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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!!

Ameer Hamza
on 22 May 2020

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

Ameer Hamza
on 22 May 2020

Yes, it is possible to extrapolate the surface and find a solution (see the answer to your other question). However, the solution is not unique. For example, consider the following plot

The plane at z=1.7 intersects the surface of your matrix at several points. Which one of those points do you want to find out?

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