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MathGroup Archive 2000

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How do you create a ListContourPlot from a mesh of non-equally spaced real numbers?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25614] How do you create a ListContourPlot from a mesh of non-equally spaced real numbers?
  • From: Oliver Schwindt <mccpgos2 at dirac.phy.umist.ac.uk>
  • Date: Mon, 16 Oct 2000 03:04:38 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello,

I have a problem with performing a ListContourPlot with irregular data. My data can be written in such away, that I have a rectangular grid (actually only almost, but that can be rewritten to be exact), with non-integer values x1,x2,x3...   by y1,y2,y3... but they are not equally spaced! This means I can not use the array index numbers which it uses to plot by default. I would also like to have the proper labels of the values of x and y for the axes, and not the array index number. Basically, I would like a graph of 'ListSurfacePlot3D' which is flattened to be contours in two dimensions instead of a 3D surface.

An example form of the data is:

{{{0.79690240000000001`,2.`,17.1591599999999999`},{0.797639499999999923`,
      1.42857142857142864`,17.2544800000000009`},{0.798226699999999933`,1.`,
      16.8197699999999983`},{0.798846900000000026`,0.5`,
      16.9753900000000008`},{0.799160899999999951`,0.25`,
      16.9719699999999988`},{0.799315400000000053`,0.125`,
      17.0197499999999983`},{0.799447600000000058`,0.02`,
      17.0165599999999983`},{0.799472500000000074`,1.`*^-9,
      17.0194900000000011`}},{{0.317149899999999984`,2.`,
      9.43279199999999917`},{0.317928500000000013`,1.42857142857142864`,
      9.37374200000000001`},{0.31848749999999999`,1.`,9.2903260000000003`},{
      0.319141300000000027`,0.5`,9.19831600000000015`},{0.31946690000000002`,
      0.25`,9.23090400000000066`},{0.319610200000000022`,0.125`,
      9.24348900000000028`},{0.319746700000000005`,0.02`,
      9.25857500000000044`},{0.319770500000000001`,1.`*^-9,
      9.24925200000000025`}},{{0.196953999999999993`,2.`,
      9.44644699999999915`},{0.197928099999999993`,1.42857142857142864`,
      8.49427200000000048`},{0.198513600000000032`,1.`,8.20476700000000036`},{
      0.1991654999999Untitled-Untitled-1,0.5`,8.19703900000000018`},{
      0.199479299999999994`,0.25`,8.22965699999999955`},{
      0.199638299999999979`,0.125`,8.22096499999999963`},{
      0.199772000000000016`,0.02`,8.21111900000000005`},{
      0.199799499999999987`,1.`*^-9,8.21094300000000032`}},{{
      0.143261300000000009`,2.`,15},{0.143261300000000009`,
      1.42857142857142864`,8.54252100000000069`},{0.143915199999999998`,1.`,
      8.07665000000000077`},{0.144603199999999976`,0.5`,7.925319`},{
      0.144903100000000017`,0.25`,8.15918800000000032`},{
      0.145058700000000007`,0.125`,8.03011099999999977`},{
      0.145192100000000001`,0.02`,8.04480200000000067`},{
      0.145216399999999996`,1.`*^-9,8.04446399999999961`}},{{
      0.11267069999999999`,2.`,15},{0.11267069999999999`,1.42857142857142864`,
      15},{0.11267069999999999`,1.`,8.19419800000000009`},{
      0.113367499999999998`,0.5`,7.96541500000000013`},{0.113678699999999999`,
      0.25`,7.9688150000000002`},{0.113841999999999998`,0.125`,
      7.98598500000000033`},{0.113957700000000006`,0.02`,
      8.02624800000000071`},{0.11398919999999999`,1.`*^-9,
      8.02544100000000071`}},{{0.0931426899999999946`,2.`,Untitled-115},{
      0.0931426899999999946`,1.42857142857142864`,15},{0.0924467899999999964`,
      1.`,8.24917699999999953`},{0.0931426899999999946`,0.5`,
      8.02454900000000037`},{0.0934541700000000119`,0.25`,
      7.97669199999999989`},{0.0936062900000000119`,0.125`,
      8.00101899999999943`},{0.093726439999999993`,0.02`,
      8.04149899999999995`},{0.0937570000000000014`,1.`*^-9,
      8.03143599999999935`}},{{0.078921720000000004`,2.`,15},{
      0.078921720000000004`,1.42857142857142864`,15},{0.078921720000000004`,
      1.`,15},{0.078921720000000004`,0.5`,8.03793499999999916`},{
      0.0792579499999999903`,0.25`,7.99941299999999966`},{
      0.0794220099999999984`,0.125`,8.01981400000000022`},{
      0.0795468500000000044`,0.02`,8.04646600000000056`},{
      0.0795730500000000073`,1.`*^-9,8.04301599999999972`}},{{
      0.0684152600000000088`,2.`,15},{0.0684152600000000088`,
      1.42857142857142864`,15},{0.0684152600000000088`,1.`,15},{
      0.0684152600000000088`,0.5`,8.10565399999999947`},{
      0.0687634700000000087`,0.25`,8.01780899999999974`},{
      0.0689107899999999951`,0.125`,8.04132899999999928`},{
      0.069044919999999994`,0.02`,8.05345600000000061`},{
      0.0690702700000000024`,1.`*^-9,8.05733900000000069`}},{{
      0.0606491800000000047`,2.`,15},{0.0606491800000000047`,
      1.42857142857142864`,15},{0.0606491800000000047`,1.`,15},{
      0.0606491800000000047`,0.5`,8.29358200000000067`},{
      0.0606491800000000047`,0.25`,8.05089300000000029`},{
      0.0608114799999999977`,0.125`,8.06020299999999956`},{
      0.0609501199999999965`,0.02`,8.06786400000000014`},{
      0.060973670000000002`,1.`*^-9,8.07410499999999942`}}}

 
and this can be viewed by:

ListSurfacePlot3D[w,BoxRatios->{1,1,1},Axes->True,ViewPoint->{-0.5,-2,1},PlotRange->{{0,0.45},{0,2},{7.9,15}}]

Thanx for your help,

Oliver Schwindt




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