this post was submitted on 19 Mar 2025
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:: Additively weighted Voronoi diagram ::

I wrote this implementation many years ago, but I feel it didn’t receive the recognition it deserved, especially since it was the first freely available. So, better late than never—I’d like to present it here. It’s an algorithm for computing the Weighted Voronoi Diagram, which extends the classic Voronoi diagram by assigning different influence weights to sites. This helps solve problems in computational geometry, geospatial analysis, and clustering, where sites have varying importance. While my implementation isn’t the most robust, I believe it could still be useful or serve as a starting point for improvements. What do you think?

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