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# How to graphing a 3D surface when the X,Y,Z are known

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Steve on 30 Nov 2012
I have an experiment where I have time (t) and temperature (T) as the variables and yield (Y) as the result. I have 3 times and 3 temperatures (t=[5,10,15] T=[30,40,50]) These are combined in 9 combinations so in (t,T) they would be (5,30), (10,30), (15,30), (10,30) etc... each of those combinations has produced a yield (Y), say (6,7,4,2,..etc). So I have all the values for (t,T,Y). Id like to plot these data points and get a 3D surface.
Should I plug all that into one matrix such as M=[5,30,6;10,30,7;15,30,4;...etc] so that each column represents an axis
Or should they all be separate like t=[5,10,15,10,15,5,15,5,10] T=[30,40,50,30,40,50,30,40,50] Y=[6,7,4,2,3,8,9,1,3] so that they are all in respect to each other
Or neither? What is the best way to go about this? Thank you
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### Answers (2)

owr on 30 Nov 2012
I typically use 3 2-dimensional matrices - one for each coordinate (t,T,Y) - each position corresponds to a combination of a t and T value, and of course the corresponding Y value.
Check out the documentation for "surf" for some examples The function "meshgrid" is also helpful for generating the matrices for t and T from the original vectors you specify.
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Azzi Abdelmalek on 30 Nov 2012
t=[5,10,15]
T=[30,40,50]
[tt,TT]=meshgrid(t,T);
y=sin(tt).*cos(2*TT);
mesh(tt,TT,y)
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