[Alpha_complex_3d] CGAL new periodic features

[mglisse]

CGAL is in the process of extending its periodic triangulations: https://github.com/CGAL/cgal/pull/4914

• we may need/want to update the C++ Alpha_complex_3d after that
• it would be nice to provide periodic 2d alpha-complexes
• this may affect how we present the future python interface exactly.

[MaelRL]

Note that the existing periodic triangulations are compatible with CGAL's alpha shapes, see https://doc.cgal.org/latest/Alpha_shapes_2/Alpha_shapes_2_2ex_periodic_alpha_shapes_2_8cpp-example.html / https://doc.cgal.org/latest/Alpha_shapes_3/Alpha_shapes_3_2ex_periodic_alpha_shapes_3_8cpp-example.html.

Do you have any specific requests on the periodic packages while I am working on them? (No promises I can do it, though :).)

[mglisse]

Hi @MaelRL,

Note that the existing periodic triangulations are compatible with CGAL's alpha shapes,

Yes, we are already using that in gudhi in this wrapper http://gudhi.gforge.inria.fr/doc/latest/class_gudhi_1_1alpha__complex_1_1_alpha__complex__3d.html

(but not the 2d version yet) My comment was about updating the gudhi wrapper(s) to reflect your changes, assuming your new version with non-rectangular domains remains compatible with CGAL's alpha shapes.

Do you have any specific requests on the periodic packages while I am working on them? (No promises I can do it, though :).)

Making sure the new versions are still compatible with Alphashape[23] is the only thing that comes to mind. Unless you want to create a dD version of course :wink: .