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How can I interpolate with a Matrix and a Vector to another vector?

Asked by José Cabrera on 20 Aug 2019
Latest activity Answered by KSSV
on 20 Aug 2019
Hi there,
I have the following data in MATLAB, as two vectors (Temperature and Concentration) and one matrix (Enthalpy):
Capture.PNG
I use the following code to get a value within the Enthalpy matrix using both vectors:
interp2(Temperature,Concentration,Enthalpy,10,5)
ans = 37,22
Thats ok; Now I would like to get a value within Temperature Vector using the Concentration Vector and the Enthalpy Matrix as:
interp2(Concentration,Enthalpy,Temperature,55.58,88.6199)
which should give a value between 30°C and 40°C, but I get:
Error using griddedInterpolant
The number of input coordinate arrays does not equal the number of dimensions (NDIMS) of these arrays.
Error in interp2>makegriddedinterp (line 228)
F = griddedInterpolant(varargin{:});
Error in interp2 (line 136)
F = makegriddedinterp(X, Y, V, method,extrap);
Im little new using MATLAB, it surely shall be a dimension problem when I trying interpolate using a matrix and vector.
If anyone has any idea how to this, any help would be greatly appreciated.
Kind regards,
José C.

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1 Answer

Answer by KSSV
on 20 Aug 2019

YOu see, you cannot use Enthalpy as you have used, because it is not a valid meshgrid. Reather, you can treat the data as scattered data and use to get the values you want. Check the below demo code.
[X,Y,Z] = peaks(100) ;
val1 = interp2(X,Y,Z,3,3) ; % this works; X, Y are valid meshgrid
% val2 = interp2(X,Z,Y,3,val1) ; % this doesnot work; Z is not a avalid grid
F = scatteredInterpolant(X(:),Z(:),Y(:)) ;
val2 = F(3,val1) ;

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