Summary

Own work.

Illustrates bilinear interpolation on the unit square. The four corners have fixed values as indicated in the figure, and the values in between are interpolated, and the interpolated values are represented by the colour.

Done in Matlab, source code:

# Grid of known points:
>> [X, Y] = meshgrid(0:1)
# Grid for interpolated values:
>> [XI,YI] = meshgrid(0:0.001:1);
# Known values to interpolate from:
>> Z = [0 1; 1 0.5]
# Do bilinear interpolation
>> ZI = interp2(X,Y,Z,XI,YI);
# Visualize result:
>> surf(XI,YI,ZI, 'EdgeColor','none'); alpha(0.9)
>> view([0 90])
>> print -dpng Bilininterp.png

See also

• Image:BilinearInterpolExample.png

Licensing

I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.