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I'm really interested in knowing what kind of algorithm does GeoServer use when presenting its maps.

GeoServer has its own algorithms, for instant the labelling algorithm. Is there a possibility to change it or modify the algorithm or add something to it? If so where can we find it? How we can change it if we want to?

I see that the algorithm is missing a few standards and it would be helpful if it could be modified.

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You'll need to study the renderer in GeoTools which calls the labeling subsystem (https://github.com/geotools/geotools/tree/master/modules/library/render/src/main/java/org/geotools/renderer/label).

Before you go too far down that route feel free to write a proposal and discuss it on the developers list.

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