I've used a couple of different process.
Just be careful if you have the anti-glare coating as polishing will remove it immediately
For deep scratches I used 2000 grit wet sanding
then
Polished with a non-grit polishing compound (3M, Maguire's etc)
Then finished it off with a super high gloss carnuba polish, let it dry than buff off, repeated 3X
I used a dremel with a small 2" round polishing wheel I found at an autobody store
I've also used a plastic polish made for motorcycle faring & helmet visors
Proceed with caution
BTW I ruined 1 pair before figuring out this process & using this process polished off the anti-glare coating
__________________
Former Test driver & Production Manager Singer Vehicle Design
2009 Cayenne GTS, '81 911SC RoW Targa (lot's of goodies), '86 535csi, '84 633 csi (turbo charged-sold)

, '68 912 Targa (sold)

, '69 911E (sold)
"Dream it, Believe it, Decide it, DO it "