Volume of voronoi cell in 3D

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.

Answer 1

[Matt J]

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.