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- From: Menelaos Karavelas <>
- To:
- Subject: Re: [cgal-discuss] Re: Voronoi diagram vertices
- Date: Wed, 9 May 2012 14:50:16 +0300
Yes it does matter.
Given two sites A,B,C (no order associated with them yet) you can have up to
two Voronoi circles/vertices.
The two different Voronoi vertices are distinguished by the ordering of the
three sites: A,B,C gives you one of the two vertices and B,A,C the other.
Cyclic shifts do not count, i.e., A,B,C and B,C,A and C,A,B give you the same
Voronoi vertex...
The ordering A,B,C or B,A,C corresponds to the order that you "discover" the
points of tangency of the sites defining Voronoi circle as you walk ON the
Voronoi circle in the counterclockwise sense.
- m.
On 9 May 2012, at 14:44, smurf wrote:
> Hi,
>
> Regarding the Construct_svd_vertex_2 functor, does it matter the
> order in which the input sites are passed? For example in the third example
> of the documentation *[1]* it is written that the two vertices of the vornoi
> edge are defined by the sites A,B,C and B,A,D.
> Does this have any relevance on how the vertices should be passed to
> the functor?
>
> I am asking this because if I pass A,B,D for the second vertex sometimes I
> get wrong results.
>
>
> *[1]
> http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Segment_Delaunay_graph_2/Chapter_main.html*
>
> Kind regards
>
>
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- [cgal-discuss] Re: Voronoi diagram vertices, smurf, 05/09/2012
- Re: [cgal-discuss] Re: Voronoi diagram vertices, Menelaos Karavelas, 05/09/2012
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