How do I reduce noise in an image?

I have a map image, similar to this:

enter image description here
(click for larger)

At 100%, the ocean is noisy and therefore not effectively compressed to png.

Please point me in a direction of an intelligent tool for the job. (I tried GIMP but failed.)

Answer

You could use Vector Magic, which is a pretty awesome service that converts images to clean vector art.

I tested it with your image and the result is much better than the original JPG version and half of it’s size.

vectorized version of the source image

Attribution
Source : Link , Question Author : user247245 , Answer Author : Lipis

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