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5. Combined use of different blurring kernels
Here I would like to suggest the joined use of a GB and SF ïŹlters (i.e. two kernels which differs in their edge-awareness) in order to modulate the sharpening. Iâm going to write some very simple and very unorthodox math; being O the Original picture, T and E respectively the Texture and Edge features of the picture (both belonging to the high frequency spatial range) weâve seen that:
GB = O - (T+E); (Eq. 5.1)
SB = O - T; (Eq. 5.2)
A subtraction gives the Edge only component:
(SB - GB) = O - T - O + T + E = E; (Eq. 5.3)
While, rearranging the second equation, we prove that Texture is boosted by SB:
(O - SB) = T; (Eq. 5.4)
This should give us all the instruments needed to modulate the sharpening in texture and edges separately, via subtraction layers/channels to be blended in LL mode. Letâs see. Following images are GB, SB versions and the scaled subtractions weâve talked about.

(Fig 5.1) Subtraction between SB (Radius=6 Threshold=15) and GB (Radius=4) to get an edge-only enhancement channel.

(Fig 5.2) Edge-enhancing channel applied to the original LL 50% opacity.

(Fig. 5.3) The result using SB (Radius = 6 and Threshold = 15) and GB (Radius = 4).
What we should see is a Edges only sharpening. So weâve been able to get a Texture and Edges sharpening (with GB), a Texture only sharpening (with SB) and an Edges only sharpening (using SB -GB). More pronounced effect can be obtained by higher opacity of the LL layers (when possible) or a sigmoid (aka S-shaped) curves adjustment layer clipped to it, whose opacity can be tweaked as well. In the ToDo list there are actions/scripts (and even a Photoshop CS4 panel) to automate the process.