# How to get contour plot of multiple Datas in the same plot?

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Vaswati Biswas on 26 Nov 2022
Commented: Star Strider on 27 Nov 2022
I have X axis values [0 10 20 30 40 50 55] and y axis values starting from 300 to 2000 at the interval of 2. I also have seven Z axis values matching the dimension of y axis. I want to have the contour plot of all the datas in the same plot. My code is given below:
[x,y] = meshgrid(X,Y);
z= [Z1,Z2,Z3,Z4,Z5,Z6,Z7];
Z = zeros(length(x),length(y)) ;
for i = 1:length(x)
for j = 1:length(y)
if i==j % z data exist for only for x(n) y(n) location, n = 1,2,3...
Z(i,j) = z(i);
end
end
end
contourf(x,y,Z)
colorbar
But I am not getting the correct result. Kindly help.

Star Strider on 26 Nov 2022
I did something like this recently in Contourf plot of magnitude of transferfunction along trajectory. See if you can adapt that approach to your problem.
##### 2 CommentsShowHide 1 older comment
Star Strider on 27 Nov 2022
They of course must agree.
You can use interp1 to make their lengths agree.
Example —
X1 = 0:0.1:10;
Z1 = X1.*exp(-0.75*X1)
Z1 = 1×101
0 0.0928 0.1721 0.2396 0.2963 0.3436 0.3826 0.4141 0.4390 0.4582 0.4724 0.4821 0.4879 0.4904 0.4899 0.4870 0.4819 0.4750 0.4666 0.4570 0.4463 0.4347 0.4225 0.4098 0.3967 0.3834 0.3699 0.3564 0.3429 0.3295
X2 = 0:0.5:20;
Z2 = sin(2*pi*X2*5)
Z2 = 1×41
1.0e-13 * 0 0.0061 -0.0122 0.0539 -0.0245 -0.0049 -0.1078 0.0784 -0.0490 0.0196 0.0098 0.2450 -0.2156 -0.0980 -0.1568 0.1274 -0.0980 0.0686 -0.0392 0.0098 0.0196 -0.0490 -0.4900 0.4606 -0.4312 -0.1667 0.1961 0.3430 -0.3136 -0.2843
X3 = 0:25;
Z3 = exp(-0.1*X3) .* cos(2*pi*3*X3)
Z3 = 1×26
1.0000 0.9048 0.8187 0.7408 0.6703 0.6065 0.5488 0.4966 0.4493 0.4066 0.3679 0.3329 0.3012 0.2725 0.2466 0.2231 0.2019 0.1827 0.1653 0.1496 0.1353 0.1225 0.1108 0.1003 0.0907 0.0821
N = 200;
xfcn = @(x) linspace(min(x), max(x), N); % Create Independent Interpolation Variable Vector For Each Vector
Z1m = interp1(X1, Z1, xfcn(X1)); % Interpolate To Same Lengths
Z2m = interp1(X2, Z2, xfcn(X2)); % Interpolate To Same Lengths
Z3m = interp1(X3, Z3, xfcn(X3)); % Interpolate To Same Lengths
figure
contourf([Z1m; Z2m; Z3m])
colormap(turbo)
Here, they’re interpolated to the same length, then (since they’re row vectors in this example), vertically concatenated to create a matrix, and then presented as that matrix to contourf.
.

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