interpolation surface no mesh

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Federico Maglione 2019-10-4

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https://ww2.mathworks.cn/matlabcentral/answers/483578-interpolation-surface-no-mesh

回答： Naveen Venkata Krishnan 2019-10-9

test.mat

Hi all,

I am not very familiar with surfaces and I am having some problems with the built-in functions to interpolate/extrapolate over a surface.

My data is in the form

X vector of lenght a
Y vector of length b
Z matrix of size axb

X and Y do not have the same length (a~=b). I have attached an example of data

In order to interpolate over the surface and extrapolate outside the data points, which function should I use? griddata(x,y,v,xq,yq)? interp2(X,Y,V,Xq,Yq)? scatteredInterpolant(x,y,v)?

Also, could someone explain me in which format X and Y should be inputted given the selected function?

Thank you.

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Stephen23 2019-10-4

编辑：Stephen23 2019-10-4

"which function should I use?"

That partly depends on how you want to extrapolate: do you want:

a constant value,
to use either spline or makima interpolation,
some other interpolation method?

If you want either 1. or 2. then you can simply use interp2 with your already gridded data.

You also did not explain the output data structure: should this also be gridded data, or do you want to interpolate at points that are not placed on a grid?

Federico Maglione 2019-10-4

Hi Stephen,

thank you for your answer.

I need to interpolate/extrapolate for constant points. Given the surface what is the corresponding value of, say, the point of coordinates (0.5, 0.8)? both 0.5 and 0.8 however could be outside the available data points. Therefore I assume I could use interp2 as I need just linear interpolation.

The output needs just to be the value on the surface.

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