As far as I can tell, there is no tool (yet) to truly fix out-of-focus images.
There are several plug-ins available claiming to fix the problem, but they mostly provide a combination of several sharpening techniques. What they do, they do very well and with some out-of-focus images, they can work wonders. Nik and Topaz come to mind, but I haven’t used the trials in while, so it may be other vendors. Pretty sure they are Photoshop plugs (only), so you’d have to pass your video through PS.
I took your image and tweaked the shadow-highlights, then some unsharp mask with a low amount (20%) and a high radius (7 pix) to get a little improvement.
One problem you will have with many video sources (particularly SD) is the large amount of edge-enhancement added by most video cameras. Any significant amount of sharpening exaggerates the edge-enhancement, making the image look “cartoon-y.”
If you find something to make big changes in out-of-focus materials, I’d love to hear about it.
Jim
ColorBurst Video