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Create new feature point at minimum distance between numerous points

Question asked by cl_calamaio on Jan 25, 2017
Latest reply on Jan 25, 2017 by cl_calamaio

Is there a tool or workflow that can create a feature at minimum distance or equal distance between several points? This is a general question but to clarify I've attached a couple images to show what I mean with three points:


Below are a couple candidate points:


Here I've created a some Thiessen Polygons:

Then I convert the vertices of the Thiessen polygons to points and select the point at the center:

This is just a simple example of what I'd like to learn how to do on a larger scale, e.g. to create more than one "minimum distance" points over an area containing a lot more candidate points. The goal is to automate this as well so the user doesn't have to go in and select the points located between the desired points and omit those on the edge.


Any thoughts, advice, or references to similar posts would be greatly appreciated. Thanks!