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help with contourplot 3d

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43466] help with contourplot 3d
  • From: Michael Alfaro <malfaro at ucsd.edu>
  • Date: Wed, 17 Sep 2003 08:00:12 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

I am trying to plot a contour that is a function of 3 variables, x, y, 
and z.  I am plotting the function over a biologically interesting 
range of values using ContourPlot3d.  The problem is that the function 
does not give real values over some parts of the space near an edge.  
When I try to plot, mathematica
shows these lines in blue
CompiledFunction::"cfn": "Numerical error encountered at instruction \
\!\(52\); proceeding with uncompiled evaluation."

General::"stop": "Further output of \!\(CompiledFunction :: \"cfn\"\) 
will be \
suppressed during this calculation."

and

ContourPlot3D::"gval": "Function value \!\(\(\(-0.6727485829490804`\)\) 
- \
\(\(0.22711205859697875`\\ \[ImaginaryI]\)\)\) at grid point x = 
\!\(0.19`\), \
y = \!\(0.29`\), z = \!\(0.28`\) is not a real number."

The plot that mathematica produces looks good except for one edge which 
is jagged!  As I tell mathematica to plot more points, the size of the 
jags diminishes.  However I am reaching the practical limit of plot 
points (25) in terms of time and screen resolution and that edge is 
still not smooth like I expect that it really is (after plotting points 
from a numerical simulation).

I would like to get a smooth plot somehow for this function.  Is there 
anything else I can try?  I am new to mathematica.  Is there anyway to 
say, in the function for example, that only real numbers are valid?  Or 
will any of the ContourPlot3D options like min/max recursion or 
singularity help?

Thanks for any assistance!

Michael


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