interpolate a vector in dependence of two other vector to a vector dependet of one vector and a fixed value in matlab

To interpolate a vector z in dependence of two other vectors x and y to a vector dependent of one vector q and a fixed value v in MATLAB, you can use the interp2 function.

main.m
% Create example input vectors x and y
x = 0:0.2:2;
y = 0:0.2:2;
[X,Y] = meshgrid(x,y);

% Create example input vector z
Z = [2 6 3 -5 1; 1 5 0 3 2; -1 2 1 -2 4; 6 3 5 2 1; 0 1 -3 -2 5];

% Define the value of the fixed variable
v = 0.5;

% Define the variable that will be used for interpolation
q = 0.8;

% Interpolate the input vector z in dependence of the input vectors x and y
% to a vector dependent of the input vector q and the fixed value v
z_interpolated = interp2(X,Y,Z,q,v);
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In this example, z_interpolated will have the value 3.4375.

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