Re: Contours on a sphere
- To: mathgroup at smc.vnet.net
- Subject: [mg16407] Re: Contours on a sphere
- From: Lawrence Walker <lwalker701 at earthlink.net>
- Date: Thu, 11 Mar 1999 02:17:05 -0500
- Organization: Morgan State University: COMSARE
- References: <7bo0jg$dp2@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
I would try to first parametrize the density function and
formulate the equation f[x,y,z]==val where val is the value
of the contour. The FindRoot function can be use to seek a
set of values that satisfy the equation. You would have to
repeatedly apply the FindRoot function using different
starting points to obtain a set of points. I would map the
Interpolate function to the set of x1, x2, ... values.
Repeat for y and z values. Now I have a set of three
InterpolationFunctions of one parameter. I would feed this
into the ParametricPlot3D function.
Hope this helps,
Lawrence
"Luis A. Aguilar" wrote:
>
> Hello!
>
> I have a density function defined on a sphere.
> How can I generate and draw the corresponding
> contour lines using one of the projections
> available in Mathematica?
>
> Thanks!
>
> Luis A. Aguilar
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Lawrence A. Walker Jr., M.Eng./Ph.D. Candidate
Morgan State University
Clarence M. Mitchell School of Engineering
COMSARE (Center Of Microwave/Satellite And RF Engineering)
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