Volume of voronoi cell in 3D

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Pranab Bhuyan
Pranab Bhuyan 2015-5-10
回答： Matt J 2015-5-10
If I have a set of coordinates in the form (x,y,z), how do I calculate the volume of the Voronoi cells?
Say, I have the following coordinates:
0.1963 1.1751 0.0666
-1.1409 -0.8525 -0.4850
-0.0370 -0.8769 -0.3846
-0.7597 0.8509 -0.3084
1.0492 1.3399 -0.5731
0.1276 -1.8757 -0.6822
0.0427 -1.5727 0.3952
-1.4813 -0.2035 1.1383
-0.7175 0.3983 1.4455
1.4999 1.0951 1.4569
Now, I want to construct all the possible voronoi cells and get their volumes. How to do?
Your help will be highly appreciated.

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回答（1 个）

Matt J
Matt J 2015-5-10
Should be a simple matter of using voronoin() to get the vertices of all the cells. Then, for each cell, you can use convhulln() to get the volumes.

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