POV-Ray : Newsgroups : povray.general : Sweep of a parametric surface : Re: Sweep of a parametric surface Server Time
10 Jun 2024 17:16:53 EDT (-0400)
  Re: Sweep of a parametric surface  
From: clipka
Date: 4 Nov 2015 12:16:05
Message: <563a3d55$1@news.povray.org>
Am 04.11.2015 um 15:36 schrieb MCotr:
> Hi,
> I've been trying to solve this problem by looking around, but I didn't find any
> solution.
> 
> I define a parametric surface in this way
> 
> #declare SlabPhC2=   parametric {
>     function { u }
>     function { v }
>     function { MaxDisp*(cosh(sigma*u) - cos(sigma*u) + (sinh(sigma*u) -
> sin(sigma*u))*B)}
> 
>     <0,0>, <L_Slab,W_Slab>
>     contained_by { sphere{0, 10} }
>     accuracy 0.01
>     precompute 10 x,y,z
>     pigment {rgb <0.98, 0.83, 0.58>}
>   }
> 
> 
> where MaxDisp, sigma, B, L_Slab and W_Slab are all parameters defined elsewhere.
> Basically the surface is a rectangular surface bended towards the z axis.
> 
> Now I would like to sweep this surface along the z direction for a certain
> distance, in order to get a bended slab with a certain tichkness.
> 
> Does anybody know how to do it?

If you have a parametric with the structure

    parametric {
        function { u }
        function { v }
        function { f(u,v) }
    }

then, if I'm not mistaken, a corresponding sweep could be created using
an isosurface with the structure

    isosurface {
        function { abs(z-f(x,y)) }
    }

and a threshold equal to half the desired sweep distance. The result
will be centered around the original parametric.


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