Regaining own air ball

[Amesman]

Brother-in-law (who at one time blew the Fox 40) asked me to ask this: Can a shooter be the first to touch his own try if it doesn't hit rim or backboard?

I told him I thought so -- as long as it was a legitimate try attempt in the officials' eyes -- but I wasn't in the mood to jump up and grab my book at the time to cite chapter and verse.

Having checked by now, though, would this come under 4-41-4 (when a try ends ... hitting the floor)? If so, can it be legally regained whether or not it hits the floor, or is there something else at play?

Also, he wondered if the described sitch is OK, had the rule been changed recently? Thanks for any help -- you know how brothers-in-law can be ...