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https://issues.apache.org/jira/browse/LUCENE-7906?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16100839#comment-16100839
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Karl Wright commented on LUCENE-7906:
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[~ivera], arcDistance is defined well for ellipsoids but surfaceDistance
requires an iterative convergent loop. Also, the GeoCircle is in fact a single
plane which slices through the ellipsoid forming an ellipse. Since
surfaceDistance is prohibitively expensive to calculate for all but a sphere,
an approximation is required either way, and the GeoCircle is fitted specially
to the ellipsoid in order to be a good approximation for WGS84.
> Spatial relationship between Geoshapes
> --------------------------------------
>
> Key: LUCENE-7906
> URL: https://issues.apache.org/jira/browse/LUCENE-7906
> Project: Lucene - Core
> Issue Type: Improvement
> Components: modules/spatial3d
> Reporter: Ignacio Vera
> Assignee: Karl Wright
> Attachments: LUCENE-7906.patch
>
>
> Hi,
> Working with geosahpes and trying to resolve spatial relationships between
> them I came accross a big limitation when trying to solve the relationship
> between two geopolygons. This object does not expose the internal structure.
> In particular at some point, it is necessary to check if one polygon
> intersects the edges of the other polygon which currently is not possible as
> edges are not exposed.
> To be able to perform such operation it can be several options. The ones I
> can think of are:
> 1) Expose the edges of the polygon ( and probably the notable points for the
> edges) adding getters in the GeoPolygon interface. Easy to implement and
> leave users the responsability of coding the spatial relationship.
> 2) Extends GeoPolygon interface to extends geoarea and leave the object make
> the spatial relationship.
> 3) Extends GeoShape interface so all shapes can infer the spatial
> relationship with other GeoShapes.
> I might be bias as my interest is in 2d Shapes in the unit sphere and there
> might be some cases which what I propose cannot be implemented or are againts
> the aim of the library.
> What do you think?
> Cheers,
> Ignacio
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