ST_HexagonGrid
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名称

ST_HexagonGrid — 返回一组完全覆盖几何参数边界的六边形和单元格索引。

大纲

setof record ST_HexagonGrid(float8 size, geometry bounds);

描述

Starts with the concept of a hexagon tiling of the plane. (Not a hexagon tiling of the globe; for H3 use the h3-pg extension.) For a given planar SRS, and a given edge size, starting at the origin of the SRS, there is one unique hexagonal tiling of the plane, Tiling(SRS, Size). This function answers the question: what hexagons in a given Tiling(SRS, Size) overlap with a given bounds.

输出六边形的 SRS 是边界几何体提供的 SRS。

将六边形的边缘尺寸加倍或三倍会生成与原始格网相匹配的新父格网。不幸的是，不可能生成子格网完全适合内部的父六边形格网。

可用性：3.1.0

示例

Unit hexagons covering rectangular bounds.

Code
WITH bounds AS (
    SELECT ST_MakeEnvelope(2, 1, 4, 3, 3857) AS geom
), grid AS (
    SELECT hex.*
    FROM bounds
    CROSS JOIN LATERAL ST_HexagonGrid(1, geom) AS hex
)
SELECT (SELECT geom FROM bounds) AS input_bounds,
    ST_Collect(geom ORDER BY i, j) AS grid
FROM grid;
栅格输出
POLYGON((2 1,2 3,4 3,4 1,2 1)) | MULTIPOLYGON(((0.5 0.866,1 0,2 0,2.5 0.866,2 1.732,1 1.732,0.5 0.866)),((0.5 2.598,1 1.732,2 1.732,2.5 2.598,2 3.464,1 3.464,0.5 2.598)),((2 1.732,2.5 0.866,3.5 0.866,4 1.732,3.5 2.598,2.5 2.598,2 1.732)),((2 3.464,2.5 2.598,3.5 2.598,4 3.464,3.5 4.33,2.5 4.33,2 3.464)),((3.5 0.866,4 0,5 0,5.5 0.866,5 1.732,4 1.732,3.5 0.866)),((3.5 2.598,4 1.732,5 1.732,5.5 2.598,5 3.464,4 3.464,3.5 2.598)))
Figure
Geometry figure for visual-st-hexagongrid-01

Child tiles that intersect a doubled-size parent hexagon share the tiling origin, but do not nest perfectly inside the parent.

Code
WITH parent AS (
    SELECT ST_Hexagon(2, 0, 0) AS geom
), children AS (
    SELECT child.*
    FROM parent
    CROSS JOIN LATERAL ST_HexagonGrid(1, geom) AS child
    WHERE ST_Area(ST_Intersection(child.geom, parent.geom)) > 0
)
SELECT ST_Collect(geom ORDER BY i, j) AS children,
    (SELECT geom FROM parent) AS parent
FROM children;
栅格输出
MULTIPOLYGON(((-2.5 -0.866,-2 -1.732,-1 -1.732,-0.5 -0.866,-1 0,-2 0,-2.5 -0.866)),((-2.5 0.866,-2 0,-1 0,-0.5 0.866,-1 1.732,-2 1.732,-2.5 0.866)),((-1 -1.732,-0.5 -2.598,0.5 -2.598,1 -1.732,0.5 -0.866,-0.5 -0.866,-1 -1.732)),((-1 0,-0.5 -0.866,0.5 -0.866,1 0,0.5 0.866,-0.5 0.866,-1 0)),((-1 1.732,-0.5 0.866,0.5 0.866,1 1.732,0.5 2.598,-0.5 2.598,-1 1.732)),((0.5 -0.866,1 -1.732,2 -1.732,2.5 -0.866,2 0,1 0,0.5 -0.866)),((0.5 0.866,1 0,2 0,2.5 0.866,2 1.732,1 1.732,0.5 0.866))) | POLYGON((-2 0,-1 -1.732,1 -1.732,2 0,1 1.732,-1 1.732,-2 0))
Figure
Geometry figure for visual-st-hexagongrid-02

Counting points in hexagons.

要针对六边形格网进行点聚合，请使用点的范围作为边界生成六边形网格，然后在空间上连接到该网格。

Code
SELECT COUNT(*), hexes.geom
FROM ST_HexagonGrid(
  10000,
  ST_SetSRID(ST_EstimatedExtent('pointtable', 'geom'), 3857)
) AS hexes
INNER JOIN pointtable AS pts
  ON ST_Intersects(pts.geom, hexes.geom)
GROUP BY hexes.geom;

Generating hex coverage of polygons.

If a grid is generated for each polygon boundary and filtered to intersecting cells, adjacent regions receive overlapping hexagons along their shared border. The build-time figure below uses two simple regions in place of an external administrative-boundary table, so the example is self-contained.

Code
WITH admin1(gid, geom) AS (
    VALUES
        (1, ST_MakeEnvelope(0, 0, 3, 3, 3857)),
        (2, ST_MakeEnvelope(3, 0, 6, 3, 3857))
), coverage AS (
    SELECT hex.i, hex.j, hex.geom
    FROM admin1
    CROSS JOIN LATERAL ST_HexagonGrid(1.5, admin1.geom) AS hex
    WHERE ST_Intersects(admin1.geom, hex.geom)
    GROUP BY hex.i, hex.j, hex.geom
), layers AS (
    SELECT 'region' AS kind, gid AS position, geom
    FROM admin1
    UNION ALL
    SELECT
        'hexagon',
        1000 + row_number() OVER (ORDER BY i, j),
        geom
    FROM coverage
)
SELECT
    CASE kind WHEN 'region' THEN geom END AS input_region,
    CASE kind WHEN 'hexagon' THEN geom END AS hexagon
FROM layers
ORDER BY position;
栅格输出
POLYGON((0 0,0 3,3 3,3 0,0 0)) | null
POLYGON((3 0,3 3,6 3,6 0,3 0)) | null
null | POLYGON((-1.5 0,-0.75 -1.3,0.75 -1.3,1.5 0,0.75 1.3,-0.75 1.3,-1.5 0))
null | POLYGON((-1.5 2.6,-0.75 1.3,0.75 1.3,1.5 2.6,0.75 3.9,-0.75 3.9,-1.5 2.6))
null | POLYGON((0.75 1.3,1.5 0,3 0,3.75 1.3,3 2.6,1.5 2.6,0.75 1.3))
null | POLYGON((0.75 3.9,1.5 2.6,3 2.6,3.75 3.9,3 5.2,1.5 5.2,0.75 3.9))
null | POLYGON((3 0,3.75 -1.3,5.25 -1.3,6 0,5.25 1.3,3.75 1.3,3 0))
null | POLYGON((3 2.6,3.75 1.3,5.25 1.3,6 2.6,5.25 3.9,3.75 3.9,3 2.6))
null | POLYGON((5.25 1.3,6 0,7.5 0,8.25 1.3,7.5 2.6,6 2.6,5.25 1.3))
null | POLYGON((5.25 3.9,6 2.6,7.5 2.6,8.25 3.9,7.5 5.2,6 5.2,5.25 3.9))
Figure
Geometry figure for visual-st-hexagongrid-03

The same pattern applies to a real administrative-boundary table:

[注意]

当引用 FROM 列表中的先前表时，LATERAL关键字隐含在返回集合的函数中。因此，CROSS JOIN LATERAL、CROSS JOIN 或简单的 CROSS JOIN LATERAL 是本示例的等效构造。
Code
SELECT admin1.gid, hex.geom
FROM
    admin1
    CROSS JOIN
    ST_HexagonGrid(100000, admin1.geom) AS hex
WHERE
    adm0_a3 = 'USA'
    AND
    ST_Intersects(admin1.geom, hex.geom)