CGAL users discussion list

[Marc Alexa <>]

Hi Bruno,

Thanks for the reminder of these results. Do you know any write-up that 
derives the gradient wrt. the weights in a weighted Delaunay triangulation 
(away form the discontinuities because of combinatorial changes)?

Thanks!
-Marc



> On 6. Sep 2020, at 14:32, Bruno Levy <> wrote:
> 
> 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
>> 
>> 
>> 
>> -----
>> be open, be creative, be critical
>> --
>> Sent from: http://cgal-discuss.949826.n4.nabble.com/
>> 
> 
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