Image Processing Reference
where and are 2 × 2 matrix formed by Fourier coeicients
on some fixed index k and U * is the U complex conjugate.
Computation of the shift value l 0
where k 1 and k 2 are two fixed index and arg( U ) is the complex argument of U .
Computation of the matrix A 's parameters
are going to estimate affine matrix A parameters. Lets O 1 , O 2 be two curves and U f , U h , respect-
Using matrix, we have the following formula:
So we have to estimate a 1 , a 2 , a 3 , and a 4 . This system can be represented as following: