Polygon Segment Indexing for Point-in-Polygon Computation

The patent divides the polygon boundary into multiple segments and creates a spatial index structure that organizes these segments by geographic location. This segmentation allows the system to quickly identify and retrieve only those segments that are spatially relevant to the query point, rather than comparing against all segments. The index structure partitions the search space into manageable regions, enabling efficient filtering of candidate segments before performing the actual point-in-polygon test.

The patent performs preliminary actions by pre-building a spatial index structure that organizes polygon segments according to their geographic locations and creates geo-markers for efficient retrieval. This pre-processing step stores metadata about segment locations and relationships, allowing the system to quickly filter and retrieve only the relevant segments needed for the point-in-polygon test. The preliminary organization of data enables the system to avoid comparing against irrelevant segments, significantly reducing the number of comparisons required while maintaining complete accuracy.

The patent applies local quality by creating varying levels of indexing detail based on the specific spatial characteristics and density of polygon segments in different regions. Rather than uniformly indexing all segments with the same level of detail, the system adapts the index structure to match the local distribution and importance of segments. This allows the system to maintain high precision where needed while reducing index complexity in regions with fewer or less critical segments, optimizing the balance between accuracy and resource consumption.