Latent composite: multiple exposures of the same piece of film before development.
Using the TMA-1 scene from 2001: A Space Odyssey as an example, the live-action set was shot first. A box-like excavation in the lunar surface with ramps leading down to the "monolith" in the pit. The view from the rim of the pit was shot, and then stored without development for many months. Later, models or matte paintings (in multiple exposures) were added to show the distant lunar surface and horizon, with stars and Earth in the sky. Naturally, portions of the frame for each exposure must be "matted" or masked out to prevent ghost-like see-through double exposures of the same part of the frame.
The usual method would be to shoot the live-action scene, and develop it. A projection of that scene would then guide the artist in painting the rest of the scene on glass (a "matte" painting). Thus, the live-action would go through one generation loss. Re-shooting film means you are also taking in the grain of that first recording, rather than shooting a "grain-less" real scene. By taking the risky approach of latent exposures, Kubrick got a much cleaner shot.
Part of the impact of this approach is the "latitude" (dark-to-light scale) of the film vs reality. For example, David Lynch shot his desert scenes for Dune with a special light box attached to the camera. The box had a variable light source with a colored gel to bounce light into the lens. By using an amber gel, he was able to "fill in" the "blacks" of the scene to give an unearthly light. By doing this realtime on the real scene coming through the lens, the color "grading" was much more subtle than if it had been added in post production with the much more limited "latitude" of the film. Doing the effect in post would tend to wash out the scene.
(Such subtle color grading is now very easy with digital processing. In fact, digital compositing has been a godsend to VFX artists.)