You can try using the Unsharpen Mask, it may save the day or if used to excess make things look really bad.
One trick though, if you can add something into the frame that is in focus. This works in some circumstances by making it look like you meant the rest of the frame to be out of focus or simply distracting the viewer.
I have an hour of video of a narrator chromakeyed. He is not always on being covered up by pictures. This is a documenetry, It does't show up untill you blow it up on to a six foot screen.
That is one thing I am finding doing some HD tests on big screens
with my poor eyes everything is not as sharp as I thought it was and
would require a callback.
If you can get a hold of Abbey, your problems are solved. Absolutely fuzzy, gainey, out of focus videos become crystal clear with replaced pixels that are astounding. Every time I see this done I am just more convinced I want Abbey in my shop.
If anyone does get hold of Abbey ask her if she's finished with left handed screwdriver, she promised to send it back months ago and I've tried everywhere to buy one down here.
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Caveman,
Abbey is a character in a TV series, "NCIS" and she's got a lot to answer for.
Bottom line is there's no way known to man to really fix focus. There's some pretty slick algorithms that can enhance images but without a supercomputer to crunch a lot of numbers basically and to be as polite as possible, your screwed.
As Grazie said sometimes you can hide the problem with a bit of creativity. You can try tools like edge ehancement to make it look a bit better but you'll never get it right like if it was shot in focus.
But reading what you're describing is it really because it's out of focus? The keyed in background could simply be sharper, especially if it's a graphic. If that's the case you might do better matching it to what was shot, adding a tiny amount of Gaussian Blur in Vegas or in Photoshop might do the trick. Certainly in HiDef land no camera / lens is going to match what you can create with graphics.
"Bottom line is there's no way known to man to really fix focus. " Sure there is Bob. Fourier transforms with a megaton of computing power [and that's just for a still image]. There is one catch though, you need the original optics that acquired the image, don't have that? you're SOL..