The Kuwahara Filter Modified is a Kuwahara Filter that has a user selectable number of overlapping segments. The pictures below show the original image, after applying the Kuwahara Filter with its normal 4 overlapping segements, and after applying the Kuwahara Filter but with 12 overlapping segments:

 

Before:

 

After Kuwahara Filter of size 5 (4 segments)

 

After Kuwahara Filter of size 5 Modified to use 12 segments: