Interpolating from one grid to another
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Luís Henrique Bordin
on 5 Apr 2024
Commented: Star Strider
on 23 Apr 2024
Hello experts
Please, could someone help me with an interpolation?
I have two different 2D scattered grids (X = longitude, Y = depth), and a variable temperature, from two different datasets. On the first one x and y are 41x37, and on the second 24x10. Also Temp1 (41x37) and Temp2 (24x10).
I need to compute the difference (Temp1 - Temp2), but for that, I need Temp2 to be on the same format (and coordenates) as Temp1, that is, 41x37. Then, I guess I have to interpolate X2, Y2, Temp2, to the coordinates of X1, Y1.
I tried scatteredInterpolant function, but I it doesn't work, moreover, it does not allow me to inform the reference coordinates, that is, X1,Y1.
Both scatteredInterpolant and TriScatteredInterp has the structure F = function(x,y,v), but I need something like NewTemp2 = function(X1,Y1,X2,Y2,Temp2).
Please, could someone help me with this?
The data is attached, thank you very much in advance!
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Accepted Answer
Star Strider
on 5 Apr 2024
Edited: Star Strider
on 5 Apr 2024
It appears that ‘Temp1’ seems to not have made it to the save function argument llist.
This interpolates ‘Temp2’ to the (X1,Y1) grids using scatteredInterpolant —
load('data.mat')
whos
figure
surfc(X2, Y2, Temp2)
grid on
xlabel('X2')
ylabel('Y2')
zlabel('Temp2')
X2Y2 = [X2(:), Y2(:)];
X2Y2(isinf(X2Y2)) = NaN;
X2Y2 = fillmissing(X2Y2, 'linear');
X2v = X2Y2(:,1);
Y2v = X2Y2(:,2);
FTemp2 = scatteredInterpolant(X2v(:), Y2v(:), Temp2(:));
Temp2i = FTemp2(X1, Y1);
figure
surfc(X1, Y1, Temp2i)
grid on
xlabel('X1')
ylabel('Y1')
zlabel('Temp2 — Interpolated To (‘X1,Y1’)')
Do the same sort of approach to interpolate ‘Temp1’ to the ‘Temp2’ grids, if necessary.
EDIT — Corrected typographical errors.
.
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