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Plot a surface graph and interpolate between 2 variables

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Zhenteng Shen
Zhenteng Shen 2020-5-22
评论： Ameer Hamza 2020-5-22
Hello all, thank you for taking the time to read my question, I am quite new to MATLAB)
So I have a material made from a blend of 2 concentrations of A and B. The concentrations of A used is (2.5% and 5%) and B is (1% and 1.5%). A matrix is formed when measuring the properties of each of the different combinations of the two blends. As shown below. The numerical results in green of the different combinations are c,d,e,f for example.
Now I would like to plot a 3D surface plot with A concentration on the x, B concentration on the y and the results on the z axis. How would I do that? I read about a meshgrid or plot3 function?
Also my other question is that now I have been given a numerical result and would like to interpolate to find the optimal concentration of A and B in the material respectively that can create this number, how would I do that?
Many thanks for your help!!

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Ameer Hamza
Ameer Hamza 2020-5-22
You can plot a surface using something like this
A_conc = [2.5 5];
B_conc = [1 1.5];
M = [1 2;
1.5 2.5];
surf(A_conc, B_conc, M)
Similarly, to interpolate the data, you can use interp2
M_interp = interp2(A_conc, B_conc, M, 3, 1.25, 'spline') % spline interpolation
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Zhenteng Shen
Zhenteng Shen 2020-5-22
Ah ok, I completely understand now from the diagram, thank you so much for taking the time to answer my question!

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