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Re: [cgal-discuss] Arrangement_2 accept mixed type of curves


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  • From: Biswajit Biswas <>
  • To:
  • Subject: Re: [cgal-discuss] Arrangement_2 accept mixed type of curves
  • Date: Mon, 25 Dec 2017 15:51:25 +0530
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dear all;


May your home be filled with joy and love This Christmas season. Wishing you a wonderful holiday!

On Sat, Dec 23, 2017 at 8:12 PM, Efi Fogel <> wrote:
1. You can use all kind of data-structures and extensions to retain the association.
For example, you can use Arrangement_with_history_2 to retain the association of the resulting x-monotone curves and their original polyline curve inserted into the arrangement. You can extend the halfedge record with a pointer or reference to your original curve.
2. Arr_polycurve_traits_2<GeometryTraits_2> is not able to handle a curve that contains multiple types of subcurve.

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On 23 December 2017 at 11:53, EvanPi <> wrote:
I just take a look at the polyline traits class but the thing is that if I
approximate all curves using a large number of points, I would lose track of
which subsets of point defines which type of curve, which could be a problem
in case I want to delete them and insert a new type of curve. But I do find
something I overlooked, which is the polycurve traits class. According to
the documentation, "The traits class
Arr_polycurve_traits_2<GeometryTraits_2> handles piecewise curves that are
not necessarily linear, such as conic arcs, circular arcs, Bezier curves, or
line segments". Is it able to handle a curve that contains multiple types of
subcurve? If so, could you provide a quick example?



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