polishing glass

So, I have a bunch of really cheap dollar-store pint mugs. They work, but they have this annoying somewhat sharp seam down the handle from being molded and not finished very well.

I also have a dremel, so I figured I could solve this problem by chucking in a glass-grinding bit and taking the seam off.

So far so good, and the mugs are now far more comfortable to hold (which is really the important bit). However, wherever I touched the glass with the Dremel (and while I was doing this quite stone sober, thankyouverymuch, this includes a bit of ``coloring outside the lines’’), the glass now looks all frosted. I tried putting a felt bob to it, but that appeared to have no effect.

Any dopers know if there is a dremel attachment (or some other tool) that would restore the frosty bits of glass to shiny see-throughness relatively easily, and if so, what am I looking for? The dremel section at the store is somewhat intimidatingly big and not well documented…

You can get progressively finer grinding wheels and pads for the moto-tool.This site gives some details on the process. Click on the “complete discussion” link at the bottom of the page.