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8. Bilateral and WLS Pyramids
We are allowed to use different blurring kernels, the equations of pyramid decomposition still work. Get a look, for instance, to the better SB:

(Fig 8.1) SB1(O) (Radius=2;Threshold=6), SB2(O) (R=3,T=10), SB3(O) (R=7,T=15)

(Fig 8.2) Difference layers D1, D2, D3 (I used SS1 to make them more evident).

(Fig 8.3) Result with Bilateral Pyramid decomposition for sharpening.
Can you spot the difference between Bilateral (read: which uses SB) and Gaussian pyramid equalizers? Maybe not that much here, but if youâll use one of your (high res, maybe high bit-depth) pictures, youâll ïŹnd that being edge-aware, the Bilateral pyramid shows little or no halos, which is quite a remarkable feature in my opinion. Shadow/Highlights with SB (instead of GB) in its âengineâ gives the same halo-free look by the way.
As Iâve said before,WLS ïŹlter is a much better edge-aware smoothing operator, therefore it can be used for even better enhancements (have a look to the website of WLSâ creators for examples). Adobe, anyone listening? :-)