Ok Go use a technique in the linked music video (embedding is disabled) that captures frames to a green screen behind the characters. I found the original discussion on how it relates to animation in the 11 Second Club forum in a thread by Eric Scheur.
Eric writes, "This one, for the song "WTF?" was done in front of a green screen, so that each successive frame could be applied to the background as the new one was captured. It has a cool look, of course (and I love those striped sticks wiping the screen!), but it also made me think "Wow! This is like an animation tutorial about arcs!" If you've ever taken your arcs for granted, figuring that they don't need polishing "because things are kind of hurky jerky in real life, after all," this video makes a compelling case for even the hurky-jerky movements happening in pretty sweet arcs."
Arcs are an animation principle that should be applied to your animation.