Inkjet printing is an entirely different ballgame, Neil. It does not involve process colors at all, but very complex programmable combinations of pigments, dyes, and lakes with the priority being both the abiiity to pass through those tiny printer nozzles, along with realistic programmability via analytic geometry color mapping software. One of the things I find disappointing about such inks is their lack of transparency, as well as their so-so uneven rendition of blacks.

Monitors, just one more hoop to jump through, interpolated just like Pieter explained above. Real pigments and dyes behave somewhat differently, depending on how they reflect back light.

Otherwise, graphics pre-press programs have been used in the past to facilitate post-scan modernized commercial versions of carbon printing, such as the Polaroid Permanent process, Ultrastable, and Evercolor. But all of these were also inevitably linked to the same halftone workflow, and therefore rendered an analogous halftone look, and not real transparent color either. All also proved to be expensive commercial bellyflops before too long. By way of contrast, look at competent dye transfer prints, which is also a layered or "sandwich assembly" color printing process, but with wonderful hue transparency and deep depths of pure black (but alas, less permanent color).