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RE: Vertical ContourPlot, please help!!!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42846] RE: [mg42800] Vertical ContourPlot, please help!!!
  • From: "David Park" <djmp at earthlink.net>
  • Date: Wed, 30 Jul 2003 19:30:46 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Alex,

You can't obtain a true contour plot, but you can plot slices of your
function.

Something like this, with line labels and varying Hue:

lines = {Text[
            NumberForm[N[#], 2], {xx = Random[Real, {-1.5, 1.5}], Sin[xx
#]},
            Background -> GrayLevel[1]], Hue[(# + 2)/8, 0.7, 0.8],
          First[Plot[f[x, #], {x, -2, 2}, DisplayFunction -> Identity]]} &
/@
      Range[-2, 2, 1/2];

Show[Graphics[lines],
    Frame -> True,
    FrameLabel -> {"x", "z"},
    AspectRatio -> Automatic,
    PlotLabel -> "y Slices of Sin[x y]",
    Background -> RGBColor[0.980407`, 0.941206`, 0.902005`],
    ImageSize -> {500, 270}];

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/


Hi everyone!

If anyone can help me with this, I would appreciate it!

I have a 3D graph of the form z=f[x,y]. If I use the
ContourPlot command, then the curves that are generated
are the intersections of the surface f[x,y] with a family
of horizontal planes, which are all parallel
to the plane x-y.

But I want to make a "vertical" contour graph. I want
to "cut" my f[x,y] surface with a family of vertical planes, that are
parallel to the y-z plane, and then project these curves to
the y-z plane.

Let me also specify that the equation z=f[x,y] cannot
be written in the form: x=f1[y,z] or y=f1[x,z]

Any ideas on this???
Thank you very much in advance!

Alex Markatis
Civil Engineer
GREECE


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