Challenge: vanishing points perspective with FOV angle

What about coding a typical two or three vanishing points perspective grid? As used for drawing, but with a FOV (Field of View) slider, so you place your points or vantages (with mouse or input) and move away those points according to the vertical FOV-y slider (toRadian).

All in a simplistic approach.

Other approaches could be use **foreshortening** techniques, while more difficult to achieve due a **viewing frustum**, with near and far z planes, is needed (camera based approach),
as well keeping in mind the Aspect Ratio and considering orientation (since FOV must be the longest edge in portraits) in this scenario.

Attached some sketches of the idea