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https://issues.apache.org/jira/browse/LUCENE-7663?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15843638#comment-15843638
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Michael McCandless commented on LUCENE-7663:
--------------------------------------------

This sounds promising!

But, we are moving away from {{GeoPointDistanceQuery}} in favor of the block KD 
tree (dimensional points) implemenation, {{LatLonPoint.newDistanceQuery}}: the 
latter is quite a bit faster [as measured in our nightly geo 
benchmarks|http://home.apache.org/~mikemccand/geobench.html#search-distance], 
and it recently just got even faster with LUCENE-7656.

Do you think the ideas from these papers would also apply to 
{{LatLonPoint.newDistanceQuery}}?

> Improve GeoPointDistanceQuery performance
> -----------------------------------------
>
>                 Key: LUCENE-7663
>                 URL: https://issues.apache.org/jira/browse/LUCENE-7663
>             Project: Lucene - Core
>          Issue Type: Improvement
>            Reporter: Erich Schubert
>            Priority: Minor
>
> GeoPoint queries currently use only the bounding box for filtering.
> But the query circle is only roughly 80% of the bounding box, so we could be 
> roughly 20% faster. Furthermore, the current approach requires splitting the 
> box if it crosses the date line.
> > Schubert, E., Zimek, A., & Kriegel, H. P. (2013, August). Geodetic distance 
> > queries on r-trees for indexing geographic data. In International Symposium 
> > on Spatial and Temporal Databases (pp. 146-164).
> The minimum spherical distance of a point to a rectangle is given ("Algorithm 
> 2: Optimized Minimum Distance Point to MBR"). Rectangles whose minimum 
> distance is larger than the query radius can be skipped. The authors used the 
> R-tree, but it will work with any bounding box, so it can be used in 
> CellComparator#relate.
> It's not very complex - a few case distinctions, and then either Haversine 
> distance, or cross-track-distance. So the cost ist comparable to Haversine.
> This could be added as GeoRelationUtils.pointToRectMinimumDistance, for 
> example.
> This approach can also be used to priorize rectangles, for top-k search.



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