Interpolating a whole matrix

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Inmodi 2014-12-19

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https://ww2.mathworks.cn/matlabcentral/answers/167222-interpolating-a-whole-matrix

评论： Mohammad Abouali 2014-12-19

I have a (3x3)-matrix whose elements change with time. I store the time in a (n x 1)-array and the matrix in a (n x 3 x 3)-matrix. Now for a Simulink simulation I want to extract the (3 x 3)-matrix through interpolation by the simulation time.

Of course, in principle, I could just create interpolation tables for each element of the (3x3)-matrix and reassemble the outputs to a new (3x3)-matrix but I wonder if there'd be a simpler way.

N. B.: I don't have particular toolboxes.

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dpb 2014-12-19

...I could just create interpolation tables for each element of the (3x3)-matrix and reassemble the outputs...

If you were to instead store the array as nine columns by length N then interp1 will do each column automagically and since it's a single time slice (I presume) being returned each time a reshape to 3x3 if need shouldn't be too costly.

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Answer 1

Mohammad Abouali 2014-12-19

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https://ww2.mathworks.cn/matlabcentral/answers/167222-interpolating-a-whole-matrix#answer_162827

在 MATLAB Online 中打开

% Making a sample data set
A(1,:,:)=ones(3,3);
A(2,:,:)=ones(3,3)*2;
A(3,:,:)=ones(3,3)*3;
time=0.1:0.1:0.3;
% now interpolating to t=0.15
B=mat2cell(A,3,ones(3,1),ones(3,1));
A_interpolated=cellfun(@(x) interp1(time,x,0.15),B);