Perspective Transformation
\[\M{P}=\begin{bmatrix}
\frac{1}{r \tan\alpha/2} & 0 & 0 & 0 \\
0 & \frac{1}{\tan\alpha/2} & 0 & 0 \\
\phantom{\frac{}{}}0 & 0 & \frac{n+f}{n-f} & \frac{2\,n\,f}{n-f} \\
\phantom{\frac{}{}}0 & 0 & -1 & 0 \\
\end{bmatrix}\]
- $\alpha$ is the field of view
- $r$ is the aspect ratio
- $n$ is the near distance
- $f$ is the far distance