描述

如果几何图形 A 和 B “空间重叠”，则返回 TRUE。如果两个几何图形具有相同的维度，它们的内部在该维度中相交，并且每个图形至少有一个点在另一个图形内部（或者等效地，两个图形都不覆盖另一个图形），则它们重叠。重叠关系是对称且非自反的。

用数学术语表示： ST_Overlaps(A, B) ⇔ ( dim(A) = dim(B) = dim( Int(A) ⋂ Int(B) )) ∧ (A ⋂ B ≠ A) ∧ (A ⋂ B ≠ B)

由 GEOS 模块执行

注意：这是返回布尔值的“允许”版本，而不是整数。

此方法实现了 OGC SQL 1.1 简单要素实现规范。 s2.1.1.2 // s2.1.13.3

此方法实现了 SQL/MM 规范。SQL-MM 3: 5.1.32

示例

在以下情况下，ST_Overlaps 返回 TRUE

线串上的点被包含，但由于其维度较低，因此不重叠或交叉。

SELECT ST_Overlaps(a,b) AS overlaps,       ST_Crosses(a,b) AS crosses,
       ST_Intersects(a, b) AS intersects,  ST_Contains(b,a) AS b_contains_a
FROM (SELECT ST_GeomFromText('POINT (100 100)') As a,
             ST_GeomFromText('LINESTRING (30 50, 40 160, 160 40, 180 160)')  AS b) AS t

overlaps | crosses | intersects | b_contains_a
---------+----------------------+--------------
f        | f       | t          | t

部分覆盖多边形的线串会相交和交叉，但由于其维度不同，因此不重叠。

SELECT ST_Overlaps(a,b) AS overlaps,        ST_Crosses(a,b) AS crosses,
       ST_Intersects(a, b) AS intersects,   ST_Contains(a,b) AS contains
FROM (SELECT ST_GeomFromText('POLYGON ((40 170, 90 30, 180 100, 40 170))') AS a,
             ST_GeomFromText('LINESTRING(10 10, 190 190)') AS b) AS t;

 overlap | crosses | intersects | contains
---------+---------+------------+--------------
 f       | t       | t          | f

两个相交但彼此都不包含的多边形重叠，但不会交叉，因为它们的交点具有相同的维度。

SELECT ST_Overlaps(a,b) AS overlaps,       ST_Crosses(a,b) AS crosses,
       ST_Intersects(a, b) AS intersects,  ST_Contains(b, a) AS b_contains_a,
       ST_Dimension(a) AS dim_a, ST_Dimension(b) AS dim_b,
       ST_Dimension(ST_Intersection(a,b)) AS dim_int
FROM (SELECT ST_GeomFromText('POLYGON ((40 170, 90 30, 180 100, 40 170))') AS a,
             ST_GeomFromText('POLYGON ((110 180, 20 60, 130 90, 110 180))') AS b) As t;

 overlaps | crosses | intersects | b_contains_a | dim_a | dim_b | dim_int
----------+---------+------------+--------------+-------+-------+-----------
 t        | f       | t          | f            |     2 |     2 |       2

另请参阅

ST_Contains, ST_Crosses, ST_Dimension, ST_Intersects