How can I apply a transformation on the regular grid as shown below? transformation has to be with respect to the center at the lower left hand corner whose coordinates are (xc, yc) which are not necessarily zero

[Walter Roberson]

This appears to be similar to http://uk.mathworks.com/matlabcentral/answers/265652-how-to-change-the-centre-of-transformation-mapping-in-polar-coordinate

Answer 1

[qilin guo]

It looks like that you need find a conformal map to this end. Please see: https://en.wikipedia.org/wiki/Conformal_map