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Re: [cgal-discuss] Calculating position of point in space ?


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  • From: "Sebastien Loriot (GeometryFactory)" <>
  • To:
  • Subject: Re: [cgal-discuss] Calculating position of point in space ?
  • Date: Fri, 03 Feb 2012 11:40:51 +0100

You can compute the intersection of 4 spheres centered at your 4 points with radius being the distance to the points you are looking for.
Note that in general you have two such points (in degenerate cases you
can have a sphere, a circle or a single point).

You'll need to use the Spherical_kernel_3.

Have a look at:
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Circular_kernel_3_ref/FunctionObjectConcept_SphericalKernel--Intersect_3.html#Cross_link_anchor_902
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Circular_kernel_3_ref/Class_Exact_spherical_kernel_3.html#Cross_link_anchor_863

Sebastien.

On 02/03/2012 08:54 AM, Adam wrote:
Hello All !!!

I’m new here and I lack knowledge so please bear with me.
I have a problem. I have to calculate position of point in space having
distance from 4 known points.
Is it possible to calculate this position in use of CGAL library?
If not, may be some knowledgeable users can point me in the right direction.


Regards,
Adam


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