2Dexamples 
Edge Preserving Smoothing

Nonlinear Gaussian Filter Chains


Prof. Dr. V. Aurich
Institut für Informatik
HeinrichHeineUniversität
Düsseldorf

Scale Space Example

An optimal nonlinear Gaussian filter chain has only two free parameters SigmaX and SigmaZ which determine the coarseness and the contrast of the signal fluctuations which are to be eliminated.
Hence they span a twodimensional scale space. This is illustrated by the following table of filter chain outputs for various parameter choices. Click to the images to view them in their original size of 512x512.


Original 



SigmaX=1 
SigmaX=2 
SigmaX=3 
SigmaZ=16 



SigmaZ=32 



SigmaZ=64 




Example for the Smoothing with a NonHorizontal Gaussian Filter Chain






true data 
noisy data 
filter result 

This is the example shown in the article on smoothers for discontinuous signals of Winkler, Liebscher, Aurich, p.29.
