i would like to apply a single non-linear transformation to a set of points. For example (see attached) i have a set of points A,B,C... and i want to create a new set of points A',B',C'... where the x and y values of the new point are derived from the old points.
In particular (x,y) goes to ( e(x)cos(y) , e(x)sin(y) ).
( this is just the conformal map w=e(z) for complex numbers)
In the attached i defined each point one at a time. Is there a way to do this for a set of points ?