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https://issues.apache.org/jira/browse/LUCENE-7970?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16177611#comment-16177611
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Karl Wright commented on LUCENE-7970:
-------------------------------------

The only idea that's come to me so far is to define GeoExactCircle as 
implementing only Membership, GeoSizeable, and GeoDistance.  GeoOutsideDistance 
we can't really do at the moment, nor can we implement intersects() in any 
form, so GeoShape is not really possible either.

>From GeoShape, we *could* implement getBounds() and getEdgePoints().  
>getEdgePoints() is only useful in the context of intersects(), though.  
>getBounds() might be moved to another interface, e.g. Bounded, that we can use 
>in a more fine-grained way.  


> Add a Geo3d shape that models an exact circle, even when the planet model is 
> not a sphere
> -----------------------------------------------------------------------------------------
>
>                 Key: LUCENE-7970
>                 URL: https://issues.apache.org/jira/browse/LUCENE-7970
>             Project: Lucene - Core
>          Issue Type: Improvement
>          Components: modules/spatial3d
>            Reporter: Ignacio Vera
>            Assignee: Karl Wright
>         Attachments: LUCENE_7970.patch, LUCENE-7970.patch, 
> LUCENE-7970-proposed.patch, LUCENE-7970_testBearingPoint.patch
>
>
> 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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