Your picture of Photons is very misguided. As has been pointed out many times on PF, they are nothing like the little bullets that people imagine. There is no particular "point" at which a photon exists until it actually interacts with an object. You have made the common mistake of assuming that introducing the photon idea is of any earthly use in discussing optics or that it enhances understanding. All of Optics is far better dealt with, using waves. Waves are not a 'second best' description. They are the way to do it. If you want to claim otherwise then you would, at least, have to give a credible reference and demonstrate how your little bullet model gives the right result.
This whole question is far better explained by introducing the phenomenon of Diffraction which describes how waves are modified as they pass through or by obstructions. An 'Image' is formed when waves, emanating in different directions from an object, come together in phase and arrive together in a pattern that maps the pattern of the object. The formation of a 'good' image requires an aperture of some finite width and also some mechanism (e.g. a suitable lens or converging mirror) to bring the waves together coherently.
Light Waves are emanating from every point in every direction. All those waves carry information about the brightnesses and positions of parts of the room (etc). If you took a lens, say, to any point in your room, it would accept waves from all directions, including your point of interest on the wall, and produce a detailed image in one particular place on a screen (when "focussed" for optimum effect). A lens placed elsewhere could also produce an image by gathering and 'assembling' the waves hitting it.
You could usefully re-state "Their are photons at every point in the room which have the information of the image," as "Their are waves traveling past every point in the room which have the information of the image."