How to compute homography matrix H

If i know the 4 corresponding points in image say p1->p1' p2->p2' p3->p3' p4->p4'

then how to compute pi(x,y) from pi'(x,y) don't know how to compute elements in Homography matrix H from those 8 known points [x']= [h11 h12 h13] [x] [y']= [h21 h22 h23] [y] [(1)]=[h31 h32 (1)] [(1)] Lets say my points on the image plane are: p[0] = x:407 y:253 p[1] = x:386 y:253 p[2] = x:406 y:232 p[3] = x:385 y:232 Assuming this picture was taken by a fixed camera at origin heading Z axis. But is it possible to get the X,Y,Z from each of these points using only this information above? how to write in matlab