Interest Ask! I see more than one way to do this. But for the prototype, you can use something like Suse Studio - http://susestudio.com/ to create a minimal distribution for you.
Another interesting area would be to use, for example, a phone such as the Nokia N900 , which is based on Linux and uses QT as one of the technologies available to run graphical interfaces. Perhaps he already has hardware acceleration and a TV-out.
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