Interpolate matrix in 4D

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Tahariet Sharon 2023-3-8

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https://ww2.mathworks.cn/matlabcentral/answers/1925240-interpolate-matrix-in-4d

编辑： Matt J 2023-3-8

I have a matrix data of size 20,10,20,10.

It is a 3D object that changes across time (10 time points which represent 10 seconds)

I would like to create a smooth transition interpolating values to subdivide those 10 seconds into e.g., 10th of a second, so 100 time points in total.

How to go about this in Matlab?

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Answer 1

Matt J 2023-3-8

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https://ww2.mathworks.cn/matlabcentral/answers/1925240-interpolate-matrix-in-4d#answer_1188505

You can use griddedInterpolant (preferable IMHO) or interpn.

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Tahariet Sharon 2023-3-8

Thanks. I don't understand this function. what does the [1,1,1,10] mean?

I want to preserve the values in A(:,:,:,1) and in A(:,:,:,10), which must be identical to the values in the Ainterp(:,:,:,1) and Ainterp(:,:,:,100). And the new values should be interpolated accordingly.

Matt J 2023-3-8

编辑：Matt J 2023-3-8

在 MATLAB Online 中打开

what does the [1,1,1,10] mean?

It means make the 4th dimension 10 times bigger.

I want to preserve the values in A(:,:,:,1) and in A(:,:,:,10), which must be identical to the values in the Ainterp(:,:,:,1) and Ainterp(:,:,:,100). And the new values should be interpolated accordingly.

griddedInterpolant will do that.

A=rand(20,10,20,10);
F=griddedInterpolant(A);
Ainterp=F({1:20,1:10,1:20,linspace(1,10,100)});
whos A Ainterp
  Name          Size                     Bytes  Class     Attributes

  A            20x10x20x10              320000  double              
  Ainterp      20x10x20x100            3200000  double              