Plot correlation values corresponding to a transformed meshgrided (X,Y) coordinates

Hello Everyone, I have a matrix 3x121 that contains (x,y, correlation value), First, I do a meshgrid of (x,y), then a transformation of (x,y) meshgrided into new coordinates (x',y') with x'=y/x and y'=1/x^2*y.

I have to plot the correlation according to the new coordinates (x',y') showed in the attached screen shot.

Here is the code that I used:

   load('correlation_xy_0.mat');
   x = double(corr_xy(1,:,:));
   y = double(corr_xy(2,:,:));
   correlation = double(corr_xy(3,:,:));

   [X,Y] = meshgrid(x,y);
   Xp = Y./X;
   Yp = 1./(X.^2 .*Y);

   plot(Xp,Yp,'Color',correlation)

Thank you