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https://issues.apache.org/jira/browse/LUCENE-7970?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16166061#comment-16166061
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Karl Wright commented on LUCENE-7970:
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[~ivera]: isWithin() for any plane on a non-spherical ellipsoid will generate
"true" for an area that is an ellipse. See:
https://file.scirp.org/pdf/AM20121100009_89014420.pdf
This is almost certainly the cause for the claim that points around the edge of
a GeoCircle are incorrectly described as in-set or out-of-set, when you apply
the Vincenti formula to perform the surface distance computation.
Since there are no "generated" points for a geo circle except maybe in the
testing framework, I can't see how adding a point generation method helps this
in any way. Please clarify.
> Improve generation of circle plane
> -----------------------------------
>
> Key: LUCENE-7970
> URL: https://issues.apache.org/jira/browse/LUCENE-7970
> Project: Lucene - Core
> Issue Type: Improvement
> Components: modules/spatial3d
> Reporter: Ignacio Vera
>
> Hi [~Karl wright],
> How circles are currently build do not behave very well when the planet model
> is not an sphere. when you are close to the border in WGS84 you might get
> false positves or false negatives when checking if a point is WITHIN. I think
> the reason is how the points to generate the circle plane are generated which
> assumes a sphere.
> My proposal is the following:
> Add a new method to PlanetModel:
> public GeoPoint pointOnBearing(GeoPoint from, double dist, double bearing);
> Which uses and algorithm that takes into account that the planet might not be
> spherical. For example Vincenty's formulae
> (https://en.wikipedia.org/wiki/Vincenty%27s_formulae).
> Use this method to generate the points for the circle plane. My experiments
> shows that this approach removes false negatives in WGS84 meanwhile it works
> nicely in the Sphere.
> Does it make sense?
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