Had this come up in a game last week.
My Y-Wing (with ICT) and an opponents Defender were as close to being exactly parallel as could be judged by eye or with a range ruler - at about range 1.5 from each other
He was facing "north" I was facing "south" and between us was an asteroid, other than the fact that we were facing opposite directions we were exactly parallel.
However the line of fire between us did not appear to be completely obstructed - I could plot a clear, straight line of fire from the rear of the right hand edge of my base to the front left hand edge of his base with a few mm to spare sliding the range ruler along my base (bear in mind I had a 360 firing arc) - measuring from further along the base my shot was obstructed, but because we were parallel there was no obvious "closest point to closest point"
It was a friendly game and I was winning by a mile at that point so we just rolled on it and I lost - but I'm pretty sure that had I wanted to push it I could have called that shot as unobstructed.
Edit - I know that in Epic rules, judging line of fire to Fore / Aft sections of a huge ship (which is also counted as an obstacle in some respects) is measured from the the post at the centre of the base of a small / large ship rather than the edge of the base as with most other circumstances- but I don't recall that being a criteria for shooting through - or rather around - "regular" obstacles like asteroids
Edited by Funkleton