CGAL users discussion list

["Sebastien Loriot (GeometryFactory)" <>]

MrVH wrote:
> Thank you for your answer. I know that indices begins at 0, and my weight is
> the square of my radius. I think I almost have what I'm looking for  (thank
> you very much for your help) ;)
>
> I check with assert the dimension.
> For Edge interior, singular, regular it is OK
> For Edge exterior lot of edge are too big
>
> For Facet I found that interior is a subset of Edge
> (interior+singular+regular)
> For facet exterior, singular, regular -> log of edge too big
EXTERIOR edges or not in the alpha complex.
> For Cell interior it is a subset of Edge(interior+singular+regular)
> For Cell exterior log of edge are too big
> There is no both singular and regular Cell
There are only two states for (3D) Cell as they are of highest
possible dimension. Please read again the manual for the definition.
> If I want to analyse contact between my atoms, if I take Edge interior,
> singular, regular, do I miss contact or I have to take Facet and Cell too ?
> Edge does not contains all decomposition of Facet and Cell plus incomplete
> facet and Cell ?
>
> I don't understand on manual meanings of Cell, Facet and Edge, and the
> meanings of interior, exterior, singular, regular.
A simplex is in the alpha-complex if its (weighted) squared radius is 
smaller or equal to a given alpha. Simplices in the alpha-complex are
either INTERIOR,SINGULAR or REGULAR (see the manual for precise definition).

> I use GENERAL mode for alphaShape cause it is by default and I don't
> understand the GENERALIZED mode.
REGULARIZED mode remove all SINGULAR simplices.

> Thank you for your help.
>
>