[jira] [Created] (LUCENE-8220) GeoPolygons still shows problems with coplanar points

["Ignacio Vera (JIRA)" <ji...@apache.org>]

Ignacio Vera created LUCENE-8220:
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             Summary: GeoPolygons still shows problems with coplanar points
                 Key: LUCENE-8220
                 URL: https://issues.apache.org/jira/browse/LUCENE-8220
             Project: Lucene - Core
          Issue Type: Bug
          Components: modules/spatial3d
            Reporter: Ignacio Vera
         Attachments: concave.jpg, concaveWithTiling.jpg, coplanarity-test.patch

The attached patch contains two polygons that still shows problems with co-planarity points. To better explain the issue I attached some images:

1) concave.jpg:  This is the polygon we want to build. Note that we want to build the concave part, therefore the blue part id actually not part of the shape and the white part is the are cover by the shape.

2) concaveWithTiling.jpg: The algorithm of the polygon factory tries to tile the polygon using convex polygons. In our case it creates the three coloured polygons on the image. What it remains is a concave polygon.

The problem with this polygon is that the right edge of the concave polygon contains co-planar points. These points cannot be merged into a single plane because they have different properties (internal edges or shape edges).

Because GeoConvexPolygon and GeoConcavePolygon cannot hadle polygons with coplanar points, the polygon cannot be built.

[~kwright@metacarta.com], Is it possible to make this polygons support such an extreme case?



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