## Voronoi Function to construct the [Voronoi Diagram](https://en.wikipedia.org/wiki/Voronoi_diagram) from a dataset of scatter points, clipped to the significant area PostGIS wil include this in future versions ([doc for dev branch](http://postgis.net/docs/manual-dev/ST_Voronoi.html)) and will perform faster for sure, but in the meantime... ### CDB_Voronoi (geom geometry[], buffer numeric DEFAULT 0.5, tolerance numeric DEFAULT 1e-9) #### Arguments | Name | Type | Description | |------|------|-------------| | geom | geometry[] | Array of points's geometries | | buffer | numeric | enlargment ratio for the envelope area used for the restraints| | tolerance | numeric | Delaunay tolerance, optional | ### Returns | Column Name | Type | Description | |-------------|------|-------------| | geom | geometry collection | Collection of polygons of the Voronoi cells| #### Example Usage ```sql WITH a AS ( SELECT ARRAY[ST_GeomFromText('POINT(2.1744 41.403)', 4326),ST_GeomFromText('POINT(2.1228 41.380)', 4326),ST_GeomFromText('POINT(2.1511 41.374)', 4326),ST_GeomFromText('POINT(2.1528 41.413)', 4326),ST_GeomFromText('POINT(2.165 41.391)', 4326),ST_GeomFromText('POINT(2.1498 41.371)', 4326),ST_GeomFromText('POINT(2.1533 41.368)', 4326),ST_GeomFromText('POINT(2.131386 41.41399)', 4326)] AS geomin ) SELECT st_transform( (st_dump(CDB_voronoi(geomin, 0.2, 1e-9) )).geom , 3857) as the_geom_webmercator FROM a; ```