Interpolation of function of 3 variables

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PASUNURU SAI VINEETH 2022-1-29

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1638575-interpolation-of-function-of-3-variables

评论： Voss 2022-1-29

Swing_Digitization.xlsx

I have 4 variables in the problem where the last variable is the function of first three. The attached excel sheet contains the sample data. The following code throws an error when I try to interpolate. Please help me figure out the issue.

SideForceData = readmatrix("Swing_Digitization.xlsx");
SeamAngle_data=SideForceData(:,1);
spin_data=SideForceData(:,2);
vel_data=SideForceData(:,3);
Fswing_data=SideForceData(:,4);
spin=10;
vel=40;
SeamAngle=25;
Fswing = interp3(SeamAngle_data, spin_data, vel_data, Fswing_data, SeamAngle, spin, vel);
Error using griddedInterpolant
Interpolation requires at least two sample points for each grid dimension.

Error in interp3 (line 132)
        F = griddedInterpolant({X, Y, Z}, V, method,extrap);

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Answer 1

Voss 2022-1-29

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1638575-interpolation-of-function-of-3-variables#answer_884295

在 MATLAB Online 中打开

Swing_Digitization.xlsx

It looks like the data in that file is insufficient for making a gridded interpolant (because there is no information about Seam Angle = 30, Spin Rate = 11.4, 14.2), so you have to use a scattered interpolant instead:

SideForceData = readmatrix("Swing_Digitization.xlsx");
SeamAngle_data=SideForceData(:,1);
spin_data=SideForceData(:,2);
vel_data=SideForceData(:,3);
Fswing_data=SideForceData(:,4);
spin=10;
vel=40;
SeamAngle=25;
% Fswing = interp3(SeamAngle_data, spin_data, vel_data, Fswing_data, SeamAngle, spin, vel);
I = scatteredInterpolant(SeamAngle_data, spin_data, vel_data, Fswing_data);
Fswing = I(SeamAngle,spin,vel);
disp(Fswing);
    0.2410