Best way to remove very fine scratches in chrome windshield frame

[bighealeysource]

Replaced the glass in my Healey windshield last weekend and apparently got some very fine scratches ( can see but cannot feel them) in the chrome on the actual frame. Any suggestions on best way to polish these out ? Posted this on the Healey area too and got a suggestion for Mother's Chrome polish which I will try but what about jewelers rouge and a polishing buff used on a drill ? Don't want to make them worse but figure there must be some way to polish them out.
Thanks,
Mike

 

[TomMull]

I'd stick with the Mothers, and not too much rubbing with that. The chrome is quite thin (.00001) and it' s quite easy to buff through. The spot where you've polished will look dull after you've gone through the chrome to the thicker nickel layer under it. Tom

 

[bighealeysource]

Thanks Tom, I'll follow your advice along with the same from the Healey post too ! Last thing I want to do is make it worse as right now barely noticeable.
Regards,
Mike