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I need an operations in PostGIS to eliminate intermediate vertexes in a polygon to rectify the walls of a building.

I was revising http://trac.osgeo.org/postgis/wiki/UsersWikiExamplesSpikeRemover but it only works to eliminate spikes.

example:

example

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Applying a douglas-peucker filter with a small parameter value (like one meter) should remove these points. See ST_Simplify.

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