Interpolation of function of 3 variables

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);

Answer 1

[Voss]

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

[PASUNURU SAI VINEETH]

Thanks a ton! If I have sufficient data (data value for every node), will the scattered interpolant be the same as gridded interpolant?

Also, is there an inbuilt interpolation (gridded or scattered) command for more than 3 variables?

[Voss]

Yes, I believe they should be the same in that case. For more than three variables, look into griddatan().