3d table interpolation

function T = bul(f, h)
% Verilen x, y ve z değerleri
T_values = [5, 6,7];
f_values = [10, 20];
h_values = [1, 2; 3, 4;5 6];
% Verilen y değerine en yakın y değerini bul
[~, f_index] = min(abs(f - f_values));
% Y değeri için interpolasyon yap
T_interp = interp1(f_values, T_values, f, 'linear');
% Z matrisindeki ilgili sütundaki interpolasyon yap
h_column = h_values(:, f_index);
T = interp1(h_column, T_values, h, 'linear');
end 

that is my code, i want it like this:

f 10 20

T

5 1 2

6 3 4

7 5 6

i want an interpolation like f values will be assigned to closest f value in f_values and later, with h values that entered there must be interpolation to find corresponding T value. For example it must find T= 5.5 if call bul(10,2). But MATLAB gave me error with that writing, the error was:

Error using interp1>reshapeAndSortXandV

X and V must be of the same length.

Error in interp1 (line 128)

[X,V,orig_size_v] = reshapeAndSortXandV(X,V);

Error in bul (line 11)

T_interp = interp1(f_values, T_values, f, 'linear');

Error in untitled13 (line 1)

bul(10,2)

how can i fix that?

[Manikanta Aditya]

The error message you’re seeing is due to the mismatch in the lengths of f_values and T_values in the interp1 function. The interp1 function requires that the vectors X and V be of the same length. In your case, f_values and T_values are serving as X and V.

function T = bul(f, h)
    % Verilen x, y ve z değerleri
    T_values = [5, 6, 7];
    f_values = [10, 20];
    h_values = [1, 2; 3, 4; 5, 6];
    % Verilen y değerine en yakın y değerini bul
    [~, f_index] = min(abs(f - f_values));
    % Y değeri için interpolasyon yap
    T_interp = interp1(f_values, T_values(f_index), f, 'linear');
    % Z matrisindeki ilgili sütundaki interpolasyon yap
    h_column = h_values(:, f_index);
    T = interp1(h_column, T_values, h, 'linear');
end