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abelvm 2016-08-09 12:09:19 -04:00
parent 132f4bbda9
commit 5f339a01f7
9 changed files with 323 additions and 0 deletions
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{
"sbruchmann.staticpreview.basepath": "/home/carto/Projects/crankshaft/"
}

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## Densify function
Iterative densification of a set of scattered points using Delaunay triangulation. The new points are located at the centroids of the grid cells and have as assigned value the barycentric average value of the cell's vertex.
### CDB_Densify(geomin geometry[], colin numeric[], iterations integer)
#### Arguments
| Name | Type | Description |
|------|------|-------------|
| geomin | geometry[] | Array of points geometries |
| colin | numeric[] | Array of points' values |
| iterations | integer | Number of iterations |
### Returns
Returns a table object
| Name | Type | Description |
|------|------|-------------|
| geomout | geometry | Geometries of new dataset of points|
| colout | numeric | Values of points|
#### Example Usage
```sql
with data as (
select
ARRAY[7.0,8.0,1.0,2.0,3.0,5.0,6.0,4.0] as colin,
ARRAY[ST_GeomFromText('POINT(2.1744 41.4036)'),ST_GeomFromText('POINT(2.1228 41.3809)'),ST_GeomFromText('POINT(2.1511 41.3742)'),ST_GeomFromText('POINT(2.1528 41.4136)'),ST_GeomFromText('POINT(2.165 41.3917)'),ST_GeomFromText('POINT(2.1498 41.3713)'),ST_GeomFromText('POINT(2.1533 41.3683)'),ST_GeomFromText('POINT(2.131386 41.413998)')] as geomin
)
select CDB_Densify(geomin, colin, 2) from data;
```

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## TINMAP function
Generates a fake contour map, in the form of a TIN map, from a set of scattered points.Depends on **CDB_Densify**.
Its iterative nature let's the user smooth the final result as much as desired, but with a exponential time cost increase
### CDB_TINmap(geomin geometry[], colin numeric[], iterations integer)
#### Arguments
| Name | Type | Description |
|------|------|-------------|
| geomin | geometry[] | Array of points geometries |
| colin | numeric[] | Array of points' values |
| iterations | integer | Number of iterations |
### Returns
Returns a table object
| Name | Type | Description |
|------|------|-------------|
| geomout | geometry | Geometries of new dataset of polygons|
| colout | numeric | Values of each cell|
#### Example Usage
```sql
with data as (
select
ARRAY[7.0,8.0,1.0,2.0,3.0,5.0,6.0,4.0] as colin,
ARRAY[ST_GeomFromText('POINT(2.1744 41.4036)'),ST_GeomFromText('POINT(2.1228 41.3809)'),ST_GeomFromText('POINT(2.1511 41.3742)'),ST_GeomFromText('POINT(2.1528 41.4136)'),ST_GeomFromText('POINT(2.165 41.3917)'),ST_GeomFromText('POINT(2.1498 41.3713)'),ST_GeomFromText('POINT(2.1533 41.3683)'),ST_GeomFromText('POINT(2.131386 41.413998)')] as geomin
)
select CDB_TINmap(geomin, colin, 2) from data;
```

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src/pg/sql/14_densify.sql Normal file
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--
-- Iterative densification of a set of points using Delaunay triangulation
-- the new points have as assigned value the average value of the 3 vertex (centroid)
--
-- @param geomin - array of geometries (points)
--
-- @param colin - array of numeric values in that points
--
-- @param iterations - integer, number of iterations
--
--
-- Returns: TABLE(geomout geometry, colout numeric)
--
--
CREATE OR REPLACE FUNCTION CDB_Densify(
IN geomin geometry[],
IN colin numeric[],
IN iterations integer
)
RETURNS TABLE(geomout geometry, colout numeric) AS $$
DECLARE
geotemp geometry[];
coltemp numeric[];
i integer;
gs geometry[];
g geometry;
vertex geometry[];
va numeric;
vb numeric;
vc numeric;
center geometry;
centerval numeric;
tmp integer;
BEGIN
geotemp := geomin;
coltemp := colin;
FOR i IN 1..iterations
LOOP
-- generate TIN
WITH a as (SELECT unnest(geotemp) AS e),
b as (SELECT ST_DelaunayTriangles(ST_Collect(a.e),0.001, 0) AS t FROM a),
c as (SELECT (ST_Dump(t)).geom AS v FROM b)
SELECT array_agg(v) INTO gs FROM c;
-- loop cells
FOREACH g IN ARRAY gs
LOOP
-- append centroid
SELECT ST_Centroid(g) INTO center;
geotemp := array_append(geotemp, center);
-- retrieve the value of each vertex
WITH a AS (SELECT (ST_DumpPoints(g)).geom AS v)
SELECT array_agg(v) INTO vertex FROM a;
WITH a AS(SELECT unnest(geotemp) as geo, unnest(coltemp) as c)
SELECT c INTO va FROM a WHERE ST_Equals(geo, vertex[1]);
WITH a AS(SELECT unnest(geotemp) as geo, unnest(coltemp) as c)
SELECT c INTO vb FROM a WHERE ST_Equals(geo, vertex[2]);
WITH a AS(SELECT unnest(geotemp) as geo, unnest(coltemp) as c)
SELECT c INTO vc FROM a WHERE ST_Equals(geo, vertex[3]);
-- calc the value at the center
centerval := (va + vb + vc) / 3;
-- append the value
coltemp := array_append(coltemp, centerval);
END LOOP;
END LOOP;
RETURN QUERY SELECT unnest(geotemp ) as geomout, unnest(coltemp ) as colout;
END;
$$ language plpgsql IMMUTABLE;

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CREATE OR REPLACE FUNCTION CDB_TINmap(
IN geomin geometry[],
IN colin numeric[],
IN iterations integer
)
RETURNS TABLE(geomout geometry, colout numeric) AS $$
DECLARE
p geometry[];
vals numeric[];
gs geometry[];
g geometry;
vertex geometry[];
centerval numeric;
va numeric;
vb numeric;
vc numeric;
coltemp numeric[];
BEGIN
SELECT array_agg(dens.geomout), array_agg(dens.colout) INTO p, vals FROM CDB_Densify(geomin, colin, iterations) dens;
WITH a as (SELECT unnest(p) AS e),
b as (SELECT ST_DelaunayTriangles(ST_Collect(a.e),0.001, 0) AS t FROM a),
c as (SELECT (ST_Dump(t)).geom AS v FROM b)
SELECT array_agg(v) INTO gs FROM c;
FOREACH g IN ARRAY gs
LOOP
-- retrieve the vertex of each triangle
WITH a AS (SELECT (ST_DumpPoints(g)).geom AS v)
SELECT array_agg(v) INTO vertex FROM a;
-- retrieve the value of each vertex
WITH a AS(SELECT unnest(p) as geo, unnest(vals) as c)
SELECT c INTO va FROM a WHERE ST_Equals(geo, vertex[1]);
WITH a AS(SELECT unnest(p) as geo, unnest(vals) as c)
SELECT c INTO vb FROM a WHERE ST_Equals(geo, vertex[2]);
WITH a AS(SELECT unnest(p) as geo, unnest(vals) as c)
SELECT c INTO vc FROM a WHERE ST_Equals(geo, vertex[3]);
-- calc the value at the center
centerval := (va + vb + vc) / 3;
-- append the value
coltemp := array_append(coltemp, centerval);
END LOOP;
RETURN QUERY SELECT unnest(gs) as geomout, unnest(coltemp ) as colout;
END;
$$ language plpgsql IMMUTABLE;

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cdb_densify
-----------------------------------------------------------------
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(01010000004AEA043411360140D2B687AA85AF4440,4.0000000000000000)
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(0101000000832C1EF13E2101402609AF4A0FB04440,4.6666666666666667)
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(01010000007CCD85A42915014017B22F2835B04440,6.3333333333333333)
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(0101000000581215F9574B0140FDF5BB4EAEB24440,3.0000000000000000)
(0101000000EA6C9F19754B0140C0EE126009B24440,3.4444444444444444)
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(0101000000D0B02B40EE350140C90D9905EDB04440,3.3333333333333333)
(010100000051DA1B7C613201406F36F4DA1DB04440,3.0000000000000000)
(0101000000EA6E133D52390140FD1AE7FAEFAF4440,2.7777777777777778)
(01010000003A487527C5340140C76EEE11A6AF4440,3.3333333333333333)
(0101000000BADB448F542E01403AB4C876BEAF4440,4.1111111111111111)
(0101000000FB12176D7B280140BDE1A0F9EBAF4440,4.0000000000000000)
(44 rows)

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cdb_tinmap
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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(77 rows)

6
src/pg/test/sql/14_densify_test.sql Normal file
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@ -0,0 +1,6 @@
with data as (
select
ARRAY[7.0,8.0,1.0,2.0,3.0,5.0,6.0,4.0] as colin,
ARRAY[ST_GeomFromText('POINT(2.1744 41.4036)'),ST_GeomFromText('POINT(2.1228 41.3809)'),ST_GeomFromText('POINT(2.1511 41.3742)'),ST_GeomFromText('POINT(2.1528 41.4136)'),ST_GeomFromText('POINT(2.165 41.3917)'),ST_GeomFromText('POINT(2.1498 41.3713)'),ST_GeomFromText('POINT(2.1533 41.3683)'),ST_GeomFromText('POINT(2.131386 41.413998)')] as geomin
)
select CDB_Densify(geomin, colin, 2) from data;

6
src/pg/test/sql/15_tinmap_test.sql Normal file
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@ -0,0 +1,6 @@
with data as (
select
ARRAY[7.0,8.0,1.0,2.0,3.0,5.0,6.0,4.0] as colin,
ARRAY[ST_GeomFromText('POINT(2.1744 41.4036)'),ST_GeomFromText('POINT(2.1228 41.3809)'),ST_GeomFromText('POINT(2.1511 41.3742)'),ST_GeomFromText('POINT(2.1528 41.4136)'),ST_GeomFromText('POINT(2.165 41.3917)'),ST_GeomFromText('POINT(2.1498 41.3713)'),ST_GeomFromText('POINT(2.1533 41.3683)'),ST_GeomFromText('POINT(2.131386 41.413998)')] as geomin
)
select CDB_TINmap(geomin, colin, 2) from data;