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I use ListContourPlot to show exclusions in a physical parameter space. I have restrictions like A < 5 and B > 120. I also have data lists in the form of {{Input1, Input2, A, B, C, ...}, {Input,....}}. I create lists of triplets with the inputs as x and y coordinates and the interesting quantity as a third: AList = {{Input1, Input2, A}, {Input1, Input2, A}, ...}. Then I simply use ListContourPlot[AList, Contours -> {5}, ContourShading -> {None, Red}] to create a red shape that covers the excluded area. I do this e.g. in red and blue for A and B respectively. Then I use Show[LCP1, LCP2, ...] to overlay them into a single plot.

Now, it would be nice to also show the area that is excluded by A and B in a third color. Is there a possibility to create contours based on two criteria?

I manged to get what I want, by creating a list of elements that fulfill criterion A and then plot the exclusion for B the same way as above then doing it once over with a list of elements that fulfill criterion B and plot the exclusion for A. This is cumbersome, however, so I wonder whether it is possible to do it in one step.

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AList = {{Input1, Input2, A}, {Input1, Input2, A}, ...} doesn't reveal your intentions, I think – belisarius has settled Apr 19 '13 at 12:28
I think I didn't really understand your question. Could you provide some minimal concrete data sample and code? – Silvia Apr 19 '13 at 16:44

1 Answer 1

up vote 2 down vote accepted

Perhaps you could interpolate your data and use RegionPlot:

(* example data *)
alist = Table[{x, y, (x + 2)^2 + y^2}, {x, -5, 5, 0.1}, {y, -5, 5, 0.1}]~Flatten~1;
blist = Table[{x, y, 15 (x - 2)^2 + 10 y^2}, {x, -5, 5, 0.1}, {y, -5, 5, 0.1}]~Flatten~1;

(* interpolation *)
afunc = Interpolation[alist];
bfunc = Interpolation[blist];

(* plotting *)
With[{a = afunc[x, y] < 5, b = bfunc[x, y] > 120}, 
 RegionPlot[{a, b, a && b}, {x, -5, 5}, {y, -5, 5}, PlotStyle -> {Red, Green, Blue}]]

enter image description here

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