How to interpolate with a polynom in 3D?

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Agustin Garzon 2023-2-16

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https://ww2.mathworks.cn/matlabcentral/answers/1913565-how-to-interpolate-with-a-polynom-in-3d

评论： Agustin Garzon 2023-2-17

Hi all, I am working on a project and I need to obtain the polynom for a 3D table. Why? Because my idea is to use that polynom in Excel for calculus since I think it will be faster for iterations rathen than looking for values in a table, specially if the values are not in the table and an interpolation would be needed.

The table is in the images.

I found that with polyfit or polyfitn I could get the coefficients of a polynom. But I don't know how to insert the table in the Z.

Thank you very much,

Agustin.

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回答（1 个）

Cameron 2023-2-16

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https://ww2.mathworks.cn/matlabcentral/answers/1913565-how-to-interpolate-with-a-polynom-in-3d#answer_1173015

在 MATLAB Online 中打开

Use interp2. Here's an example

x = 0.1:0.1:1; %sample x data
y = transpose(1:10); %sample y data
z = sin(x) - y.^x; %sample z data
interpX = 0.15; %your interpolated x value
interpY = 2.2; %your interpolated y value
interpZ = interp2(x,y,z,interpX,interpY); %interpolated value at that point