geo_union_polygons_array()

  • Article

Applies to: ✅ Azure Data Explorer ✅ Azure Monitor ✅ Microsoft Sentinel

Calculates the union of polygons or multipolygons on Earth.

Syntax

geo_union_polygons_array(polygons)

Learn more about syntax conventions.

Parameters

Name Type Required Description
polygons dynamic ✔️ An array of polygons or multipolygons in the GeoJSON format.

Returns

A polygon or a multipolygon in GeoJSON Format and of a dynamic data type. If any of the provided polygons or multipolygons is invalid, the query will produce a null result.

Note

  • The geospatial coordinates are interpreted as represented by the WGS-84 coordinate reference system.
  • The geodetic datum used for measurements on Earth is a sphere. Polygon edges are geodesics on the sphere.
  • If input polygon edges are straight cartesian lines, consider using geo_polygon_densify() to convert planar edges to geodesics.

Polygon definition and constraints

dynamic({"type": "Polygon","coordinates": [ LinearRingShell, LinearRingHole_1, ..., LinearRingHole_N ]})

dynamic({"type": "MultiPolygon","coordinates": [[ LinearRingShell, LinearRingHole_1, ..., LinearRingHole_N], ..., [LinearRingShell, LinearRingHole_1, ..., LinearRingHole_M]]})

  • LinearRingShell is required and defined as a counterclockwise ordered array of coordinates [[lng_1,lat_1],...,[lng_i,lat_i],...,[lng_j,lat_j],...,[lng_1,lat_1]]. There can be only one shell.
  • LinearRingHole is optional and defined as a clockwise ordered array of coordinates [[lng_1,lat_1],...,[lng_i,lat_i],...,[lng_j,lat_j],...,[lng_1,lat_1]]. There can be any number of interior rings and holes.
  • LinearRing vertices must be distinct with at least three coordinates. The first coordinate must be equal to the last. At least four entries are required.
  • Coordinates [longitude, latitude] must be valid. Longitude must be a real number in the range [-180, +180] and latitude must be a real number in the range [-90, +90].
  • LinearRingShell encloses at most half of the sphere. LinearRing divides the sphere into two regions. The smaller of the two regions will be chosen.
  • LinearRing edge length must be less than 180 degrees. The shortest edge between the two vertices will be chosen.
  • LinearRings must not cross and must not share edges. LinearRings may share vertices.

Examples

The following example performs geospatial union on polygon rows.

datatable(polygons:dynamic)
[
    dynamic({"type":"Polygon","coordinates":[[[-73.9495,40.7969],[-73.95807,40.80068],[-73.98201,40.76825],[-73.97317,40.76455],[-73.9495,40.7969]]]}),
    dynamic({"type":"Polygon","coordinates":[[[-73.94622,40.79249],[-73.96888,40.79282],[-73.9577,40.7789],[-73.94622,40.79249]]]}),
    dynamic({"type":"Polygon","coordinates":[[[-73.97335,40.77274],[-73.9936,40.76630],[-73.97171,40.75655],[-73.97335,40.77274]]]})
]
| summarize polygons_arr = make_list(polygons)
| project polygons_union = geo_union_polygons_array(polygons_arr)

Output

polygons_union
{"type":"Polygon","coordinates":[[[-73.972599326729608,40.765330371902991],[-73.960302383706178,40.782140794645024],[-73.9577,40.7789],[-73.94622,40.79249],[-73.9526593223173,40.792584227716468],[-73.9495,40.7969],[-73.95807,40.80068],[-73.9639277517478,40.792748258673875],[-73.96888,40.792819999999992],[-73.9662719791645,40.7895734224338],[-73.9803360309571,40.770518810606404],[-73.9936,40.7663],[-73.97171,40.756550000000004],[-73.972599326729608,40.765330371902991]]]}

The following example performs geospatial union on polygon columns.

datatable(polygon1:dynamic, polygon2:dynamic)
[
    dynamic({"type":"Polygon","coordinates":[[[-73.9495,40.7969],[-73.95807,40.80068],[-73.98201,40.76825],[-73.97317,40.76455],[-73.9495,40.7969]]]}), dynamic({"type":"Polygon","coordinates":[[[-73.94622,40.79249],[-73.96888,40.79282],[-73.9577,40.7789],[-73.94622,40.79249]]]})
]
| project polygons_arr = pack_array(polygon1, polygon2)
| project polygons_union = geo_union_polygons_array(polygons_arr)

Output

polygons_union
{"type":"Polygon","coordinates":[[[-73.9495,40.7969],[-73.95807,40.80068],[-73.9639277517478,40.792748258673875],[-73.96888,40.792819999999992],[-73.9662719791645,40.7895734224338],[-73.98201,40.76825],[-73.97317,40.76455],[-73.960302383706178,40.782140794645024],[-73.9577,40.7789],[-73.94622,40.79249],[-73.9526593223173,40.792584227716468],[-73.9495,40.7969]]]}

The following example returns True because one of the polygons is invalid.

datatable(polygons:dynamic)
[
    dynamic({"type":"Polygon","coordinates":[[[-73.9495,40.7969],[-73.95807,40.80068],[-73.98201,40.76825],[-73.97317,40.76455],[-73.9495,40.7969]]]}),
    dynamic({"type":"Polygon","coordinates":[[[-73.94622,40.79249]]]})
]
| summarize polygons_arr = make_list(polygons)
| project invalid_union = isnull(geo_union_polygons_array(polygons_arr))

Output

invalid_union
True