ST_Overlaps — 測試兩個幾何物件是否具有相同的維度並相交,但每個物件都至少有一個點不在另一個物件內
boolean ST_Overlaps(
geometry A, geometry B)
;
如果幾何物件 A 和 B「空間重疊」,則返回 TRUE。兩個幾何物件重疊的條件是:它們具有相同的維度,它們的內部在該維度上相交,並且每個物件都至少有一個點在另一個物件內部(或者等效地說,沒有一個物件包含另一個物件)。重疊關係是對稱且非自反的。
用數學術語表示:ST_Overlaps(A, B) ⇔ ( dim(A) = dim(B) = dim( Int(A) ⋂ Int(B) )) ∧ (A ⋂ B ≠ A) ∧ (A ⋂ B ≠ B)
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此函數會自動包含邊界框比較,該比較會使用幾何物件上可用的任何空間索引。若要避免使用索引,請使用函數 |
由 GEOS 模組執行
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增強功能:3.0.0 版本啟用了對 |
注意:這是返回布林值而不是整數的「允許」版本。
此方法實作了 OGC 簡單特徵 SQL 1.1 實作規範 s2.1.1.2 // s2.1.13.3
此方法實作了 SQL/MM 規範。SQL-MM 3: 5.1.32
ST_Overlaps
在下列情況下返回 TRUE
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線串上的點是被包含的,但由於其維度較低,因此它不重疊或交叉。
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
部分覆蓋多邊形的線串相交和交叉,但由於其維度不同,因此不重疊。
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
兩個相交但彼此不包含的多邊形重疊,但由於它們的交集具有相同的維度,因此不交叉。
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, 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