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Re: determining boundary of a region in n-dimensional euclidean space

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  • Subject: [mg117177] Re: determining boundary of a region in n-dimensional euclidean space
  • From: Daniel Lichtblau <danl at wolfram.com>
  • Date: Thu, 10 Mar 2011 16:02:34 -0500 (EST)

Nabeel Butt wrote:
> Dear Mathematica lovers ,
>                 A simple but interesting question which would help me in my
> research.I have written mathematica programs which help me define a region
> in terms of numerical points in that space.Visualising the boundary if the
> region is not difficult since it is just a simple plotting task.I am however
> interested in determining a smooth functional equation for the boundary of
> the region or even the set of points on boundary.Does there exist
> Mathematica programs or built-in functions that could effectively deal with
> this kind of problem.
>                Thanks in advance !
>         I have uploaded the file on web and the link is :
> http://www.megaupload.com/?d=EYOAPU9Q
>                   Nabeel

Is there some reason not to define it based on interpolation of the 
actual boundary points? This could be done with ListInterpolation.

Daniel Lichtblau
Wolfram Research



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