Stabilise Video Using FFmpeg

I actually had no idea FFmpeg could do this.

Are there any sample videos for people to look at? I know YouTube has a very aggressive video stabilization option, but I'm sure that that's using something more complicated than what FFmpeg is doing.

Does FFmpeg implement this using the existing motion coding mechanisms?

Is it possible to replicate rotoscoping stabilization effects solely using ffmpeg? I've also been looking for a method to re-create motion blur transitions too!