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Re: [cgal-discuss] Inset and offset of General_polygon_set_2 with circle arcs


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  • From: Samuel Hornus <>
  • To:
  • Subject: Re: [cgal-discuss] Inset and offset of General_polygon_set_2 with circle arcs
  • Date: Wed, 6 Apr 2016 16:51:41 +0200

On Apr6, 2016, at 16:38 , Efi Fogel
<>
wrote:

> There comes a new question however : What is the faster way to compute the
> Minkowski sum of a circular n-gon with a Polygon_set_2<> ? Should I extract
> the constituent Polygon_with_hole_2<>’s , compute the Minkowski sum for
> each and then recombine all the results in a union ?
>
> This sounds like a good plan.
>
> Notice that Minkowski sum of polygons with holes was introduced in CGAL in
> 4.7. This released featured two implementations, namely, a superior method
> in most cases based on convolution, and a decomposition into convex pieces
> that enables Minkowski sum of polygon with holes based on decomposition. In
> addition, another optimization for the decomposition based method is
> expected to become available in version 4.9.

OK. Thank you Efi.
If it is plausible that computing the Minkowski sum directly on the
Polygon_set_2 be even faster, then let me mark that a feature wish for a
later release!
Best regards,
Samuel


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