No, there's no registration.
The authorship microdata is what links you to a Google profile - it's supposed to be a way to proving you are who you say you are. There is also publisher markup.
It sounds like you have partially implemented it, but not entirely. Unfortunately, I can't drop links here, but there are tools out there that will help you generate your microdata (hint - Raven Tools has a free one) and Yoast has a pretty good guide to adding author and/or publisher markup, if you decide to do that too.