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Re: [cgal-discuss] some further questions on convex hull


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  • From: Monique Teillaud <>
  • To:
  • Subject: Re: [cgal-discuss] some further questions on convex hull
  • Date: Fri, 15 Apr 2016 17:32:21 +0200

depends how you define ‘trouble’… 

As I said, the triangulation of polygonal facets is not unique. 

On 15 Apr 2016, at 16:38, Pratyush Pranav <> wrote:

oops yes, sorry..they are coplanar points actually..i am not sure what i was thinking. so this is potentially trouble?



On 15 Apr 2016, at 14:15, Pratyush Pranav <> wrote:



On 14 Apr 2016, at 10:10, Pratyush Pranav <> wrote:
 by the way, is it true that a simplex that belongs to convex hull may actually not be a part of the triangulation?

not sure what you mean. Of course if you have coplanar points on the CH, then the triangulation of a facet with >3 vertices is not unique. The facet can be triangulated in some way by some algorithm, and in a different way by another. 


i do not think i am encountering this case…my points points for triangulation are on s2, so no coplanar points really,

ah? what about points on a circle drawn on the sphere?

--
Monique Teillaud 
http://www.loria.fr/~teillaud/ 
INRIA Nancy - Grand Est, LORIA 
Institut National de Recherche en Informatique et Automatique 






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