I'm kind new in the Computed Tomography field and I'm trying to understand and implement ART technique. Said it, I started to read the book The Mathematics of Medical Imaging - A Beginners Guide by Timothy G. Feeman. In the chapter 9, author describes the ART method. Well, If I understood fine (correct me If I'm wrong, please), in ART we are just trying to solve this system: Ax=p. One approach to solve it is to use Kaczmarz method (I read it and it is ok to understand it).
Now, let's understand each variable in the equation above: x is the image matrix that I want to found. A is the projection matrix and p is the sinogram. Is this reasoning right? If yes, how I obtain A from p? Can anyone show me an example with some numbers? (Ex: let A = [...], p = [....], etc.) A very simple example for the sake of simplicity would be fine.
Thanks in advance, guys!