If I understand you right your assumption is true.
What makes you wondering?
In 2d you will always get the distance to a vertexpoint in at least one of the
two geometries.
You can use ST_ShortestLine to see between what points the distance is
calculated.
So:
SELECT ST_Distance('LINESTRING(1 1, 1 10)'::geometry, 'LINESTRING(2 5, 10
5)'::geometry);
returns 1
and
SELECT ST_AsText(ST_ShortestLine('LINESTRING(1 1, 1 10)'::geometry,
'LINESTRING(2 5, 10 5)'::geometry));
returns 'LINESTRING(1 5, 2 5)'::geometry
geography type calculations is of course another story.
HTH
Nicklas
2013-10-18 Peter Hopfgartner wrote:
I took it for granted, that ST_Distance between two two dimensional
>geometries followes the definition of
>
>dist(A, B) = inf(d(a,b)), where a is an arbitrary point in set A and b
>an arbitrary point in set B and d() is the euclidean distance
>
>For some reason I'm now wondering if my assumption is true.
>
>Thanks for your patience,
>
>Peter
>
>--
>Peter Hopfgartner
>R3 GIS
>
>web : http://www.r3-gis.com
>
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