Screen Transformation

One final transformation maps the 3D scene onto the pixels of the screen.

\[S=\begin{bmatrix} w\,/\,2 & 0 & 0 & w\,/\,2 \\ 0 & h\,/\,2 & 0 & h\,/\,2 \\ 0 & 0 & d\,/\,2 & d\,/\,2 \\ 0 & 0 & 0 & 1 \\ \end{bmatrix}\]
For example: \[\begin{array}{lcr} w &=& 1920 \\ h &=& 1080 \\ d &=& 65536 \\ \end{array}\]