So, because I have no glass polishing shop in the neighbourhood I went to a car shop yesterday and bought this:

I then just started polishing by putting a little polish on the towel and polish circle wise, and this over and over again. I first tried a little spot on the black edge of the monitor which is normally behind the bezel. This looked good and I then tried it at one of the damaged spots on the monitor screen. Also OK. Then I did put on the latest CD of Katie Melua (who looks very nice by the way), took a beer and and a deep breath and I continued right in the middle of the monitor:

It's pretty hard work, and I had to inspect the surface of the monitor closely with a lamp to see if all coating residu was gone, but half an hour later I was about halfway (left side done, the little spot on the right side of the screen was my second test):

I finished the job about half an hour later, and the results are amazing. The screen is bright and looks like new. There is not one scratch on the whole screen left, not even a tiny one. And the damaged spots are also gone. The game colours are more vibrant. I couldn't be happier
