计算外环PostGIS(多边形和多边形)的角度

Question

样本数据:

CREATE TABLE poly_and_multipoly (
  "id" SERIAL NOT NULL PRIMARY KEY,
  "name" char(1) NOT NULL,
  "the_geom" geometry NOT NULL
);
-- add data, A is a polygon, B is a multipolygon
INSERT INTO poly_and_multipoly (name, the_geom) VALUES (
    'A', 'POLYGON((7.7 3.8,7.7 5.8,9.0 5.8,7.7 3.8))'::geometry
    ), (
    'B',
    'MULTIPOLYGON(((0 0,4 0,4 4,0 4,0 0),(1 1,2 1,2 2,1 2,1 1)), ((-1 -1,-1 -2,-2 -2,-2 -1,-1 -1)))'::geometry
);

我有一个多边形和多边形的表格,我正在尝试使用ST_Azimuth计算表格中外环的内角(即没有内环......).有没有办法修改附加的查询以在线串的sp和ep上使用ST_Azimuth？

    SELECT id, name, ST_AsText( ST_MakeLine(sp,ep) )
FROM
   -- extract the endpoints for every 2-point line segment for each linestring
   (SELECT id, name,
      ST_PointN(geom, generate_series(1, ST_NPoints(geom)-1)) as sp,
      ST_PointN(geom, generate_series(2, ST_NPoints(geom)  )) as ep
    FROM
       -- extract the individual linestrings
      (SELECT id, name, (ST_Dump(ST_Boundary(the_geom))).geom
       FROM poly_and_multipoly
       ) AS linestrings
    ) AS segments;

1;"A";"LINESTRING(7.7 3.8,7.7 5.8)"
1;"A";"LINESTRING(7.7 5.8,9 5.8)"
1;"A";"LINESTRING(9 5.8,7.7 3.8)"
2;"B";"LINESTRING(0 0,4 0)"

Answer 1

在 aengus 示例中使用 ST_Azimuth 函数会出现错误，因为您不能使用两个generate_series作为单个函数的参数。如果您在另一个子查询中使用 ep / sp 值，那么您不会遇到任何麻烦。

这是我的解决方案：

-- 3.- Create segments from points and calculate azimuth for each line.
--     two calls of generate_series for a single function wont work (azimuth).
select id,
       name,
       polygon_num,
       point_order as vertex,
       --
       case when point_order = 1
         then last_value(ST_Astext(ST_Makeline(sp,ep))) over (partition by id, polygon_num)
         else lag(ST_Astext(ST_Makeline(sp,ep)),1) over (partition by id, polygon_num order by point_order)
       end ||' - '||ST_Astext(ST_Makeline(sp,ep)) as lines,
       --
       abs(abs(
       case when point_order = 1
         then last_value(degrees(ST_Azimuth(sp,ep))) over (partition by id, polygon_num)
         else lag(degrees(ST_Azimuth(sp,ep)),1) over (partition by id, polygon_num order by point_order)
       end - degrees(ST_Azimuth(sp,ep))) -180 ) as ang
from (-- 2.- extract the endpoints for every 2-point line segment for each linestring
      --     Group polygons from multipolygon
      select id,
             name,
             coalesce(path[1],0) as polygon_num,
             generate_series(1, ST_Npoints(geom)-1) as point_order,
             ST_Pointn(geom, generate_series(1, ST_Npoints(geom)-1)) as sp,
             ST_Pointn(geom, generate_series(2, ST_Npoints(geom)  )) as ep
      from ( -- 1.- Extract the individual linestrings and the Polygon number for later identification
             select id,
                    name,
                    (ST_Dump(ST_Boundary(the_geom))).geom as geom,
                    (ST_Dump(ST_Boundary(the_geom))).path as path -- To identify the polygon
              from poly_and_multipoly ) as pointlist ) as segments;

我添加了一些复杂性，因为我想识别每个多边形以避免混合线进行角度计算。

由于 sqlfiddle 不支持 PostGIS，我已将这个示例和一些补充代码上传到 github这里