[Gimp-developer] how layers actually get merged?

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hi,
Assume there are four layers, all of which are in Normal mode and grayscale.
for a specific pixel in each layer,
Their intensity and alpha values(mapped to [0,1]) are
i1,a1
i2,a2
i3,a3
i4(background)

the merged intensity is ((i1*a1+i2*(1-a1))*a2+i3*(1-a2))*a3+i4*(1-a3)
am I correct? Thanks!



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