Average curve for a set of curves

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AAA 2013-8-25

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https://ww2.mathworks.cn/matlabcentral/answers/85569-average-curve-for-a-set-of-curves

评论： Lukas Krupa 2018-8-15

Hi everyone,

I have done some mechanical tests and obtained stress strain curves for 5 specimen made out of the same material. I have got XY data (X values vary for each specimen). How can I produce an average curve in this case?

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Answer 1

Shashank Prasanna 2013-8-26

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https://ww2.mathworks.cn/matlabcentral/answers/85569-average-curve-for-a-set-of-curves#answer_95045

在 MATLAB Online 中打开

If X is the same for each experiment then you just have to

>> Yavg = mean([Y1 Y2 Y3 Y4 Y5],2); % assuming Ys are column vectors

If not define a desired X = Xavg

Y1avg = interp1(X1,Y1,Xavg);
Y2avg = interp1(X2,Y2,Xavg);
.
.
Y5avg = interp1(X5,Y5,Xavg);
% Compute the average of Y for the Xavg
Yavg = mean([Y1avg Y2avg ... Y5avg],2); % assuming Ys are column vectors

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Lukas Krupa 2018-8-15

What is your Xavg here? How did you get it?

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Answer 2

Laurent 2013-8-25

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Maybe you can use interpolation (help interp has an example) to generate Y data for a common set of X points, based on your original Y data? Then you can do a simple mean on your set of Y data.