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https://issues.apache.org/jira/browse/LUCENE-7663?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel=15844044#comment-15844044
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Erich Schubert commented on LUCENE-7663:
Should apply to {{LatLonPointDistanceQuery}} as well, to reduce the number of
false positives in {{#compare}}.
In {{NearestNeighbor}}, it should improve {{#approxBestDistance}} (which
currently computes haversine to all four corners of the bounding box, which is
incorrect for a large bounding box, and a point close to the middle point of an
edge & about 4x as expensive). In fact, it would be {{trueBestDistance}} as
desired in the TODOs.
> 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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