed.

USAGE
You can set 4 points manually for each quadrilateral and send them to the inputs of "Tin" and "Tout".
Or you can use your own rectangle, extract the coordinates of 4 corners, send them to the input of "Tin", bake them and immediately set these points from Rhino window to input "Tout". This method I implemented, the necessary blocks are marked in green and pink: the block "BAKE IT" and "SET MULTIPLE POINTS".
The script can operate only with the points, so if you want to transform curve - you need to convert it into points and then re-assemble.
For convenience, the second quadrilateral marked by a dotted line.