For example I have rectangular polygon (4 vertices). I want to add mid-point on each line of the polygon, so in total now I have 8 vertices. And from them I want to build new polygon who will have same exterior footprint, but have 8 vertices: enter image description here

What I did and it's not working (I want to do this on every polygon in my buildings.shp): (pseudo algorithm, I'm working with "WITH... AS")

  1. Get all original vertices (The 4 black) ST_DumpPoints on buildings twice(!)

    Prepare borders of the multi-polygon buildings as line-strings in order to apply ST_Line_Interpolate_Point-

  2. All possible lines between same polygon vertices: ST_MakeLine(points1.geom, points2.geom) WHERE (points1.path <> points2.path) AND (points1.id = points2.id)

  3. Buildings borders: ST_ExteriorRing(the_geom) ON (ST_Dump(build.geom)).geom AS the_geom

  4. From lines @ 2 select only the border lines: St_touches(build.geom, lines.geom) AND St_touches(border.geom, lines.geom)=false AND lines.id = build.id AND lines.id = border.id --all points from same building, all lines from same building have same id belonging to the building

  5. Get the mid points: ST_Line_Interpolate_Point(border_lines.geom, 0.5) (green points)

  6. UNION points @ 1 and points @ 5

Now the problem is that I don't have any order in the points @ 6 so it's almost impossible to use ST_MakePolygon, and tricks with ST_ConcaveHull & ST_ConvexHull also not working because they ignores the mid point and eventually I return to where I started.

  • Assembling well-known text from this data would seem to be the easiest way to to accomplish this task, walking from vertex 1 to vertex N-1, and adding the midpoint between vertex i and i+1.
    – Vince
    Commented Aug 29, 2015 at 13:27
  • @Vince How can I make this iteration?
    – michael
    Commented Aug 29, 2015 at 13:30
  • @Vince It's important to re assemble the points to new polygon from the new vertices.
    – michael
    Commented Aug 29, 2015 at 13:32

2 Answers 2


A simple alternate solution might be ST_Segmentize(). This function will add vertices to your polygon such that no segment is longer than a given length. If getting using the exact midpoints is important, then it's no good, but it's great if you are really just looking to add complexity to your geometry.

  • This is the most important answer about "Adding vertices to polygon" when we preparing before apply st_transform()! Typical need when transforming from plane (e.g. UTM) to WGS84 LatLong. Commented Oct 11, 2022 at 10:47

Use ST_Snap http://postgis.net/docs/ST_Snap.html as the final step. As input geometries you need your original polygon and extra vertices to be added as MultiPoint. The third term of the function is snapping tolerance.

enter image description here

ST_GeomFromText('POLYGON (( 7 7, 7 11, 11 11, 11 7, 7 7 ))'),
ST_GeomFromtext('MULTIPOINT (( 11 9 ), ( 7 9 ), ( 9 11 ), ( 9 7 ))'),0.01);

Result is a polygon that has new vertices added from the MultiPoint:

POLYGON (( 7 7, 7 9, 7 11, 9 11, 11 11, 11 9, 11 7, 9 7, 7 7 ))

enter image description here

  • Exactly what I was looking for because my original problem was as documented there: problems with intersection calculations
    – michael
    Commented Aug 29, 2015 at 13:41

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