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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg117659] Re: determining boundary of a region in n-dimensional euclidean space
  • From: Christopher Henrich <chenrich at monmouth.com>
  • Date: Tue, 29 Mar 2011 06:55:18 -0500 (EST)
  • References: <ilbebl$b2o$1@smc.vnet.net>

In article <ilbebl$b2o$1 at smc.vnet.net>,
 Nabeel Butt <nabeel.butt at gmail.com> wrote:

> Hi Daniel
>       Thanks for your response.Actually the problem is two-fold here.The
> first step is to actually extract the boundary points from a set of points
> in a list.I have found that built-in ConvexHull function in mathematica can
> do for 2-dimensions this extraction process.There exists a program also for
> 3-dimensions written in mathworld.To my best of my knowledge it hasnt been
> implemented in higher dimensions that well in mathematica(was just a random
> google search though !!) . Anyways after we get the list for boundary
> points , like you said I can use Interpolation on list to represent it
> numerically.What I am more interested in is actually extracting the boundary
> points from a set of points -Does there exist more robust convexhull like
> functions for higher dimensions ? Or after having a list of points I can
> send them to another software which helps me get the convex hull in high
> dimensions.Possibly if I can call another software inside mathematica that
> would be great.
>        Thanks once again.
>                                   Nabeel

Here is a framework from the Wolfram Library Archive, which may be 
helpful to you:
http://library.wolfram.com/infocenter/MathSource/7034/

-- 
Christopher J. Henrich
chenrich at monmouth.com
http://www.mathinteract.com
"A bad analogy is like a leaky screwdriver." -- Boon


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