Airspace is complicated — and so I abuse PostGIS once again — Reprise…

In the previous post: http://smathermather.wordpress.com/2014/10/25/airspace-is-complicated-and-so-i-abuse-postgis-once-again/ we explore the 3D shape and complexity of controlled airspace.

Now here’s the rest of the code. We’ll add our affine transformation ala Seth Fitsimmons:

    SELECT 
        ST_Affine(
            ST_Rotate(geom, -pi() / 2),
            -- isometric
            cos(pi() / 6), -cos(pi() / 6), 0,
            sin(pi() / 6), sin(pi() / 6), 1,
            0, 0, 0,
            0, 0, 0
        )
    AS geom

And integrate that into our original function:

-- Inputs are a geometry and an elevation to move the geometry to
CREATE OR REPLACE FUNCTION threed_iso(footprint geometry, elevation numeric)
  RETURNS geometry AS
$BODY$

-- Force 3D, then translate to the input elevation
WITH floor AS
(
    SELECT ST_Translate( ST_Force3DZ(footprint), 0, 0, elevation ) AS geom
),
-- Now make isometric (and begin Seth Code)
iso AS
(
    SELECT 
        ST_Affine(
            ST_Rotate(geom, -pi() / 2),
            -- isometric
            cos(pi() / 6), -cos(pi() / 6), 0,
            sin(pi() / 6), sin(pi() / 6), 1,
            0, 0, 0,
            0, 0, 0
        )

    AS geom
    FROM floor
)
-- We'll force it back to 3D so QGIS is happy
SELECT ST_Force2D(geom) FROM iso
;
$BODY$
  LANGUAGE sql VOLATILE
  COST 100;

And voila!

DROP TABLE IF EXISTS class_c_isoc;

CREATE TABLE class_c_isoc AS
	SELECT gid, airspace, name, lowalt, highalt, threed_iso(geom, lowalt::numeric * 5) AS geom
	FROM class_c_subset;

Let’s take a look at Washington, DC and surrounds, another nice complicated example:

Image may be NSFW.
Clik here to view.

3D Figure of DC controlled airspace

And again with map tiles by Stamen Design, under CC BY 3.0. Data by OpenStreetMap, under ODbL:

Image may be NSFW.
Clik here to view.

3D Figure of DC controlled airspace

Image may be NSFW.
Clik here to view.

Image may be NSFW.
Clik here to view.