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https://issues.apache.org/jira/browse/LUCENE-6196?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14300944#comment-14300944
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Karl Wright commented on LUCENE-6196:
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bq: There's one thing I want to confirm with you Karl: so these shares are
"accurate" to the spherical model (the unit sphere)? That is, if I have say a
line string, then is each line segment a great-circle path between its start &
end? If not then can you please explain?
In part this depends on the shape. For GeoConvexPolygons, the surface paths
are all great circles. For GeoCircles, it's a circle not a great circle. For
GeoPaths, the boundary of the shape consists of a zone of a specific width on
either side of a great circle, so the boundary is not (if you think about it)
actually a great circle. For GeoBBox shapes (e.g. GeoRectangles), they are
great circles in longitude, but horizontal slices in latitude. This matches
the standard "rectangle" metaphor that quad trees are built on.
> Include geo3d package, along with Lucene integration to make it useful
> ----------------------------------------------------------------------
>
> Key: LUCENE-6196
> URL: https://issues.apache.org/jira/browse/LUCENE-6196
> Project: Lucene - Core
> Issue Type: New Feature
> Components: modules/spatial
> Reporter: Karl Wright
> Assignee: David Smiley
> Attachments: ShapeImpl.java, geo3d-tests.zip, geo3d.zip
>
>
> I would like to explore contributing a geo3d package to Lucene. This can be
> used in conjunction with Lucene search, both for generating geohashes (via
> spatial4j) for complex geographic shapes, as well as limiting results
> resulting from those queries to those results within the exact shape in
> highly performant ways.
> The package uses 3d planar geometry to do its magic, which basically limits
> computation necessary to determine membership (once a shape has been
> initialized, of course) to only multiplications and additions, which makes it
> feasible to construct a performant BoostSource-based filter for geographic
> shapes. The math is somewhat more involved when generating geohashes, but is
> still more than fast enough to do a good job.
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