Figuring out that they were not dead pixels was pretty straight forward: these dots were visible on any desktop color as nontransparent obstacles on the way of back-light. Also with a closer look it was noticeable that they were of slightly different sizes:
I modified the original picture to eliminate Moire pattern and make it look as it's seen by an eye.
That monitor was in use for a while and it could have some dust collected from the environment. Apparently, moving it to another place with some shakes and turns allowed these particles to get in between LCD layers. One way, I could see, to fix it was to disassemble the whole monitor, separate the screen layers and clean them up. It is feasible but it would be a lot of work with some risk to catch more dust on the internal screen layer than there was before if the working area is not clean enough.
Another possibility was based on a hope that if the particles got inside so easily they might be not stuck there, and they might need just a little more room and weak shake to fall down out of my sight. I used suction cups of different size to get necessary grip on the screen surface to pull it out near the dust particle:
While gently pulling the screen layer out I kept slightly knocking the screen with a fingernail until the dust particle fell down. I would not say that it is absolutely safe operation for the screen, so it's better to start with very light effort and increase strength of pulling and knocking only if it seems OK. In my case I was able to make them fall down very easily.
By the way, searching through the Internet for any info related LCD monitor construction and repairing I bumped on some interesting discussions about living bugs in between LCD layers: http://cow.neondragon.net/index.php/2875-Bug-Inside-Lcd-Screen, for example, or http://www.tomshardware.com/forum/50859-3-bugs. All that seems very amusing unless it is in your monitor - then it depends. Just for the record some suggestions from the forums on how to deal with the problem:
- By no means, squash the bug, otherwise, it will turn into its permanent RIP mark on the screen of your monitor;
- These insects inside LCD screen really should feel themselves like on the heaven - very bright light and nice warm temperature, no deadly burns. Hence, the way to get rid of them is to shut down the "paradise" (no light, no warming), then lure them out with another "paradise" - an incandescent lamp aside the bugged monitor should work fine.