Interpolation of (multidimensional) array
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Does anybody know a proper way on how to interpolate an array so, that i can get from something like
[0, 0, 0, 4, 0, 0, 7, 0, 0, 0]
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
Can one extrapolate this to e.g. a 3D array?
Thanks in advance!
the cyclist on 15 Sep 2021
So, this is a somewhat strange "interpolation" (and extrapolation) problem. It requires certain assumptions to leap from your data to the result. Are you saying that your data are effectively the following?
y = [4 7];
x = [4 7]; % Inferred because the non-zero values of y occur at the 4th and 7th position
And, are you saying that your data exist at x values of 1:10, because of the length of your original vector?
And, are you saying that you want to linearly extrapolate outside the range 4:7?
If all of that is true, then I guess this does what you want.
data = [0, 0, 0, 4, 0, 0, 7, 0, 0, 0];
x = find(data);
y = data(x);
xq = 1:length(data);
yq = interp1(x,y,xq,'linear','extrap')
But this solution hinges on the fact that the element positions (1st element, 2nd element, and so on) are equivalent to the data values, which is really strange. So, I have my doubts that this will achieve what you want in your actual real-life problem.