How do I get the current user's home stream?


I want to be able to pull the user’s home screen feed and put it on my website, but I don’t quite see a way to get the currently logged in user. Any idea on how this might be accomplished? I have tried using /statuses/home_timeline.json but that returns my personal twitter feed to the public. I don’t want that. I want their twitter feed to be viewable to only them.