_,,,^..^,,,_ said:

see the missing piece at the bottom right? Unless there is some method to "invent" the missing piece using surrounding images... and I'm afraid, there is not (yet)!

Photoshop has a function that replaces a section of an image with estimated data from the region around it. I'm not sure if there is an open source implementation of this out there, but I believe you could get decent automated results in this case since you are operating in the very corner of every frame.

A similar technique could also be used to aid with logo removal, but more noticeable artifacts would probably occur when compared to the above example since the logo can intrude quite far into the frame.