Getting base Line of PostGIS skeleton

Question

I'm interested in using OGR/GDAL, PostGIS, or QGIS in order to achieve the following:

Working from the PostGIS docs, how would one further simplify this line to the middle line? I've tried utilizing the ST_Simplify function as well as the ST_SimplifyVW and it doesn't seem to have any affect. Here is an example of what is depicted on the docs:

SELECT ST_GeomFromText('POLYGON (( 190 190, 10 190, 10 10, 190 10, 190 20, 160 30, 60 30, 60 130, 190 140, 190 190 ))',4326)

Here is what I've tried:

SELECT st_simplifyvw(ST_StraightSkeleton(st_union(ST_GeomFromText('POLYGON (( 190 190, 10 190, 10 10, 190 10, 190 20, 160 30, 60 30, 60 130, 190 140, 190 190 ))',4326))),10);

And basically what I'm trying to extract is the black line by trimming the branches off (so to speak):

Answer 1

A simple approach to "trim the branches" could be by longitude but is not a complete solution.

with lines as (
SELECT 
st_subdivide(
st_straightskeleton( ST_GeomFromText('POLYGON (( 190 190, 10 190, 10 10, 190 10, 190 20, 160 30, 60 30, 60 130, 190 140, 190 190 ))',4326)), 5) segment
,st_length(
st_subdivide(
st_straightskeleton( ST_GeomFromText('POLYGON (( 190 190, 10 190, 10 10, 190 10, 190 20, 160 30, 60 30, 60 130, 190 140, 190 190 ))',4326)), 5)) longitude ) 
select segment from lines where longitude>20;