Adrien Grand created LUCENE-7309:
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             Summary: Speed up Polygon2D construction
                 Key: LUCENE-7309
                 URL: https://issues.apache.org/jira/browse/LUCENE-7309
             Project: Lucene - Core
          Issue Type: Improvement
            Reporter: Adrien Grand
            Assignee: Adrien Grand
            Priority: Minor


Polygon2D.create recursively sorts on each dimension to build a tree. However, 
it does not really need to sort the data, it just needs to compute the median 
and partition other values around it, which can be performed in O(n). If I am 
not mistaken, this would make Polygon2D.create run in O(n log(n)) rather than 
O(n log^2(n)) today.



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