I have a $3 \times 3$ homography matrix $H$. It was computed the way so that I can multiply a point of my image ($1000 \times 1000$px with coordinates $0/0$ to $1000/1000$) e.g. $1/1$ and get the new position of that point e.g. $2/2$.
But I would like to have this homography matrix the way that I can multiply a point of my picture in centered form. Coordinates $-500/-500$ to $500/500$ instead of $0/0$ to $1000/1000$. So I want to multiply the point $-499/-499$ and get $-498/-498$.
I hope my explanation wasn't too confusing and someone can help me. Is it possible to move the coordinate system of $H$?