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I'm trying to get all the points from a Self-Intersection Line String but not find out the self intersection point in the below attached image.

The intersection point touches on the same feature how to find out the self intersection point in postGIS?

enter image description here

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PostGIS has a rich functionality, as an option you can solve your problem as follows:

select st_intersection(a.geom, b.geom) as geom from yuor_table_name as a, yuor_table_name as b where st_touches(a.geom, b.geom);

Try to dig deeper...

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