Removing both sets of duplicate points

You have several way, I use QGis 3.5

1. In the processing toolbox, go to vector general > delete duplicate geometries. Then select your layer and as output you will have a new "cleaned" layer.

2. You can also use the Topology checker plugin and then you check for duplicates geometries.

In the first method, QGis will do everything automatically and in the second one, you will do it manually. You have many other method to check the topology and then delete duplicates, like for example check geometries

See below the interface of the topology checker

Hope this help,

I've worked out a way to do this - although it does not involve deleting all duplicate points (including the 'all but one' normally left by duplicate points.

Instead I have:

• Created a buffer around the polygon layer and dissolved the result
• Changed the buffered polygon layer to lines
• Exploded lines
• Ran this code:

layer = iface.activeLayer()
temp = QgsVectorLayer("Point?crs=epsg:27700", "result", "memory")

temp.startEditing()

attrs = layer.dataProvider().fields().toList()
temp_prov = temp.dataProvider()
temp_prov.addAttributes(attrs)
temp.updateFields()

for elem in layer.getFeatures():
  feat = QgsFeature()
  geom = elem.geometry().interpolate(elem.geometry().length() / 2) 
  feat.setGeometry(geom)
  feat.setAttributes(elem.attributes())
  temp.addFeatures([feat])
  temp.updateExtents()

temp.commitChanges()
QgsProject.instance().addMapLayer(temp)

• I have then used 'join by nearest feature' to retain the attributes in my original shapefile layer. Requires a bit of tidying up as first lot of features is from the buffered file, but does what I want it to do!