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MathGroup Archive 2005

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Re: Mapping Data

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57321] Re: Mapping Data
  • From: dh <dh at metrohm.ch>
  • Date: Tue, 24 May 2005 05:12:59 -0400 (EDT)
  • References: <d6p1ro$igo$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi Othman,
If I understand your question, you want to change the temperature 
radially and keep the same value for all angles.
Here is an example:

T = Table[Exp[-x], {x, 0, 1, 0.1}];
R = Table[x, {x, 0, 1, 0.1}];
fun = ListInterpolation[T, {R}];
ContourPlot[fun[Norm[{x, y}]], {x, -1, 1}, {y, -1, 1}]

This will give some warnings because the PlotRange is recangular and we 
extrapolate the function in the corners.
Sincerely, Daniel

othman wrote:
> Hi All
> I'm a new user of Mathematica.The problem is that I started using Mathematica from the middle not the beginning.
> Anyway, My problem is:
> I have two Matrices
> Temperature= T = [Ax8]
> Radial position = RR = [1x8]
> as an example, let A=1,
> instead of Plotting T vs. RR at xy-axes, I want to map the data in a cylinderical Coordinates as a contour mapping, whic means I need to "copy" my data to N times.
> My proposed procedure is to do the following:
> 
> Generate a position matrix, [x,y], as follows:
> 
> Do [x,y] RR=0,1,.145, Theta = 0,360,M  ( M is the step 360/N)
> x = RR*Cos(theta)
> y = RR*Sin(theta)
> and 
> T=T @ RR
> 
> I would like to know:
> 1. if this is the easy way to do it ?
> 2. How can translate it to Mathematica Code?
> 
> Hopefully it is clear!
> 
> Thank you in advance!
> 
> Othman
> 


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