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- From: Tapadi <>
- To:
- Subject: [cgal-discuss] Re: Area of convex polygons with non-constant density
- Date: Wed, 29 May 2013 06:40:21 -0700 (PDT)
Hi again,
Indeed a linear interpolation is way better than the constant approximation,
though the formulas are a bit trickier to implement.
Instead of "value of the density at triangle's center" x "area of the
triangle", you can compute the volume between 1. the triangle whose each
vertice receives a z-coordinate equal to its density value and 2. the z = 0
plane.
Note that you can in all cases gain precision with the max area condition
and the derivative computation.
Best regards,
Hugo Loi
PhD student at Inria - Maverick team
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- [cgal-discuss] Re: Area of convex polygons with non-constant density, (continued)
- [cgal-discuss] Re: Area of convex polygons with non-constant density, Tapadi, 05/27/2013
- [cgal-discuss] Re: Area of convex polygons with non-constant density, liudaisuda, 05/28/2013
- [cgal-discuss] Re: Area of convex polygons with non-constant density, liudaisuda, 05/29/2013
- [cgal-discuss] Re: Area of convex polygons with non-constant density, liudaisuda, 05/29/2013
- [cgal-discuss] Re: Area of convex polygons with non-constant density, Tapadi, 05/29/2013
- Re: [cgal-discuss] Re: Area of convex polygons with non-constant density, 杨成林, 05/29/2013
- [cgal-discuss] Re: Area of convex polygons with non-constant density, liudaisuda, 05/29/2013
- Re: [cgal-discuss] Re: Area of convex polygons with non-constant density, Olivier Devillers, 05/29/2013
- Re: [cgal-discuss] Re: Area of convex polygons with non-constant density, 杨成林, 05/29/2013
- [cgal-discuss] Re: Area of convex polygons with non-constant density, liudaisuda, 05/29/2013
- [cgal-discuss] Re: Area of convex polygons with non-constant density, Tapadi, 05/29/2013
- [cgal-discuss] Re: Area of convex polygons with non-constant density, liudaisuda, 05/31/2013
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