# Does power diagrams have differentiability?

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## Does power diagrams have differentiability?

 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 ----- be open, be creative, be critical -- Sent from: http://cgal-discuss.949826.n4.nabble.com/-- You are currently subscribed to cgal-discuss. To unsubscribe or access the archives, go to https://sympa.inria.fr/sympa/info/cgal-discuss be open, be creative, be critical
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## Re: Does power diagrams have differentiability?

 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 ([hidden email] 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 > > > > ----- > be open, be creative, be critical > -- > Sent from: http://cgal-discuss.949826.n4.nabble.com/> -- You are currently subscribed to cgal-discuss. To unsubscribe or access the archives, go to https://sympa.inria.fr/sympa/info/cgal-discuss