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Summary

Matlab code

[Xcoarse, Ycoarse] = meshgrid([0 1 2 3], [0 1 2 3]);
[Xfine, Yfine] = meshgrid(linspace(0,3,1500), linspace(0,3,1500));
DataCoarse = [ 1 2 4 1; ...
               6 3 5 2; ...
               4 2 1 5; ...
               5 4 2 3];
DataBilinearFine = interp2(Xcoarse, Ycoarse, DataCoarse, Xfine, Yfine, 'bilinear');
figure
surf(Xfine, Yfine, DataBilinearFine); shading flat; colormap(jet); view(0, 90)
hold on; plot3(Xcoarse, Ycoarse, 10*ones(size(Xcoarse)), 'k.', 'MarkerSize', 20)
colorbar
print -dpng -r300 BilinearInterpolExample.png

The files have been cropped in gimp to remove the empty Matlab border.

Licensing

This work has been released into the public domain by its author, I, Berland. This applies worldwide. In some countries this may not be legally possible; if so: I, Berland grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.