File:Interpolation-bicubic.svg is a vector version of this file. It should be used in place of this PNG file when not inferior. File:BicubicInterpolationExample.png → File:Interpolation-bicubic.svg For more information, see Help:SVG. In other languages Alemannisch ∙ Bahasa Indonesia ∙ Bahasa Melayu ∙ British English ∙ català ∙ čeština ∙ dansk ∙ Deutsch ∙ eesti ∙ English ∙ español ∙ Esperanto ∙ euskara ∙ français ∙ Frysk ∙ galego ∙ hrvatski ∙ Ido ∙ italiano ∙ lietuvių ∙ magyar ∙ Nederlands ∙ norsk bokmål ∙ norsk nynorsk ∙ occitan ∙ Plattdüütsch ∙ polski ∙ português ∙ português do Brasil ∙ română ∙ Scots ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ suomi ∙ svenska ∙ Tiếng Việt ∙ Türkçe ∙ vèneto ∙ Ελληνικά ∙ беларуская (тарашкевіца) ∙ български ∙ македонски ∙ нохчийн ∙ русский ∙ српски / srpski ∙ татарча/tatarça ∙ українська ∙ ქართული ∙ հայերեն ∙ বাংলা ∙ தமிழ் ∙ മലയാളം ∙ ไทย ∙ 한국어 ∙ 日本語 ∙ 简体中文 ∙ 繁體中文 ∙ עברית ∙ العربية ∙ فارسی ∙ +/−

 

Summary

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, 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.