Thanks for your posts, although I confess to not being sure exactly what you are saying.
I rather like the following diagram from Jacopo Barozzi da Vignola (1583) in which a drawing or painting is imagined as transparent and the lines of sight are shown in more detail. When viewed from the centre of perspective, every point in the 2D image lines up exactly with the corresponding point on the 3D object. The position of the viewer's eye is critical.
It is obvious that if the viewer moves either closer to the image or further away, then the image will be seen with a different perspective in which points on the image cannot all line up with the corresponding points on the object.
- from Wikimedia
This diagram works equally well if we imagine that the image is a photograph on a transparent medium. The viewer needs to be at exactly the position of the camera when the photo was taken. It should then be possible to position the image so that everything in the image lines up exactly with the real scene behind it. The viewer's eye is then at the centre of perspective of the photograph.