Voronoi boundaries

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Jakob Sievers
Jakob Sievers on 5 Dec 2011
Commented: Bruno Lopes on 20 Feb 2022
Hi guys
the program voronoiDiagram gives the vertices of a voronoi decomposition of a set of scattered datapoints. These vertices do, however, extend beyond the rectangular domain containing the datapoints. Does anyone know of a routine/method/program which allows the vertices to extend no further than the boundary of the domain?
I have been trying, in vain, to set up my own routine based on the voronoiDiagram output, but it has become a bit more unmanageable than I had foreseen.
Thanks in advance!

Accepted Answer

Jakob Sievers
Jakob Sievers on 3 Jan 2012
It seems no-one has heard of a routine which does what I need, so I spent some time making one myself. Anyone who stumble across this thread with a similar question, can check it out HERE.
  2 Comments
Bruno Lopes
Bruno Lopes on 20 Feb 2022
You're a kind soul, man. Thank you very much. I hope there are more people like you in the scientific world.

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More Answers (3)

the cyclist
the cyclist on 5 Dec 2011
I am not very familiar with these techniques, but I wonder if the convhull() or trisurf() commands are closer to what you want.

S
S on 20 Jun 2012
Many thanks, I was just looking for something like this.

Preetham Manjunatha
Preetham Manjunatha on 8 Feb 2022
If the Voronoi Diagram bounded region is rectangle or square, here is the link function to clip the extending edges of the Voronoi Diagram for rectangular/ square region. Rigorously tested on the random points, this function can process an input data set of 2000 seed points in 2D in about 0.015 seconds on average.

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