PostGIS
Description
Returns the minimum-area rotated rectangle enclosing a geometry. Note that more than one such rectangle may exist. May return a Point or LineString in the case of degenerate inputs.
Availability: 2.5.0.
Requires GEOS >= 3.6.0.
Examples
SELECT ST_AsText(ST_OrientedEnvelope('MULTIPOINT ((0 0), (-1 -1), (3 2))'));
st_astext
------------------------------------------------
POLYGON((3 2,2.88 2.16,-1.12 -0.84,-1 -1,3 2))
Oriented envelope of a point and linestring.
SELECT ST_AsText(ST_OrientedEnvelope(
ST_Collect(
ST_GeomFromText('LINESTRING(55 75,125 150)'),
ST_Point(20, 80))
)) As wktenv;
wktenv
-----------
POLYGON((19.9999999999997 79.9999999999999,33.0769230769229 60.3846153846152,138.076923076924 130.384615384616,125.000000000001 150.000000000001,19.9999999999997 79.9999999999999))