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https://issues.apache.org/jira/browse/LUCENE-7239?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15252755#comment-15252755
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Karl Wright commented on LUCENE-7239:
-------------------------------------

Indeed, very impressive speed-up.  Are you using the same borough polygons I am 
looking at, where the total vertex count is 186,000 or thereabouts?

For geo3d, I would love to be able to do some similar edge tree construction, 
but I don't yet have a firm idea what the tree hierarchy criteria would be.  
Can't split on latitude, that's for sure.  Maybe the z in (x,y,z)?


> Speed up LatLonPoint's polygon queries when there are many vertices
> -------------------------------------------------------------------
>
>                 Key: LUCENE-7239
>                 URL: https://issues.apache.org/jira/browse/LUCENE-7239
>             Project: Lucene - Core
>          Issue Type: Improvement
>            Reporter: Robert Muir
>         Attachments: LUCENE-7239.patch
>
>
> This is inspired by the "reliability and numerical stability" recommendations 
> at the end of http://www-ma2.upc.es/geoc/Schirra-pointPolygon.pdf.
> Basically our polys need to answer two questions that are slow today:
> contains(point)
> crosses(rectangle)
> Both of these ops only care about a subset of edges: the ones overlapping a y 
> interval range. We can organize these edges in an interval tree to be 
> practical and speed things up a lot. Worst case is still O(n) but those 
> solutions are more complex to do.



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