Interpolation of matrices corresponding to time vector

I have a vector containing time points, and a cell structure containing matrices as its elements.

I want to interpolate the corresponding matrix for some time point which is not in the time vector. How to do that?

[KALYAN ACHARJYA]

Can you illustrate with example?

[Ashok Das]

Consider t = [1, 2, 3] and corresponding cell is A, where

A{1} = [1 1; 1 1] , A{2} = [1 0.9;0.95 .87] , A{3} = [1.1 0.85;0.91 .8].

Now want to find the corresponding matrices at other time points, say for time t_new = [1.2, 2.1, 2.9].

[infinity]

Hello,

You could try to look at this

https://it.mathworks.com/help/matlab/ref/interp1.html

maybe it will help.

[Bjorn Gustavsson]

Or, depending on sizes, it might be more efficient to interpolate all matrix components at the same time with interp3, or interpn. The different interpolation functions have slightly different options when it comes to interpolation methods.

HTH

Answer 1

[Andrei Bobrov]

Variant with interp1:

t = [1, 2, 3];
A = {[1, 1; 1, 1]   ,[1, 0.9;0.95, .87] , [1.1, 0.85;0.91, .8]};
tt = [1.2, 2.1, 2.9];

out = interp1(t(:),permute(cat(3,A{:}),[3,2,1]),tt);
out = permute(out,3:-1:1);

[Ashok Das]

Thank you for yor reply. Can you please elaborate the code a bit. It will be reallly helpfull.

[KALYAN ACHARJYA]

The answered is already provided by @Andrei, Hello @Ashok, please accept the answer to give due credit to the answer provider.

Answer 2

[Vismay Raj]

this function might be useful https://www.mathworks.com/help/matlab/ref/interpn.html