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https://issues.apache.org/jira/browse/LUCENE-7212?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15240243#comment-15240243
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Karl Wright commented on LUCENE-7212:
-------------------------------------

For 2D, there's quite a bit to choose from, e.g. the O(n) cross-product 
solution described here: 
http://stackoverflow.com/questions/471962/how-do-determine-if-a-polygon-is-complex-convex-nonconvex


> Add Geo3DPoint equivalents of LatLonPointDistanceComparator and 
> LatLonPointSortField
> ------------------------------------------------------------------------------------
>
>                 Key: LUCENE-7212
>                 URL: https://issues.apache.org/jira/browse/LUCENE-7212
>             Project: Lucene - Core
>          Issue Type: Improvement
>    Affects Versions: master
>            Reporter: Karl Wright
>            Assignee: Karl Wright
>
> Geo3D has a number of distance measurements and a generic way of computing 
> interior distance.  It would be great to take advantage of that for queries 
> that return results ordered by interior distance.



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