I am a relatively new user working in Manifold 8.
I have a layer of 5295 points in Bénin, in projection UTM 31N, around which I would like to trace Voronoi areas and then generate an output layer projected in Lat/Long.
When I generate my Voronoi areas in UTM 31N, I obtain 5,295 areas as expected. When I change the projection of the layer to Lat/Long and then generate the areas, I obtain 5291 areas.
I have four points that are each very close to another point (<0.1 meters, without being geom duplicates), and I suspect that the difference in the number of areas drawn in the two projections is a question of loss of precision when my X,Ys are translated into degrees by the projection change, and then (hypothesis on my part!) back into X,Y by the Voronoi algorithm, which makes the points "appear" to be perfect superpositions for the Voronoi areas.
Is that correct? Could someone provide a robust explanation for the difference and/or a good rule of thumb for working with Voronoi (e.g. "always work in X,Y because Voronoi works in X,Y" or "always work in the projection of the source data") please?
Thank you very much in advance!