[LUCENE-7216] Find an O(N) way to tile arbitrary geo3d polygons

• Type: Improvement
• Status: Resolved
• Priority: Major
• Resolution: Won't Fix
• Affects Version/s: 6.0
• Component/s: modules/spatial3d
• Lucene Fields: New
• Assignee: Karl Wright
• Reporter: Karl Wright
• Created: 13/Apr/16 23:11
• Updated: 16/May/16 10:46
• Resolved: 16/May/16 10:46

Description

Construction of GeoPolygons through GeoPolygonFactory.makeGeoPolygon() takes O(N^2) time, where N is the number of points. This is due to the non-transitive nature of edge/point comparisons in Geo3D; just knowing that the next point is on the right side of an edge doesn't tell you anything about previous edges. Still, maybe there is a 2D algorithm somewhere that can be adapted to run in O(N) time.