Projective transformation fitting

Question

Given set of points in 3D ( X = (x1, x2, x3), Y = (y1, y2, y3) ), how can I fit transformation from X to Y?

As far as I know this is called projective transformati

Answer 1

Well. I found some useful information:

This transformation is non-linear and it is not possible to represent non-linear transformation with a matrix. There are some tricks such as using homogenous coordinates. but it doesn't make all non-linear transformations representable using matrices. However, approximating a nonlinear function by a linear function is possible.