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MathGroup Archive 1999

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Re: Intersection of 3DGraphics!?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg18776] Re: Intersection of 3DGraphics!?
  • From: Martin Kraus <Martin.Kraus at informatik.uni-stuttgart.de>
  • Date: Tue, 20 Jul 1999 01:33:32 -0400
  • Organization: Comp.Center (RUS), U of Stuttgart, FRG
  • References: <7mp28m$l7h@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Tilo Eggeling wrote:
> 
> I am interested in the intersection area of two 3D objects. Let's take an
> ellipsoid and a hyperboloid intersecting each other. How can i draw the
> intersection area lying inside of the ellipsoid without having to compute
> the the intersection curve?
> I tried converting it to surfacegraphics for to use the ClipFill option but
> it doesn't work. Using ContourPlot3D isn't satisfactory as you have to know
> the intersection curve. Having parametrized the two objects i tried to use
> ParametricPlot3D but unfortunately one needs different sets of parameters
> for these two objects. Shouldn't it be possible to draw only the inner
> intersection area of any two 3D objects? I would be grateful for ANY
> IDEAS!!!!!
> 
> Tilo Eggeling
> Institute for Mathematical Physics
> Technical University of Braunschweig
> Germany (Europe)
> t.eggeling at tu-bs.de

Should be possible with ContourPlot3D by plotting the isosurface 
for any value between 1 and 2 (exclusive) of a function which is the 
sum of two functions which are 1 inside an object and 0 outside.
Sorry, I cannot test this right now.

Does this idea work? 

Martin Kraus


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