Editing objects out of a video
In relatively static scenes it's not too tough (just tedious) to either paint out the offender or 'clone brush' using nearby frames. When you have fast motion it gets more difficult. In any case it's usually a frame-by-frame process a la rotoscoping. 

If you have a budget, investigate the plugins variously called wire-removal, rig-removal, 'no-strings' etc. which can help automate this.