Alternative function to scatteredInterpolant

Question

Alejandro Fernández 2021-7-29

0
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https://ww2.mathworks.cn/matlabcentral/answers/888462-alternative-function-to-scatteredinterpolant

评论： Alejandro Fernández 2021-8-4

Hello. I was wondering if anyone would know any alternative function to scatteredInterpolant (if possible that can be implemented also in Python) so that it can be equivalent to the one I show below.

function data_out = test_scatteredInterpolant (data_input)
U = rand(20,20);
V = rand(20,20);
[X,Y] = meshgrid(1:20,1:20);
% Create matrix with specific format.
aux_array = [reshape(U,[],1) reshape(V,[],1) reshape(X,[],1) reshape(Y,[],1)];
% Apply scatteredInterpolant with vector arrays.
FX = scatteredInterpolant(aux_array(:,1),aux_array(:,2), aux_array(:,3));
FY = scatteredInterpolant(aux_array(:,1),aux_array(:,2), aux_array(:,4));
% Apply FX and FY to the desired input.
data_out(:,1) = FX(data_input(:,1),data_input(:,2));
data_out(:,2) = FY(data_input(:,1),data_input(:,2));
end

Basically, the function constructs an interpolant for the matrices U,V,X and another for U,V,Y and then applies them to the points given as input, as the example below:

data_out = test_scatteredInterpolant(rand(10,2));

Note. The actual function does not work with random values but for the sake of an example I think it is more visual.