4D Table Interpolation

Question

Fawad Farooq Ashraf 2023-2-5

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1906685-4d-table-interpolation

评论： Voss 2023-2-5

采纳的回答： Voss

在 MATLAB Online 中打开

I have a data set in four variables (alpha,beta,gamma,lambda).

Here alpha is a 10 element vector, beta is a 8 element vector, both gamma and lambda have four values each.

The data is given such that for each value of lambda, there are 4 tables, and those 4 tables correspond to each value of gamma. Each of those four tables is a 8x10 matrix whose rows correspond to values of beta and columns correspond to values of alpha.

I tried to implement it this way (sample code using random values):

alpha  = 1:10;
beta   = 1:8;
gamma  = 1:4;
lambda = 1:4;
m = length(beta);
n = length(alpha);
Data(:,:,1,1) = rand(m,n); % alpha in first dimension, beta is 2nd dimension, gamma in 3rd and lambda in 4th
Data(:,:,2,1) = rand(m,n);
Data(:,:,3,1) = rand(m,n);
Data(:,:,4,1) = rand(m,n);
Data(:,:,1,2) = rand(m,n);
Data(:,:,2,2) = rand(m,n);
Data(:,:,3,2) = rand(m,n);
Data(:,:,4,2) = rand(m,n);
Data(:,:,1,3) = rand(m,n);
Data(:,:,2,3) = rand(m,n);
Data(:,:,3,3) = rand(m,n);
Data(:,:,4,3) = rand(m,n);
Data(:,:,1,4) = rand(m,n);
Data(:,:,2,4) = rand(m,n);
Data(:,:,3,4) = rand(m,n);
Data(:,:,4,4) = rand(m,n);
idat = interpn(alpha,beta,gamma,lambda,Data,1,2,3,4);
Error using griddedInterpolant
Sample points vector corresponding to grid dimension 1 must contain 8 elements.

Error in interpn (line 149)
           F = griddedInterpolant(X, V, method,extrap);

This code gives me errors. How can I resolve it? Do I need to create an n-dimensional grid? or am I making some mistake in the making of 4D tables.

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Answer 1

Voss 2023-2-5

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1906685-4d-table-interpolation#answer_1164010

编辑：Voss 2023-2-5

在 MATLAB Online 中打开

Swap your definitions of m and n (or equivalently use rand(n,m)). Like you said, alpha is 1st dimension, beta is 2nd.

alpha  = 1:10;
beta   = 1:8;
gamma  = 1:4;
lambda = 1:4;
m = length(alpha);
n = length(beta);
Data(:,:,1,1) = rand(m,n); % alpha in first dimension, beta is 2nd dimension, gamma in 3rd and lambda in 4th
Data(:,:,2,1) = rand(m,n);
Data(:,:,3,1) = rand(m,n);
Data(:,:,4,1) = rand(m,n);
Data(:,:,1,2) = rand(m,n);
Data(:,:,2,2) = rand(m,n);
Data(:,:,3,2) = rand(m,n);
Data(:,:,4,2) = rand(m,n);
Data(:,:,1,3) = rand(m,n);
Data(:,:,2,3) = rand(m,n);
Data(:,:,3,3) = rand(m,n);
Data(:,:,4,3) = rand(m,n);
Data(:,:,1,4) = rand(m,n);
Data(:,:,2,4) = rand(m,n);
Data(:,:,3,4) = rand(m,n);
Data(:,:,4,4) = rand(m,n);
idat = interpn(alpha,beta,gamma,lambda,Data,1,2,3,4);
disp(idat)
    0.7127