Data in 3D surface Plot

Question

Steve 2012-6-21

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Hi,

Following 3 data sets create 3 curves in 3D space.

How do I plot surface passing through these 3lines?

Is it possible to find the model equation?

T1=[2.6,3.5,4.6,7.9,10.7; 3.1,3.0,3.1,2.9,2.8; 5.4,6.5,7.5,10.8,13.7];
T2=[2.6,3.5,4.6,7.9,10.7; 3.4,3.3,3.2,3.1,2.9; 2.0,3.7,4.3,6.3,8.4];
T3=[2.6,3.5,4.6,7.9,10.7; 4.4,4.3,4.1,4.0,3.8; 1.2,2.5,2.7,3.9,4.7];

Regards

Steve

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Answer 1

Walter Roberson 2012-7-8

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https://ww2.mathworks.cn/matlabcentral/answers/41699-data-in-3d-surface-plot#answer_52927

There are an infinite number of equations that pass exactly through any finite set of points, and all of those equations are as valid as each other. It is therefore not possible to find the model equation unless you have some information as to what the form of the model equation should be.

For the surface, please look at TriScatteredInterp