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RE: [cgal-discuss] 2d weighted alpha shapes - various radii


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  • From: "Eggersdorfer Maximilian" <>
  • To: "" <>
  • Subject: RE: [cgal-discuss] 2d weighted alpha shapes - various radii
  • Date: Wed, 5 Jan 2011 09:17:52 +0000
  • Accept-language: en-US, de-CH

Dear Monique,

thank you for your reply. It works as you described.

Thank you
Max

Max Eggersdorfer
Particle Technology Laboratory, ETH Zürich
Sonneggstrasse 3, ML F 18
CH-8092 Zurich (Switzerland)
+41 44 632 39 52


________________________________________
From: Monique Teillaud
[]
Sent: Wednesday, January 05, 2011 8:20 AM
To:

Subject: Re: [cgal-discuss] 2d weighted alpha shapes - various radii

Dear Max,

The 2D and 3D alpha shapes are working the same way. You can put a
regular triangulation as template parameter of the alpha shape class,
and get a weighted alpha shape. There, input points are weighted, and
weights can actually be different.

Best regards,
Monique

Eggersdorfer Maximilian wrote:
> Thank you for your quick reply, Andreas!
>
> I only used the 3d weighted alpha shapes before. There you could first
> create a triangulation and a weight for each point (weight = radius^2).
> With the triangulation I could create the alpha shapes. I am wondering if
> it is possible to do the same in 2d. I did not find this in the online
> manual for 2d alhpa shapes and in the example all weigths are the same. I
> tried to use the 3d code with a data set in 2d but it did not work.
>
> Thanks again!
> max
>
>
>
> Max Eggersdorfer
> Particle Technology Laboratory, ETH Zürich
> Sonneggstrasse 3, ML F 18
> CH-8092 Zurich (Switzerland)
> +41 44 632 39 52
>
>
> ________________________________________
> From: Andreas Fabri
> []
> Sent: Tuesday, January 04, 2011 8:59 PM
> To:
>
> Subject: Re: [cgal-discuss] 2d weighted alpha shapes - various radii
>
> hi maximilian,
>
> the alpha has to do with the ball moving around.
> if all radii are the same you obtain something
> almost identical to just points.
>
> andreas
>
>
> On 04/01/2011 19:36, Eggersdorfer Maximilian wrote:
>> Hello Everybody,
>>
>> I try to use the 2d weighted alpha shapes to calculate the projected
>> surface area of a union of balls. As far as I understand the alpha value
>> is the same for all points (all circles have the same radius). Has anybody
>> used 2d weighted alpha shapes already with various radii for different
>> points?
>>
>> Thanks in advance!
>> Best
>> Max
>>
>>
>> Max Eggersdorfer
>> Particle Technology Laboratory, ETH Zürich
>> Sonneggstrasse 3, ML F 18
>> CH-8092 Zurich (Switzerland)
>> +41 44 632 39 52
>> <mailto:>
>>
>
>
> --
> Andreas Fabri, PhD
> Chief Officer, GeometryFactory
> Editor, The CGAL Project
>
> phone: ++33.492.954.912 skype: andreas.fabri
>
> --
> You are currently subscribed to cgal-discuss.
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>
>


--
Monique Teillaud
INRIA Sophia Antipolis - Méditerranée
http://www.inria.fr/sophia/members/Monique.Teillaud/

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