MATLAB Mathematics - SERC - Index of

2 Polynomials and Interpolation
Because a Voronoi cell can be unbounded, the first row of V is a point at infinity.
Then any unbounded Voronoi cell in C includes the point at infinity, i.e., the
first point in V.
This example uses the same X as in the Delaunay example, i.e., the 8 corner
points of a cube and its center. Random noise is added to make the cube less
regular. The resulting Voronoi diagram has 9 Voronoi cells:
d = [-1 1];
[x,y,z] = meshgrid(d,d,d);
X = [x(:),y(:),z(:)]; % 8 corner points of a cube
X(9,:) = [0 0 0];
% Add center to the vertex list.
X = X+0.01*rand(size(X)); % Make the cube less regular.
[V,C] = voronoin(X);
V =
Inf Inf Inf
0.0055 1.5054 0.0004
0.0037 0.0101 -1.4990
0.0052 0.0087 -1.4990
0.0030 1.5054 0.0030
0.0072 0.0072 1.4971
-1.7912 0.0000 0.0044
-1.4886 0.0011 0.0036
-1.4886 0.0002 0.0045
0.0101 0.0044 1.4971
1.5115 0.0074 0.0033
1.5115 0.0081 0.0040
0.0104 -1.4846 -0.0007
0.0026 -1.4846 0.0071
C =
[1x8 double]
[1x6 double]
[1x4 double]
[1x6 double]
[1x6 double]
[1x6 double]
[1x6 double]
[1x6 double]
[1x12 double]
2-32