Just a quick note, very limited testing:

If the closed curve is extruded, the Moi Silhouette command in Right view yields the two extreme points, (on short lines), plus others, for parallel case.

In 3D view, several different point, (on short lines) are available. (I guess due to camera or some other point) For point case? Need to Identify "camera" focus point? And move it to projection point?
ViewRaysThroughPoints2 script finds a "focal" point.
I do not know how to change camera eye point. There is a camera script.

(Maybe a waste of time:-) Maybe Moi Silhouette command contains useful code that could be modified?

- Brian