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Re: Plotting a phase boundary

  • To: mathgroup at
  • Subject: [mg61315] Re: Plotting a phase boundary
  • From: Roger Bagula <rlbagulatftn at>
  • Date: Fri, 14 Oct 2005 22:22:58 -0400 (EDT)
  • References: <dio1dp$sp5$>
  • Sender: owner-wri-mathgroup at

I used a CA ( Cellular Automata) as a filter to do
in complex dynamics about ten years ago in another language.
Such a filter would work on your data too,
I think.  Such filters are used in many graphics application programs ( 
Like Photoshop) and have been for at least 20 years.
dkjk at wrote:
> I have a series of Table objects, each consisting of a 100 x 100 matrix
> divided into a region of 1's and 0's. For an example file see
> Then try
> pts = Import["DATA.CSV"];
> ListContourPlot[pts];
> (Actually, this matrix should be inverted)
> My goal is to find the boundary between the 1's and 0's, or an
> approxmimation to it, and plot all of the boundaries (for each of the
> matrices) together in a 3-dimensional surface plot so as to obtain a
> surface.  The surface will then correspond to the "phase transition"
> between, say 0 (inside the surface) and 1 (outside the surface). I
> think I might be asking too much. I would like to know if it is
> possible for a relatively inexperienced user of Mathematica to achieve
> this.
> Thanks in advance.
> James

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