I have the equation of two 5th degree polynomials which they don`t intersect with each other .Each curve is made of 100 points and these two curves looks similar but there are small differences .I am looking for a transformation matrix/mathematical relation between these two curves to describes the mathematical relation between these two curves.
These two curves have been plotted in the following figure.
I am looking for for a transformation matrix between these two curves to map one curve based on another one.I would appreciate if you could help me with a MATLAB code or any mathematical solution to solve this problem .