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Re: [cgal-discuss] Does power diagrams have differentiability?


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  • From: Bruno Levy <>
  • To: "Frank Dz ( via cgal-discuss Mailing List)" <>
  • Subject: Re: [cgal-discuss] Does power diagrams have differentiability?
  • Date: Sun, 6 Sep 2020 14:32:24 +0200

Hi Frank,

To do that, you can proceed as follows:


1) write the equation of the coordinates of the circumcenter of a triangle in function of the coordinates of the three vertices of the triangle

2) compute their derivative


Using matrix derivation rules helps (https://tminka.github.io/papers/matrix/minka-matrix.pdf)

I did that in the following article (see in particular the appendix)

https://hal.inria.fr/inria-00600251/fr/


Hope this helps,

-- Bruno



On 9/6/20 1:48 PM, Frank Dz ( via cgal-discuss Mailing List) wrote:
Does power diagrams have differentiability?

How can we build up the connection between a vertex of the diagram and the
seed in Power Diagram?

Best,
Thanks

Frank



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