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Re: [cgal-discuss] Changed cells in Delaunay_triangulation_3


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  • From: Jane Tournois <>
  • To:
  • Subject: Re: [cgal-discuss] Changed cells in Delaunay_triangulation_3
  • Date: Mon, 12 Sep 2016 15:03:36 +0200
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Insertion is done before removal, but the logic remain the same.

The function that actually does the job is

Vertex_handle
move_point_topo_change(const Vertex_handle& old_vertex,
const Point_3& new_position,
OutdatedCellsOutputIterator outdated_cells,
DeletedCellsOutputIterator deleted_cells) const;

this function collects the removal AND insertion conflict cells,

then, it inserts `new_position`, removes `old_vertex`,

and finally collects the outdated cells with the function `get_conflict_zone_topo_change` : the union of cells incident to the newly created vertex, with the cells in conflict with the re-insertion of `old_vertex`'s position.

It is indeed equivalent to what I said before.

Best,

Jane.



Le 09/09/2016 à 18:36, Brown, James 2 a écrit :
Vertex_handle move_point(const Vertex_handle& old_vertex,
const Point_3& new_position,
Outdated_cell_set& outdated_cells_set,
Moving_vertices_set& moving_vertices) const;
does exactly what you need.
Yes, this is the function that I am looking at.

- collect the incident cells to v
- remove v
- triangulate the cavity --> triangulation T1
- collect cells in conflict with the insertion of newpoint : T2
- insert newpoint
- collect incident cells to new vertex : T3
the newly created cells after removal + insertion is T1-T2+T3.
Sorry if I am missing something, but this is not quite the process that is
happening in move_point (though it must be equivalent?):
- In move_point the new (outdated) cells are just the conflict cells of the
old position in the final triangulation.
- As well it is doing removal after insertion of the new point (so the
insertion conflicts are calculated from the original triangulation before
removal)
Is move_point taking a shortcut? It is not obvious to me that it yields the
same results as your suggested process.




--
Jane Tournois, PhD
R&D Engineer at GeometryFactory
http://www.geometryfactory.com/




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