Problem about non-linear(high-order) Affine transformation

[snukny]

Hello there,

I am looking for some help to do the following:

Is there any function for non linear affine transformation in IPP?

I've got a affine transformation coefficients from one image to another image using grid image.

I used the grid intersection points position from each one to get coefficients.

Since the transformation is non-linear,however, the dimension of affine transformation coeffcients  is [2][9];

x'=a0 + a1*x + a2*y+a3*x*y+a4*x^2+a5*y^2+a6*x^2*y+a7*x*y^2+a8*x^3+a9*y^3
y'=b0 + b1*x + b2*y+b3*x*y+b4*x^2+b5*y^2+b6*x^2*y+b7*x*y^2+b8*x^3+b9*y^3

Thanks!
NYK