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Hello,
I am working on generating a vertex mapping file that identifies corresponding 
vertices across different levels of an icosahedral mesh. Specifically, for 
ico6, I want to determine which vertices contribute to each vertex in ico5 when 
downsampling is performed.
Currently, I approximate this mapping using Euclidean distance: for each vertex 
in ico5, I find the n closest vertices in ico6 based on their (x, y, z) 
coordinates, then average across these. However, I’m wondering if there is a 
more formal or standard approach to defining these vertex 
correspondences—perhaps one based on the hierarchical structure of icosahedral 
refinement.
Would you have any suggestions for a more principled method to determine vertex 
equivalence across levels?
Thanks,
Sam


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