3input vs 1 output Interpolation Problem

Question

Abyay Ray 2020-10-23

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/623683-3input-vs-1-output-interpolation-problem

评论： Abyay Ray 2020-10-23

Data.xlsx

Hello !

I have a set of data attached (Data.xlsx), there are 3 input vectors and 1 output vector, output vector named 'Error', Input vectors named X,Y,Z. based on this ,I would like to make an interpolation table so that I can use it for other intermidiate input values to get output.

please help to find a way how can I use interpolation in Matlab for 3 inputs and one output ?

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Answer 1

Ameer Hamza 2020-10-23

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/623683-3input-vs-1-output-interpolation-problem#answer_522403

编辑：Ameer Hamza 2020-10-23

在 MATLAB Online 中打开

You need to use scatteredInterpolant()

data = readtable('Data.xlsx');
idx = find(isnan(data.X), 1);
data(idx:end, :) = [];
mdl = scatteredInterpolant(data.X, data.Y, data.Z, data.Error);
err_val = mdl(245, 1500, 50) % interpolate at x = 245, y = 1500, z = 50

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Abyay Ray 2020-10-23

Thanks a lot ...its working...

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Answer 2

Walter Roberson 2020-10-23

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/623683-3input-vs-1-output-interpolation-problem#answer_522433

在 MATLAB Online 中打开

t = rmmissing(readtable('Data.xlsx'));
x=t.X; y=t.Y; z=t.Z; err=t.Error;
F = scatteredInterpolant(x,y,z,err);
%now F(x,y,z) gives you the interpolation. 
%to visualize:
[X,Y,Z] = meshgrid(linspace(min(x),max(x),50),linspace(min(y),max(y),50),linspace(min(z),max(z),50));
E = F(X,Y,Z);
v = -50:12.5:25;
for V = v; isosurface(X,Y,Z,E,V); end
colorbar

You have some obvious discontinuities for Error == 0, especially near x == 75; you might want to look at those values more closely. Be sure to rotate the plot as some of the graphs are odd.