4 ms·
For spherical geometry you should not need to do anything special, no ? Compute the Voronoi tessellation as usual and then project the linear separators back t
by srean 5mo ago
For spherical geometry you should not need to do anything special, no ?
Compute the Voronoi tessellation as usual and then project the linear separators back to the sphere (by connecting points on it to centre and extending the ray to the spherical surface).
- orthoxerox 5mo agoYeah, but that's basically projecting 3D geometry back onto the sphere (which is also what I ultimately did). There's a faster algorithm that does it "on the sphere", which I thought I used, but turns out I was wrong. I think it was this one: https://www.math.kent.edu/~zheng/papers/voronoi_paper_updated.pdf https://www.math.kent.edu/~zheng/papers/voronoi_paper_update... or this one http://nautilus.fc.ul.pt/jd/jd10sphere.pdf http://nautilus.fc.ul.pt/jd/jd10sphere.pdf
- srean 5mo agoAh! I see. Thanks for the reference.