Yeast sediment in bottles is also unavoidable. You need yeast to carb and condition your bottle, and yeast colonies reproduce and get bigger during the carb/conditioning process, so it's impossible to naturally carb in a bottle and not have sediment.
Sediment-free bottles, like commerical examples, are force carbed prior to bottling. If that's your goal, look into a kegging setup and a beer gun/counter pressure filler. That's the correct way to do it.
Primary #1 - Midnight Ryeder (Midnight Wheat and Rye)
Primary #2 - Florida Weiss
Primary #3 - Kane-DOH APA (Honey Citra APA)
Secondary #1 - Downtown Flanders Brown (brewed August 2012)
Keg #1 - Raspberry Florida Weiss
Keg #2 - Cinnamon Raisin Cider
Keg #3 - NONE!
Bottled - NONE!