I have a Raster layer of Population density in a low resolution.

enter image description here

These raster layer has color bleeding between the different population areas. Is there a way, to remove them in QGIS like color quantisation of the most dominant values to have indexed colors without the bleeding?

And is there a way in QGIS, to "simplify" the areas to get a result like in that picture, maybe something like vectorization and simplify:

enter image description here


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