Re: Delaunay/Voronoi intersected with boundary

Posted by Kenneth Sloan-2 on
URL: http://imagej.273.s1.nabble.com/Delaunay-Voronoi-intersected-with-boundary-tp5016272p5016274.html

I’d have to see diagrams to see if the cases are similar, but in analogous cases I restrict analysis to Voronoi regions whose vertices are INSIDE the bounding area.

In most Voronoi analysis, it is wise to eliminate a border region.  The precise method for doing this depends on the problem.

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Kenneth Sloan
[hidden email]
Vision is the art of seeing what is invisible to others.




> On Apr 28, 2016, at 16:06 , schiriki <[hidden email]> wrote:
>
> Hello,
>
> I have the following problem: I have a number of particles within a certain
> boundary shape (the cell). I am interested in measuring the average distance
> of a particle to its neighbours. A neighbor would be defined by the Voronoi
> diagramm as particles with a common edge in the Voronio map.
>
> I am aware that the Delaunay triangulation can gives me precisely that, but
> there is one problem: It doesn't take into account the boundary of the
> domain. I.e. two particles will be considered neighbors, even if their
> Voronoi domains intersect OUTSIDE of the full domain (the cell).
>
> Does anyone have an idea to avoid this?
>
> Thank you and many regards,
> Angelika
>
>
>
>
>
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