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I have a picture which was taken from a book and it's full of noise:
I tried to remove the noise manually but it is too difficult and takes a lot of time.
I noticed some webpages who attempt to treat the noise problem:
http://www.gimp.org/tutorials/Reducing_CCD_Noise/
http://www.gimp.org/tutorials/Selective_Gaussian_Blur/
But it is different than my type of noise.
Do you have any idea on how to remove this type of noise? With GIMP if possible.
What you are seeing in your example is not random noise. It is what is referred to as compression artifacts and is what happens when an image is compressed too much to make the file size smaller.
Instead of trying to use noise removal, simply use a levels or curves layer. Or even try just boosting the contrast. You have a white background and dark text and lines, and the noise is a light or middle grey, so any of those methods can be adjusted to remove the lighter tones and make them white.
For example, quickly using pixlr and boosting contrast, I get this result. I'm sure you can do better with GIMP and levels or curves
Using a curve:
