Hi Gerd,

I don't yet have a solution, I just know that the current approach
is not okay.

No easy solution. I think maybe the best would be to trim border tiles according to bounding polygon. This could be suitable for irregular tiles too.

Other idea could be to estimate full content of a tile on border, adding a number of nodes proportional to area outside bounding polygon. This won't be precise but I guess quite easy to implement.

In my case simplification of bounding polygon was sufficient to get usable split.

--
Best regards,
Andrzej
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