requirements
A perspective function is:
\begin{equation} P\qty(x \dots t) = \frac{x}{t} \end{equation}
\(P: \mathbb{R}^{n+1} \to \mathbb{R}^{n}\).
\begin{equation} \text{persp}\qty(a,b) = b f\qty(\frac{a}{b}) \end{equation}
A perspective function is:
\begin{equation} P\qty(x \dots t) = \frac{x}{t} \end{equation}
\(P: \mathbb{R}^{n+1} \to \mathbb{R}^{n}\).
\begin{equation} \text{persp}\qty(a,b) = b f\qty(\frac{a}{b}) \end{equation}