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MathGroup Archive 2001

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Re: Contour List Plot on Surface of Sphere?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg30394] Re: Contour List Plot on Surface of Sphere?
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Wed, 15 Aug 2001 01:04:01 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <9lalg0$ccm$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

I have a package for functions to plot contours and colors on a
sphere but ContourPlot[] will generate non-convex polygons
and the 3d extension would require a a triangulation of the
polygons in the contour plot. 

But the best way would be to make a ContourPlot[]/ ListContourPlot[]
an apply it as a Texture on a sphere in MathGL3d.

Get["OpenGLViewer`"]

cntr = ContourPlot[Sin[phi]*(1 - Cos[th]), {th, 0, Pi}, {phi, 0, 2Pi}, 
    Frame -> False, ColorFunction -> Hue, PlotPoints -> 60,
    DisplayFunction->Identity];

ss = ParametricPlot3D[{Cos[phi]*Sin[th], Sin[phi]*Sin[th], Cos[th]},
{th, 0, 
        Pi}, {phi, 0, 2Pi},DisplayFunction->Identity];

MVShow3D[ss, MVTexture -> cntr, MVTextureMapType -> MVMeshUVMapping, 
  MVNewScene -> True, MVTextureSize -> 536]

You can look at the result at

http://phong.informatik.uni-leipzig.de/~kuska/colorsplt.wrl


Regards
  Jens


"Warner A. Miller" wrote:
> 
> Hi,
> 
> I want to plot contours of frequency on a spherical surface from a
> table of data {theta,phi,frequency} where theta and phi are standard
> spherical polar coordinates. These contours will be curves on the
> surface of a sphere. Can Mathematica do such a plot? If yes, how? As
> far as i know, Mathematica can do contours of f(theta,phi) on a sphere
> but can I equally well plot a table of data? Thanks for any help.
> 
> Sincerely,
> 
> Warner A. Miller
> Leader, Theoretical Astrophysics Group
> Theoretical Division
> Los Alamos National Laboratory
> wam at lanl.gv


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