How can I get X value by transforming the griddedInterpolant function?

Hi.

I have 2D data (60*60) of X, Y, Z, and I've made 'griddedInterpolant' function with these data.

Here is my sample code:

[Xq, Yq] = meshgrid(min(X):(max(X) - min(X))/999:max(X), min(Y):(max(Y) - min(Y))/999:max(Y));
Vq = griddata(X, Y, Z, Xq, Yq, 'linear');
F = griddedInterpolant(Xq', Yq', Vq');

With this F function, I can get Z value of X, Y values.

Z_value = F(X_value, Y_value);

But the thing that I want is X value of Y, Z values with G.

X_value = G(Y_value, Z_value);

I've already tried this link's answer, but couldn't figure out the solution.

https://mathworks.com/matlabcentral/answers/232829-how-can-i-look-up-and-interpolate-a-value-from-a-set-of-3d-gridded-data-i-am-given-y-and-z-dimensi?s_tid=srchtitle

Thanks in advance for any help.

[Dyuman Joshi]

Why not follow the steps you did with F to get Z as F(X, Y)?

[형준 김]

Sorry for late comment.

Actually, I've tried it. The data shape is as follows:

The code example that I've tried is:

[Yq, Zq] = meshgrid(min(Y):(max(Y) - min(Y))/999:max(Y), min(Z):(max(Z) - min(Z))/999:max(Z));
Xq = griddata(Y, Z, X, Yq, Zq, 'linear');
F = griddedInterpolant(Yq', Zq', Xq');

However, Yq and Zq were empty because of Z.

I didn't write it in the question, X and Y data are gridded data, generated horizontally/vertically. And Z was generated diagonally. So an error occurs in the process of generating Yq and Zq using Z.

That's why I want to transform the function. Sorry for the confusion.

Answer 1

[Matt J]

Why not just,

F=scatteredInterpolant(Y(:),Z(:),X(:));

[형준 김]

OMG.. It works well.

I didn't know it would be solved so easily... Thanks for your help :)