VoronoiMesh for 3D points

Asked Jul 14 '14 at 23:51

Active Jul 15 '14 at 00:13

Viewed 505 times

I believe that this is a doc error in V10 (this was programmed to be but not implemented). The new VoronoiMesh should work for 3D set of points.

The DelaunayMesh function works. Here is a doc example:

pts = RandomReal[{-1, 1}, {25, 3}];
DelaunayMesh[RandomReal[{-1, 1}, {25, 3}]]

enter image description here

But if you try:

pts = RandomReal[{-1, 1}, {25, 3}];
VoronoiMesh[pts]

You get the error: enter image description here

Docs for Voronoi say:

The cells will be intervals in 1D, convex polygons in 2D, and convex polyhedra in 3D.

Tested in V10.0.0 for Mac and Win.

edited Jul 15 '14 at 00:13

asked Jul 14 '14 at 23:51

Murta

1

I have already talked about this here. I'm not so sure it is a bug, rather it has not been implemented but planned. Because internally the new Mesh functions rely on TetGen which supports 3D voronoi diagrams but somehow this functionality has been omitted. – RunnyKine Jul 15 '14 at 00:02
@Szabolcs no! Typo. – Murta Jul 15 '14 at 00:14
Not implemented in V10.0.1 yet – Murta Sep 17 '14 at 01:38
I didn't expect it to be implemented. When I asked about it in one of the online seminars they had, their response made me believe it will come in V11 or later. – RunnyKine Sep 17 '14 at 02:18
... and it hasn't come as of v12.2. – SnzFor16Min Jan 26 '21 at 04:05

0 Answers0