We know that moments extract important features of a signal that has no redundancy. For example Zernike moment gives us rotation invariant data of a signal like image or Fourier gives us frequency of a signal to us.
- But what is the theory behind it?
- How a moment performs this?
- How basis function of a moment is designed?
I think it has roots in many different math theory but I can't find out a good source to know.