Interpolation of time series of data at X and Y coordinates

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Teja Reddy
Teja Reddy 2022-11-20
评论： Teja Reddy 2022-11-23
Hi, I have a set of, X and Y coordinates, i have the time series of temperature data (not a single value) corresponding to these coordinates. I need to get the time series of temperatures at other required coordinates in the domain by interpolating the existing data. Could you please give some logic here? Thank you.

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Matt J
Matt J 2022-11-20
Use scatteredInterpolant or griddedInterpolant depending on whether your (X,Y,t) data is scattered or gridded.
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Matt J
Matt J 2022-11-23
编辑：Matt J 2022-11-23
Why you considered only first column of Temperature while calculating "F" as shown below.?
It was just a way of intializing F. The v argument in scatteredInterpolant([x,y],v) needs to have the same number of rows as [x,y]. I could just as easily have done,
F=scatteredInterpolant([x,y],zeros(size(x)));
The program should consider all the data points corresponding to all coordinates to get the data at the query point.
What I've posted does compute the Temperature T(xq,yq,tq), where tq is a fixed time point, from all (x,y,tq). For each fixed (x,y) we've assumed that the temperatures are all sampled at the same set of times t. That being the case, we don't need to consider Temperatures at times other than tq to get T(xq,yq,tq).

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