TK, the interpolation takes place in the computer and the color space
coversion is done by the printer (at least for most color lasers and HP
inkjets). This does not mean that the full page needs to be stored
uncompressed in a file or in memory. Ghostscript for example devides up
the page into bands and renders only one band at a time and sends it off
to the printer before it renders the next band. In addition print data
transfer is often done compressed.

You can see in the upstream bug report in comment #7
(http://bugs.ghostscript.com/show_bug.cgi?id=690133#c7) that Ghostscript
8.62 and older needed only 15 MB as temp file space for the job
discussed here, Only after a certain change which the Ghostscript
developers have already localized the space need jumped into the order
of GB. And the released Ghostscript 8.63 seems to take even more space
than earlier and later development snapshots of Ghostscript.

-- 
Ghostscript eats all hard drive space and prints errors when printing with 1200 
dpi
https://bugs.launchpad.net/bugs/288570
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