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Summary

Description Illustration of en:Bicubic interpolation on a dataset. Compare with Image:Nearest2DInterpolExample.png and Image:BilinearInterpolExample.png, they share the dataset.
Date Unknown date
Source self-made in en:Matlab
Author Berland

Matlab code

[Xcoarse, Ycoarse] = meshgrid([0 1 2 3], [0 1 2 3]);
[Xfine, Yfine] = meshgrid(linspace(0,3,3000), linspace(0,3,3000));
DataCoarse = [ 1 2 4 1; ...
               6 3 5 2; ...
               4 2 1 5; ...
               5 4 2 3];
DataBicubicFine  = interp2(Xcoarse, Ycoarse, DataCoarse, Xfine, Yfine, 'bicubic');
figure
surf(Xfine, Yfine, DataBicubicFine); shading flat; colormap(jet); view(0, 90)
hold on; plot3(Xcoarse, Ycoarse, 10*ones(size(Xcoarse)), 'k.', 'MarkerSize', 20)
colorbar
print -dpng -r300 BicubicInterpolationExample.png 

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

NOTE: Bicubic interpolation has the feature that it does not necessarily respect the initial data-interval. In this example:

>> max(max(DataBicubicFine))
ans =
    6.0701
>> min(min(DataBicubicFine)) 
ans =
    0.6882

whereas the input data has minimum 1 and maximum 6.

Licensing

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

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