2D interpolation with dependent variables

Hello,

I have a matrix E(Nx*Ny) that depends of the coordinates K(Nx*Ny) and I would like to interpolate E on new coordinates Ki(Nx*Ny).

K is not uniformly spaced (in both axis), and can not be expressed as a vector product of independent vectors.

Ki is uniformly spaced and can be expressed as a vector product of two vectors.

It seems that interp2 and scatteredInterpolant are not working in this case because both require a format with independant coordinates for the axis.

I already have something that works with interp1 and a loop on each Nx, but I would try to speed it up.

Is there a solution ? Thank you.