"Difference failed" error when using difference tool with point layers as input and overlay in QGIS

Question

Is it possible in QGIS 3.16 to use the geoprocessing tool "Difference" with point layers as input and overlay?

The documentation seems to indicate that it is. However, when I do a test with very simple layers, it gives a GEOS geoprocessing error:

difference failed

The input layer has 10 points, and the overlay has 6 points - these 6 points are in the exact same location as 6 points in the input layer.

Answer 1

I get the same error. How to solve the problem:

1. Apply a (small) buffer of the same size around both point layers.
2. Run the Difference tool on these buffers.
3. From the resulting buffers (the difference), get the centroids.

And here you are with the difference-points you want.

Answer 2

An option to use difference function with point geometries is using QGIS expressions with Geometry generator or Geometry by expression (see here for details) with this expression:

difference (
    $geometry,
    aggregate('points_2', 'collect', $geometry
))

Expression used on layer points_1 (10 red dots) with difference from points_2 (6 blue triangles) results in 4 points (black rings) of points_1 that don't overlap points_2: