Face vertices of a 3D voronoi cell

I have generated a 3D Voronoi tessellations from a set of random seed points. Now, how can I determine the number of faces and the vertices that form each face for each 3D Voronoi cell?

P = rand(10, 3); % Example: 10 random points in 3D 
[V, C] = voronoin(P);

C{i} gives me the indices of all the vertices that form the cell but I need information for the faces.

Your help and sopport is very much appreciated.

Thank you.

Answer 1

[Umar]

Hi Vinit,

Try utilizing the voronoin function in MATLAB. After obtaining the cell indices using C{i}, you can extract the face information by analyzing the cell structure. Each cell in C contains information about the vertices that form the cell. By examining the relationships between these vertices, you can identify the faces and their corresponding vertices for each cell.

For more information on this function, please refer to

https://www.mathworks.com/help/matlab/ref/voronoin.html

Hope this will help resolve your issue.