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Summary

DescriptionBicubicInterpolationExample.png	Illustration of en:Bicubic interpolation on a dataset. Compare with Image:Nearest2DInterpolExample.png and Image:BilinearInterpolExample.png, they share the dataset.
Date	Unknown dateCategory: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

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.

Category:Self-published work#BicubicInterpolationExample.png Category:PD-self#BicubicInterpolationExample.png Category:Numerical analysis Category:Color interpolations Category:Images with Matlab source code