I had considerable success eliminating this problem on my mid-2010, iMac i5 27" simply by turning off all energy saving parameters: Worked great through Mavericks, and all the former green/purple pixilations ceased.
Then I installed the upgrade to Yosemite.... and they returned, with a vengeance.
For the first time, however, I received the alert stating "video card problem", which then proceeded to send my anonymnous report to Apple, so I - too - am cautiously optimistic that Apple has indeed recognized and is investigating this long-running issue that SO many continue to experience.
For the first time - following the alert message - my iMac actually froze completely, forcing a hard restart... which itself had to be "restarted", when the process stalled.
Once my system returned, it was like watching the initial scenes from The Wizard of Oz - where Dorothy awoke across the rainbow: I have never seen such rich, vivid colors - nor such depth and crystal clear, sharp imagery as I'm experiencing now: NO PIXILATIONS WHATSOEVER, and a gorgeous display!
I do, however, believe my iMac's running more slowly under Yosemite...
Hopefully, I'll be able to stave of baking my card: Replacement prices (rare, and harder to find these days) seem to be all over the map, and rising...
Thanks for everyone's technical expertise input on these two forums: You guys rock!!!